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112101202164 = 223721091749067
BaseRepresentation
bin110100001100111000…
…0001001100011110100
3101201100112012002212110
41220121300021203310
53314040401432124
6123255405451020
711045654332200
oct1503160114364
9351315162773
10112101202164
11435a622a426
1219886570a70
13a756918cb3
1455d62a3b00
152db17eb029
hex1a19c098f4

112101202164 has 72 divisors (see below), whose sum is σ = 307066378080. Its totient is φ = 31735053504.

The previous prime is 112101202163. The next prime is 112101202217. The reversal of 112101202164 is 461202101211.

It is a super-2 number, since 2×1121012021642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 112101202164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112101202163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 810442 + ... + 938625.

Almost surely, 2112101202164 is an apocalyptic number.

112101202164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112101202164 is an abundant number, since it is smaller than the sum of its proper divisors (194965175916).

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

112101202164 is a wasteful number, since it uses less digits than its factorization.

112101202164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749197 (or 1749188 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 112101202164 its reverse (461202101211), we get a palindrome (573303303375).

The spelling of 112101202164 in words is "one hundred twelve billion, one hundred one million, two hundred two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 109 147 196 218 294 327 436 588 654 763 1308 1526 2289 3052 4578 5341 9156 10682 16023 21364 32046 64092 1749067 3498134 5247201 6996268 10494402 12243469 20988804 24486938 36730407 48973876 73460814 85704283 146921628 171408566 190648303 257112849 342817132 381296606 514225698 571944909 762593212 1028451396 1143889818 1334538121 2287779636 2669076242 4003614363 5338152484 8007228726 9341766847 16014457452 18683533694 28025300541 37367067388 56050601082 112101202164