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131781764613303 = 3372833246120019
BaseRepresentation
bin11101111101101011010101…
…010001001000010010110111
3122021121012202202110211101000
4131331223111101020102313
5114233103023220111203
61144135412405134343
736520626656061030
oct3575532521102267
9567535682424330
10131781764613303
1138a983726429a2
12129442323ba3b3
13586bc758a2a3c
1424783b2b89a87
151037e2d24e4a3
hex77dad54484b7

131781764613303 has 32 divisors (see below), whose sum is σ = 223201323737600. Its totient is φ = 75277284225408.

The previous prime is 131781764613299. The next prime is 131781764613329. The reversal of 131781764613303 is 303316467187131.

131781764613303 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 8 + 17 + 6 + 4 + 613 + 3 + 0 + 3 = 666.

It is not a de Polignac number, because 131781764613303 - 22 = 131781764613299 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131781764613303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131781764693303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122524573 + ... + 123595446.

It is an arithmetic number, because the mean of its divisors is an integer number (6975041366800).

Almost surely, 2131781764613303 is an apocalyptic number.

131781764613303 is a deficient number, since it is larger than the sum of its proper divisors (91419559124297).

131781764613303 is a wasteful number, since it uses less digits than its factorization.

131781764613303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246122868 (or 246122862 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 131781764613303 in words is "one hundred thirty-one trillion, seven hundred eighty-one billion, seven hundred sixty-four million, six hundred thirteen thousand, three hundred three".

Divisors: 1 3 7 9 21 27 63 189 2833 8499 19831 25497 59493 76491 178479 535437 246120019 738360057 1722840133 2215080171 5168520399 6645240513 15505561197 46516683591 697258013827 2091774041481 4880806096789 6275322124443 14642418290367 18825966373329 43927254871101 131781764613303