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1153142031431 = 13709201162213
BaseRepresentation
bin10000110001111100100…
…111110000010001000111
311002020110110011200012002
4100301330213300101013
5122343113330001211
62241425055415515
7146211635353535
oct20617447602107
94066413150162
101153142031431
11405054683835
121675a0b2459b
138498279b3a0
143db53213155
151eee10e303b
hex10c7c9f0447

1153142031431 has 16 divisors (see below), whose sum is σ = 1244235205920. Its totient is φ = 1062391835520.

The previous prime is 1153142031373. The next prime is 1153142031463. The reversal of 1153142031431 is 1341302413511.

It is a cyclic number.

It is not a de Polignac number, because 1153142031431 - 210 = 1153142030407 is a prime.

It is a super-2 number, since 2×11531420314312 (a number of 25 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 = 1153142031394 and 1153142031403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153142034431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18504281 + ... + 18566493.

It is an arithmetic number, because the mean of its divisors is an integer number (77764700370).

Almost surely, 21153142031431 is an apocalyptic number.

1153142031431 is a deficient number, since it is larger than the sum of its proper divisors (91093174489).

1153142031431 is a wasteful number, since it uses less digits than its factorization.

1153142031431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64946.

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 1153142031431 its reverse (1341302413511), we get a palindrome (2494444444942).

The spelling of 1153142031431 in words is "one trillion, one hundred fifty-three billion, one hundred forty-two million, thirty-one thousand, four hundred thirty-one".

Divisors: 1 13 709 2011 9217 26143 62213 808769 1425799 18535387 44109017 125110343 573417221 1626434459 88703233187 1153142031431