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12361107401334 = 235892837100733
BaseRepresentation
bin1011001111100000101101…
…1010100110101001110110
31121202201011211100202100000
42303320023122212221312
53110011021443320314
642142340410532130
72414026523203026
oct263701332465166
947681154322300
1012361107401334
113a3635296917a
1214777b9a37046
136b885551b123
1430a3d06bba86
1516681a17b209
hexb3e0b6a6a76

12361107401334 has 96 divisors (see below), whose sum is σ = 28096590281760. Its totient is φ = 4072596371712.

The previous prime is 12361107401323. The next prime is 12361107401369. The reversal of 12361107401334 is 43310470116321.

12361107401334 is a `hidden beast` number, since 1 + 2 + 3 + 611 + 0 + 7 + 4 + 0 + 1 + 3 + 34 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122661232 + ... + 122761964.

It is an arithmetic number, because the mean of its divisors is an integer number (292672815435).

Almost surely, 212361107401334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12361107401334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14048295140880).

12361107401334 is an abundant number, since it is smaller than the sum of its proper divisors (15735482880426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12361107401334 is a wasteful number, since it uses less digits than its factorization.

12361107401334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103676 (or 103664 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 12361107401334 its reverse (43310470116321), we get a palindrome (55671577517655).

The spelling of 12361107401334 in words is "twelve trillion, three hundred sixty-one billion, one hundred seven million, four hundred one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 243 267 486 534 801 1602 2403 2837 4806 5674 7209 8511 14418 17022 21627 25533 43254 51066 76599 100733 153198 201466 229797 252493 302199 459594 504986 604398 689391 757479 906597 1378782 1514958 1813194 2272437 2719791 4544874 5439582 6817311 8159373 8965237 13634622 16318746 17930474 20451933 24478119 26895711 40903866 48956238 53791422 61355799 80687133 122711598 161374266 242061399 285779521 484122798 571559042 726184197 857338563 1452368394 1714677126 2178552591 2572015689 4357105182 5144031378 7716047067 15432094134 23148141201 25434377369 46296282402 50868754738 69444423603 76303132107 138888847206 152606264214 228909396321 457818792642 686728188963 1373456377926 2060184566889 4120369133778 6180553700667 12361107401334