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1531310131351 = 711213795117491
BaseRepresentation
bin10110010010001001001…
…100100100100010010111
312102101120122011121110001
4112102021030210202113
5200042110343200401
63131250230312131
7215430202232230
oct26221114444227
95371518147401
101531310131351
11540474714500
122089407b8647
13b152c052c50
1454189ab2087
1529c76015601
hex16489324897

1531310131351 has 48 divisors (see below), whose sum is σ = 2071979736064. Its totient is φ = 1101240360000.

The previous prime is 1531310131321. The next prime is 1531310131361.

1531310131351 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1531310131351 - 27 = 1531310131223 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1531310131321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87539716 + ... + 87557206.

Almost surely, 21531310131351 is an apocalyptic number.

1531310131351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1531310131351 is a deficient number, since it is larger than the sum of its proper divisors (540669604713).

1531310131351 is a wasteful number, since it uses less digits than its factorization.

1531310131351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25484 (or 25473 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 28.

It can be divided in two parts, 1531310 and 131351, that added together give a palindrome (1662661).

The spelling of 1531310131351 in words is "one trillion, five hundred thirty-one billion, three hundred ten million, one hundred thirty-one thousand, three hundred fifty-one".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 7951 11011 17491 55657 87461 103363 122437 192401 227383 612227 723541 962071 1136993 1346807 1591681 2116411 2501213 6734497 7958951 12506923 14814877 17508491 27513343 87548461 139070941 192593401 973496587 1529780351 1807922233 10708462457 12655455631 16827583861 19887144563 117793087027 139210011941 218758590193 1531310131351