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22132313214003 = 3247107753764879
BaseRepresentation
bin1010000100001000101001…
…01010101100110000110011
32220100211100221222001022100
411002010110222230300303
510400103434140322003
6115023235550311443
74443002232212316
oct502042452546063
986324327861270
1022132313214003
117063296903963
122595482ab8583
13c470b6a404c5
145672d14c497d
15285aa3d08ba3
hex142114aacc33

22132313214003 has 48 divisors (see below), whose sum is σ = 32959098132480. Its totient is φ = 14303861307648.

The previous prime is 22132313213987. The next prime is 22132313214029. The reversal of 22132313214003 is 30041231323122.

22132313214003 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 231 + 3 + 21 + 400 + 3 = 666.

It is not a de Polignac number, because 22132313214003 - 24 = 22132313213987 is a prime.

It is a super-4 number, since 4×221323132140034 (a number of 54 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (22132313214703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341099718 + ... + 341164596.

It is an arithmetic number, because the mean of its divisors is an integer number (686647877760).

Almost surely, 222132313214003 is an apocalyptic number.

22132313214003 is a deficient number, since it is larger than the sum of its proper divisors (10826784918477).

22132313214003 is a wasteful number, since it uses less digits than its factorization.

22132313214003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72576 (or 72573 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22132313214003 its reverse (30041231323122), we get a palindrome (52173544537125).

The spelling of 22132313214003 in words is "twenty-two trillion, one hundred thirty-two billion, three hundred thirteen million, two hundred fourteen thousand, three".

Divisors: 1 3 9 47 107 141 321 423 963 5029 7537 15087 22611 45261 64879 67833 194637 354239 583911 806459 1062717 2419377 3049313 3188151 6942053 7258131 9147939 20826159 27443817 37903573 62478477 113710719 326276491 341132157 488993023 978829473 1466979069 2936488419 4400937207 22982672081 52322253461 68948016243 156966760383 206844048729 470900281149 2459145912667 7377437738001 22132313214003