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131142120400423 = 1125921572238893
BaseRepresentation
bin11101110100010111100111…
…100000000110011000100111
3122012100001201212001002120001
4131310113213200012120213
5114142113030310303143
61142525505225522131
736423463666011316
oct3564274740063047
9565301655032501
10131142120400423
1138871074109500
121286027a943347
1358238587c4302
1424554536b027d
151026492c7814d
hex7745e7806627

131142120400423 has 72 divisors (see below), whose sum is σ = 148244912514944. Its totient is φ = 115917689796480.

The previous prime is 131142120400393. The next prime is 131142120400427. The reversal of 131142120400423 is 324004021241131.

It is a happy number.

It is not a de Polignac number, because 131142120400423 - 245 = 95957748311591 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131142120400391 and 131142120400400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142120400427) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14746663765 + ... + 14746672657.

Almost surely, 2131142120400423 is an apocalyptic number.

131142120400423 is a deficient number, since it is larger than the sum of its proper divisors (17102792114521).

131142120400423 is a wasteful number, since it uses less digits than its factorization.

131142120400423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9413 (or 9343 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131142120400423 its reverse (324004021241131), we get a palindrome (455146141641554).

The spelling of 131142120400423 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred twenty million, four hundred thousand, four hundred twenty-three".

Divisors: 1 11 59 121 157 223 649 1727 2453 3481 7139 8893 9263 13157 18997 26983 35011 38291 97823 101893 144727 385121 421201 524687 546517 776263 1076053 1120823 1396201 1591997 1983139 2065649 4236331 5771557 6011687 8538893 15358211 21814529 22722139 30956533 63487127 66128557 82375859 93927823 117005201 121873291 168940321 239959819 249943529 311352823 340521863 906134449 1287057211 1340606201 3424881053 3745740493 4860175681 6903306859 9967478939 14157629321 14746668211 18369816557 37673691583 53461932491 75936375449 202067982127 588081257401 835300129939 1083819176863 2222747803397 11922010945493 131142120400423