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211040112312 = 23331377131661
BaseRepresentation
bin1100010010001011111…
…0001000111010111000
3202011201202012111111000
43010202332020322320
511424202232043222
6240541150005000
721150525233241
oct3044276107270
9664652174430
10211040112312
1181557706a67
1234a98aa6760
1316b9364c503
14a300433cc8
1557527d89ac
hex3122f88eb8

211040112312 has 64 divisors (see below), whose sum is σ = 590501613600. Its totient is φ = 69833214720.

The previous prime is 211040112307. The next prime is 211040112319. The reversal of 211040112312 is 213211040112.

211040112312 is a `hidden beast` number, since 21 + 10 + 401 + 1 + 231 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211040112319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3536239 + ... + 3595422.

Almost surely, 2211040112312 is an apocalyptic number.

It is an amenable number.

211040112312 is an abundant number, since it is smaller than the sum of its proper divisors (379461501288).

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

211040112312 is a wasteful number, since it uses less digits than its factorization.

211040112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131813 (or 7131803 counting only the distinct ones).

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

Adding to 211040112312 its reverse (213211040112), we get a palindrome (424251152424).

The spelling of 211040112312 in words is "two hundred eleven billion, forty million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 137 216 274 411 548 822 1096 1233 1644 2466 3288 3699 4932 7398 9864 14796 29592 7131661 14263322 21394983 28526644 42789966 57053288 64184949 85579932 128369898 171159864 192554847 256739796 385109694 513479592 770219388 977037557 1540438776 1954075114 2931112671 3908150228 5862225342 7816300456 8793338013 11724450684 17586676026 23448901368 26380014039 35173352052 52760028078 70346704104 105520056156 211040112312