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112012321140 = 223255801107273
BaseRepresentation
bin110100001010001110…
…1000110000101110100
3101201010022221111000200
41220110131012011310
53313400123234030
6123242512440500
711043525006636
oct1502435060564
9351108844020
10112012321140
1143560042835
1219860849130
13a741399485
1455c8568a56
152da8ae0d60
hex1a14746174

112012321140 has 72 divisors (see below), whose sum is σ = 339832446408. Its totient is φ = 29864524800.

The previous prime is 112012321129. The next prime is 112012321151. The reversal of 112012321140 is 41123210211.

112012321140 is a `hidden beast` number, since 1 + 1 + 201 + 2 + 321 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (112012321129) and next prime (112012321151).

It can be written as a sum of positive squares in 4 ways, for example, as 13413809124 + 98598512016 = 115818^2 + 314004^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 990544 + ... + 1097816.

It is an arithmetic number, because the mean of its divisors is an integer number (4719895089).

Almost surely, 2112012321140 is an apocalyptic number.

112012321140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112012321140 is an abundant number, since it is smaller than the sum of its proper divisors (227820125268).

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

112012321140 is a wasteful number, since it uses less digits than its factorization.

112012321140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113089 (or 113084 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112012321140 its reverse (41123210211), we get a palindrome (153135531351).

The spelling of 112012321140 in words is "one hundred twelve billion, twelve million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5801 11602 17403 23204 29005 34806 52209 58010 69612 87015 104418 107273 116020 174030 208836 214546 261045 321819 348060 429092 522090 536365 643638 965457 1044180 1072730 1287276 1609095 1930914 2145460 3218190 3861828 4827285 6436380 9654570 19309140 622290673 1244581346 1866872019 2489162692 3111453365 3733744038 5600616057 6222906730 7467488076 9334360095 11201232114 12445813460 18668720190 22402464228 28003080285 37337440380 56006160570 112012321140