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110022120100 = 225219552710477
BaseRepresentation
bin110011001110111010…
…1000101001010100100
3101111222122000210110001
41212131311011022210
53300311130320400
6122313215511044
710643310406354
oct1463565051244
9344878023401
10110022120100
1142729689292
12193a6228484
13a4b4c73319
14547a100b64
152cde016a6a
hex199dd452a4

110022120100 has 72 divisors (see below), whose sum is σ = 251383146560. Its totient is φ = 41681070720.

The previous prime is 110022120073. The next prime is 110022120113. The reversal of 110022120100 is 1021220011.

It is a super-2 number, since 2×1100221201002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10496062 + ... + 10506538.

Almost surely, 2110022120100 is an apocalyptic number.

110022120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110022120100 is an abundant number, since it is smaller than the sum of its proper divisors (141361026460).

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

110022120100 is a wasteful number, since it uses less digits than its factorization.

110022120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16037 (or 16030 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110022120100 its reverse (1021220011), we get a palindrome (111043340111).

The spelling of 110022120100 in words is "one hundred ten billion, twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 5527 10477 11054 20954 22108 27635 41908 52385 55270 104770 105013 110540 138175 199063 209540 210026 261925 276350 398126 420052 523850 525065 552700 796252 995315 1047700 1050130 1990630 2100260 2625325 3981260 4976575 5250650 9953150 10501300 19906300 57906379 115812758 231625516 289531895 579063790 1100221201 1158127580 1447659475 2200442402 2895318950 4400884804 5501106005 5790637900 11002212010 22004424020 27505530025 55011060050 110022120100