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1112022202100 = 2252671313893257
BaseRepresentation
bin10000001011101001101…
…100000011011011110100
310221022022201221220122012
4100023221230003123310
5121204410140431400
62210504515023352
7143224642521305
oct20135154033364
93838281856565
101112022202100
113996735a7407
1215b625b9ab58
1380b2b714624
143bb720247ac
151ddd6159d35
hex102e9b036f4

1112022202100 has 144 divisors (see below), whose sum is σ = 2474903471040. Its totient is φ = 433574169600.

The previous prime is 1112022202009. The next prime is 1112022202139. The reversal of 1112022202100 is 12022202111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341423672 + ... + 341426928.

It is an arithmetic number, because the mean of its divisors is an integer number (17186829660).

Almost surely, 21112022202100 is an apocalyptic number.

1112022202100 is a gapful number since it is divisible by the number (10) 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 1112022202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237451735520).

1112022202100 is an abundant number, since it is smaller than the sum of its proper divisors (1362881268940).

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

1112022202100 is a wasteful number, since it uses less digits than its factorization.

1112022202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1112022202100 its reverse (12022202111), we get a palindrome (1124044404211).

The spelling of 1112022202100 in words is "one trillion, one hundred twelve billion, twenty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 131 134 262 268 335 389 524 655 670 778 1310 1340 1556 1675 1945 2620 3257 3275 3350 3890 6514 6550 6700 7780 8777 9725 13028 13100 16285 17554 19450 26063 32570 35108 38900 43885 50959 52126 65140 81425 87770 101918 104252 130315 162850 175540 203836 218219 219425 254795 260630 325700 426667 436438 438850 509590 521260 651575 853334 872876 877700 1019180 1091095 1266973 1273975 1303150 1706668 2133335 2182190 2533946 2547950 2606300 3414253 4266670 4364380 5067892 5095900 5455475 6334865 6828506 8533340 10666675 10910950 12669730 13657012 17071265 21333350 21821900 25339460 28586689 31674325 34142530 42666700 57173378 63348650 68285060 84887191 85356325 114346756 126697300 142933445 165973463 169774382 170712650 285866890 331946926 339548764 341425300 424435955 571733780 663893852 714667225 829867315 848871910 1429334450 1659734630 1697743820 2122179775 2858668900 3319469260 4149336575 4244359550 8298673150 8488719100 11120222021 16597346300 22240444042 44480888084 55601110105 111202220210 222404440420 278005550525 556011101050 1112022202100