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100112211222112 = 2523391140738539
BaseRepresentation
bin10110110000110100110000…
…110010011001111001100000
3111010110122010010112020011001
4112300310300302121321200
5101110214302033101422
6552530525342401344
730041603630611345
oct2660646062317140
9433418103466131
10100112211222112
1129998394351181
12b28a500b90254
1343b27057a33ab
141aa16579547cc
15b89235a9e227
hex5b0d30c99e60

100112211222112 has 96 divisors (see below), whose sum is σ = 205792495050240. Its totient is φ = 47850154091520.

The previous prime is 100112211222097. The next prime is 100112211222139. The reversal of 100112211222112 is 211222112211001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100112211222112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11724109939 + ... + 11724118477.

It is an arithmetic number, because the mean of its divisors is an integer number (2143671823440).

Almost surely, 2100112211222112 is an apocalyptic number.

It is an amenable number.

100112211222112 is an abundant number, since it is smaller than the sum of its proper divisors (105680283828128).

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

100112211222112 is a wasteful number, since it uses less digits than its factorization.

100112211222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16556 (or 16548 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 100112211222112 its reverse (211222112211001), we get a palindrome (311334323433113).

The spelling of 100112211222112 in words is "one hundred trillion, one hundred twelve billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 3911 4073 7822 8146 8539 15644 16292 17078 31288 32584 34156 62576 65168 68312 89953 93679 125152 130336 136624 179906 187358 196397 273248 359812 374716 392794 719624 749432 785588 1439248 1498864 1571176 2878496 2997728 3142352 6284704 15929503 31859006 33396029 34779347 63718012 66792058 69558694 127436024 133584116 139117388 254872048 267168232 278234776 366378569 509744096 534336464 556469552 732757138 768108667 799924981 1068672928 1112939104 1465514276 1536217334 1599849962 2931028552 3072434668 3199699924 5862057104 6144869336 6399399848 11724114208 12289738672 12798799696 24579477344 25597599392 136022026117 272044052234 544088104468 1088176208936 2176352417872 3128506600691 4352704835744 6257013201382 12514026402764 25028052805528 50056105611056 100112211222112