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10313021112 = 23353591311049
BaseRepresentation
bin10011001101011010…
…00011011010111000
3222121201202202100220
421212231003122320
5132110113133422
64423203500040
7513365142642
oct114655033270
928551682326
1010313021112
114412482449
121bb9987620
13c847c6c74
146db965892
154055dee5c
hex266b436b8

10313021112 has 128 divisors (see below), whose sum is σ = 26943840000. Its totient is φ = 3287198720.

The previous prime is 10313021041. The next prime is 10313021113. The reversal of 10313021112 is 21112031301.

It is a happy number.

10313021112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10313021091 and 10313021100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10313021113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9830764 + ... + 9831812.

It is an arithmetic number, because the mean of its divisors is an integer number (210498750).

Almost surely, 210313021112 is an apocalyptic number.

10313021112 is a gapful number since it is divisible by the number (12) 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 10313021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13471920000).

10313021112 is an abundant number, since it is smaller than the sum of its proper divisors (16630818888).

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

10313021112 is a wasteful number, since it uses less digits than its factorization.

10313021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10313021112 its reverse (21112031301), we get a palindrome (31425052413).

The spelling of 10313021112 in words is "ten billion, three hundred thirteen million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 59 106 118 131 159 177 212 236 262 318 354 393 424 472 524 636 708 786 1048 1049 1272 1416 1572 2098 3127 3144 3147 4196 6254 6294 6943 7729 8392 9381 12508 12588 13886 15458 18762 20829 23187 25016 25176 27772 30916 37524 41658 46374 55544 55597 61832 61891 75048 83316 92748 111194 123782 137419 166632 166791 185496 185673 222388 247564 274838 333582 371346 409637 412257 444776 495128 549676 667164 742692 819274 824514 1099352 1228911 1334328 1485384 1638548 1649028 2457822 3277096 3280223 3298056 4915644 6560446 7283207 8107721 9831288 9840669 13120892 14566414 16215442 19681338 21849621 24323163 26241784 29132828 32430884 39362676 43699242 48646326 58265656 64861768 78725352 87398484 97292652 174796968 194585304 429709213 859418426 1289127639 1718836852 2578255278 3437673704 5156510556 10313021112