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12032130202331 = 17195938310911511
BaseRepresentation
bin1010111100010111001011…
…0110001011101011011011
31120121021000211201111102012
42233011302312023223123
53034113300312433311
641331252335500135
72351202255145541
oct257056266135333
946537024644365
1012032130202331
113919885905428
121423aa808764b
136938181b8925
142d8502cd5d91
1515ceb3a7a78b
hexaf172d8badb

12032130202331 has 64 divisors (see below), whose sum is σ = 13694917017600. Its totient is φ = 10502369395200.

The previous prime is 12032130202291. The next prime is 12032130202363. The reversal of 12032130202331 is 13320203123021.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12032130202331 is a prime.

It is a super-2 number, since 2×120321302023312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12032130202297 and 12032130202306.

It is not an unprimeable number, because it can be changed into a prime (12032130202231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7963023866 + ... + 7963025376.

It is an arithmetic number, because the mean of its divisors is an integer number (213983078400).

Almost surely, 212032130202331 is an apocalyptic number.

12032130202331 is a deficient number, since it is larger than the sum of its proper divisors (1662786815269).

12032130202331 is a wasteful number, since it uses less digits than its factorization.

12032130202331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12032130202331 its reverse (13320203123021), we get a palindrome (25352333325352).

The spelling of 12032130202331 in words is "twelve trillion, thirty-two billion, one hundred thirty million, two hundred two thousand, three hundred thirty-one".

Divisors: 1 17 19 59 323 383 1003 1091 1121 1511 6511 7277 18547 19057 20729 22597 25687 28709 64369 89149 123709 352393 384149 417853 429343 488053 578713 1094273 1223011 1515533 1648501 1693831 7103501 7298831 7939207 9838121 10995547 20791187 24653327 28024517 28795127 31321519 34144067 97261559 134966519 186924299 419106559 468413213 532465823 580449139 631375883 648737273 1653446503 1847969621 7963024621 10733390011 11028533641 11996141777 31415483557 37251177097 203934410209 633270010649 707772364843 12032130202331