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2131260406542 = 2325922321134259
BaseRepresentation
bin11111000000111001000…
…001001111101100001110
321112202011012110101022200
4133000321001033230032
5234404310131002132
64311030523022330
7306656422360041
oct37007101175416
97482135411280
102131260406542
11751953a35013
122a507696a9a6
13125c915c0397
14752214d0c58
153a68b80ed7c
hex1f03904fb0e

2131260406542 has 96 divisors (see below), whose sum is σ = 4720396262400. Its totient is φ = 694755173376.

The previous prime is 2131260406537. The next prime is 2131260406573. The reversal of 2131260406542 is 2456040621312.

2131260406542 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 2 + 604 + 0 + 6 + 5 + 42 = 666.

It is a super-2 number, since 2×21312604065422 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2131260406497 and 2131260406506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500411209 + ... + 500415467.

It is an arithmetic number, because the mean of its divisors is an integer number (49170794400).

Almost surely, 22131260406542 is an apocalyptic number.

2131260406542 is an abundant number, since it is smaller than the sum of its proper divisors (2589135855858).

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

2131260406542 is a wasteful number, since it uses less digits than its factorization.

2131260406542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6662 (or 6659 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2131260406542 in words is "two trillion, one hundred thirty-one billion, two hundred sixty million, four hundred six thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 59 118 177 223 354 446 531 669 1062 1338 2007 2113 4014 4226 4259 6339 8518 12678 12777 13157 19017 25554 26314 38034 38331 39471 76662 78942 118413 124667 236826 249334 251281 374001 471199 502562 748002 753843 942398 949757 1122003 1413597 1507686 1899514 2244006 2261529 2827194 2849271 4240791 4523058 5698542 8481582 8547813 8999267 17095626 17998534 26997801 27800741 53995602 55601482 56035663 80993403 83402223 112071326 161986806 166804446 168106989 250206669 336213978 500413338 504320967 530956753 1008641934 1061913506 1592870259 2006836541 3185740518 4013673082 4778610777 6020509623 9557221554 12041019246 18061528869 36123057738 118403355919 236806711838 355210067757 710420135514 1065630203271 2131260406542