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131345503000334 = 2773318740325731
BaseRepresentation
bin11101110111010101000010…
…000011001001011100001110
3122020001111200221021122210122
4131313111002003021130032
5114203431042232002314
61143203142512504542
736444254002412540
oct3567250203113416
9566044627248718
10131345503000334
113893a351301017
121289377b24b152
135839a9b85639c
142461228b0d690
15102b8e816928e
hex7775420c970e

131345503000334 has 32 divisors (see below), whose sum is σ = 228319778102016. Its totient is φ = 55502399136960.

The previous prime is 131345503000333. The next prime is 131345503000337. The reversal of 131345503000334 is 433000305543131.

It is a happy number.

It is a super-2 number, since 2×1313455030003342 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131345503000294 and 131345503000303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131345503000333) 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 15 ways as a sum of consecutive naturals, for example, 16905752 + ... + 23419979.

It is an arithmetic number, because the mean of its divisors is an integer number (7134993065688).

Almost surely, 2131345503000334 is an apocalyptic number.

131345503000334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131345503000334 is a deficient number, since it is larger than the sum of its proper divisors (96974275101682).

131345503000334 is a wasteful number, since it uses less digits than its factorization.

131345503000334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40329000.

The product of its (nonzero) digits is 97200, while the sum is 35.

Adding to 131345503000334 its reverse (433000305543131), we get a palindrome (564345808543465).

The spelling of 131345503000334 in words is "one hundred thirty-one trillion, three hundred forty-five billion, five hundred three million, three hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 7 14 73 146 511 1022 3187 6374 22309 44618 232651 465302 1628557 3257114 40325731 80651462 282280117 564560234 2943778363 5887556726 20606448541 41212897082 128518104697 257036209394 899626732879 1799253465758 9381821642881 18763643285762 65672751500167 131345503000334