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112022101002 = 23759131345089
BaseRepresentation
bin110100001010100001…
…0011001110000001010
3101201011000100100110210
41220111002121300022
53313410124213002
6123243502221550
711044004101440
oct1502502316012
9351130310423
10112022101002
1143565612569
1219863b848b6
13a743411a86
1455c9992b90
152da98c396c
hex1a15099c0a

112022101002 has 64 divisors (see below), whose sum is σ = 262378828800. Its totient is φ = 31223562240.

The previous prime is 112022100989. The next prime is 112022101003. The reversal of 112022101002 is 200101220211.

It is a super-2 number, since 2×1120221010022 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112022101003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152074 + ... + 497162.

It is an arithmetic number, because the mean of its divisors is an integer number (4099669200).

Almost surely, 2112022101002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112022101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131189414400).

112022101002 is an abundant number, since it is smaller than the sum of its proper divisors (150356727798).

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

112022101002 is a wasteful number, since it uses less digits than its factorization.

112022101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345291.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112022101002 its reverse (200101220211), we get a palindrome (312123321213).

The spelling of 112022101002 in words is "one hundred twelve billion, twenty-two million, one hundred one thousand, two".

Divisors: 1 2 3 6 7 14 21 42 59 118 131 177 262 354 393 413 786 826 917 1239 1834 2478 2751 5502 7729 15458 23187 46374 54103 108206 162309 324618 345089 690178 1035267 2070534 2415623 4831246 7246869 14493738 20360251 40720502 45206659 61080753 90413318 122161506 135619977 142521757 271239954 285043514 316446613 427565271 632893226 855130542 949339839 1898679678 2667192881 5334385762 8001578643 16003157286 18670350167 37340700334 56011050501 112022101002