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130121114132131 = 1759156618283757
BaseRepresentation
bin11101100101100000101110…
…110010010001111010100011
3122001201110100011121200020021
4131211200232302101322203
5114023401020204212011
61140424451542054311
736256640336636503
oct3545405662217243
9561643304550207
10130121114132131
113850806674a301
1212716415a1a397
13577b4a352a825
14241bc77481a03
151009b37277471
hex76582ec91ea3

130121114132131 has 16 divisors (see below), whose sum is σ = 140119435219680. Its totient is φ = 120383518394880.

The previous prime is 130121114132077. The next prime is 130121114132143. The reversal of 130121114132131 is 131231411121031.

It is a cyclic number.

It is not a de Polignac number, because 130121114132131 - 27 = 130121114132003 is a prime.

It is a super-2 number, since 2×1301211141321312 (a number of 29 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 = 130121114132096 and 130121114132105.

It is not an unprimeable number, because it can be changed into a prime (130121114532131) 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, 11566105 + ... + 19849861.

It is an arithmetic number, because the mean of its divisors is an integer number (8757464701230).

Almost surely, 2130121114132131 is an apocalyptic number.

130121114132131 is a deficient number, since it is larger than the sum of its proper divisors (9998321087549).

130121114132131 is a wasteful number, since it uses less digits than its factorization.

130121114132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8299494.

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 130121114132131 its reverse (131231411121031), we get a palindrome (261352525253162).

The spelling of 130121114132131 in words is "one hundred thirty trillion, one hundred twenty-one billion, one hundred fourteen million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 17 59 1003 15661 266237 923999 8283757 15707983 140823869 488741663 8308608271 129731918377 2205442612409 7654183184243 130121114132131