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200310023300112 = 243311310913558309
BaseRepresentation
bin101101100010111001001111…
…110010001010010000010000
3222021020110011221011111012000
4231202321033302022100100
5202223334411431100422
61550005053200434000
760122631053014365
oct5542711762122020
9867213157144160
10200310023300112
1158909005099350
121a571511618900
1387a02008754ab
1437670b203246c
1518257cb6aecac
hexb62e4fc8a410

200310023300112 has 160 divisors (see below), whose sum is σ = 627435200208000. Its totient is φ = 60680478620160.

The previous prime is 200310023300083. The next prime is 200310023300147. The reversal of 200310023300112 is 211003320013002.

200310023300112 is a `hidden beast` number, since 20 + 0 + 310 + 0 + 2 + 330 + 0 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7994814 + ... + 21553122.

It is an arithmetic number, because the mean of its divisors is an integer number (3921470001300).

Almost surely, 2200310023300112 is an apocalyptic number.

200310023300112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200310023300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313717600104000).

200310023300112 is an abundant number, since it is smaller than the sum of its proper divisors (427125176907888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200310023300112 is a wasteful number, since it uses less digits than its factorization.

200310023300112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13561446 (or 13561434 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 200310023300112 its reverse (211003320013002), we get a palindrome (411313343313114).

The spelling of 200310023300112 in words is "two hundred trillion, three hundred ten billion, twenty-three million, three hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 3109 4752 6218 9327 12436 18654 24872 27981 34199 37308 49744 55962 68398 74616 83943 102597 111924 136796 149232 167886 205194 223848 273592 307791 335772 410388 447696 547184 615582 671544 820776 923373 1231164 1343088 1641552 1846746 2462328 3693492 4924656 7386984 13558309 14773968 27116618 40674927 54233236 81349854 108466472 122024781 149141399 162699708 216932944 244049562 298282798 325399416 366074343 447424197 488099124 596565596 650798832 732148686 894848394 976198248 1193131192 1342272591 1464297372 1789696788 1952396496 2386262384 2684545182 2928594744 3579393576 4026817773 5369090364 5857189488 7158787152 8053635546 10738180728 16107271092 21476361456 32214542184 42152782681 64429084368 84305565362 126458348043 168611130724 252916696086 337222261448 379375044129 463680609491 505833392172 674444522896 758750088258 927361218982 1011666784344 1138125132387 1391041828473 1517500176516 1854722437964 2023333568688 2276250264774 2782083656946 3035000353032 3709444875928 4173125485419 4552500529548 5564167313892 6070000706064 7418889751856 8346250970838 9105001059096 11128334627784 12519376456257 16692501941676 18210002118192 22256669255568 25038752912514 33385003883352 50077505825028 66770007766704 100155011650056 200310023300112