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13143022034131 = 1121011075445711
BaseRepresentation
bin1011111101000001100100…
…1010001101110011010011
31201112110102210200122111201
42333100121022031303103
53210313402120043011
643541453155052031
72524360224004003
oct277203112156323
951473383618451
1013143022034131
114207a19333900
1215832575a1017
137444c6677b92
143361a8b54003
1517bd30850cc1
hexbf41928dcd3

13143022034131 has 12 divisors (see below), whose sum is σ = 14589496528992. Its totient is φ = 11829902810000.

The previous prime is 13143022034119. The next prime is 13143022034147.

13143022034131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13143022034131 - 229 = 13142485163219 is a prime.

It is a super-2 number, since 2×131430220341312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13143022034131.

It is not an unprimeable number, because it can be changed into a prime (13143022032131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537710635 + ... + 537735076.

It is an arithmetic number, because the mean of its divisors is an integer number (1215791377416).

Almost surely, 213143022034131 is an apocalyptic number.

13143022034131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13143022034131 is a deficient number, since it is larger than the sum of its proper divisors (1446474494861).

13143022034131 is a wasteful number, since it uses less digits than its factorization.

13143022034131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075445834 (or 1075445823 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 1314302 and 2034131, that added together give a palindrome (3348433).

The spelling of 13143022034131 in words is "thirteen trillion, one hundred forty-three billion, twenty-two million, thirty-four thousand, one hundred thirty-one".

Divisors: 1 11 101 121 1111 12221 1075445711 11829902821 108620016811 130128931031 1194820184921 13143022034131