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2132114112312 = 233157958439629
BaseRepresentation
bin11111000001101011111…
…001110111111100111000
321112211100200212010110220
4133001223321313330320
5234413032203043222
64311251340540040
7310016526634122
oct37015371677470
97484320763426
102132114112312
11752251917878
122a5274851620
13126099428322
14752a2a3a212
153a6db744b5c
hex1f06be77f38

2132114112312 has 64 divisors (see below), whose sum is σ = 5335127856000. Its totient is φ = 710059300224.

The previous prime is 2132114112301. The next prime is 2132114112329.

2132114112312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221421514 + ... + 221431142.

It is an arithmetic number, because the mean of its divisors is an integer number (83361372750).

Almost surely, 22132114112312 is an apocalyptic number.

It is an amenable number.

2132114112312 is an abundant number, since it is smaller than the sum of its proper divisors (3203013743688).

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

2132114112312 is a wasteful number, since it uses less digits than its factorization.

2132114112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17060 (or 17056 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The spelling of 2132114112312 in words is "two trillion, one hundred thirty-two billion, one hundred fourteen million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 1579 3158 4737 5843 6316 9474 9629 11686 12632 17529 18948 19258 23372 28887 35058 37896 38516 46744 57774 70116 77032 115548 140232 231096 9226097 15204191 18452194 27678291 30408382 36904388 45612573 55356582 56262247 60816764 73808776 91225146 110713164 112524494 121633528 168786741 182450292 221426328 225048988 337573482 364900584 450097976 675146964 1350293928 88838088013 177676176026 266514264039 355352352052 533028528078 710704704104 1066057056156 2132114112312