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11317313268180 = 22325182519344479
BaseRepresentation
bin1010010010110000010001…
…1011111110100111010100
31111001220222000112212010100
42210230010123332213110
52440410324144040210
640023034004054100
72245435400360343
oct244540433764724
944056860485110
1011317313268180
113673711330907
121329455394330
136412ab10b13a
142b1a91c21b5a
151495c8cc05c0
hexa4b046fe9d4

11317313268180 has 72 divisors (see below), whose sum is σ = 34329471321600. Its totient is φ = 3017924908992.

The previous prime is 11317313268167. The next prime is 11317313268229. The reversal of 11317313268180 is 8186231371311.

11317313268180 is a `hidden beast` number, since 1 + 1 + 3 + 173 + 1 + 326 + 81 + 80 = 666.

11317313268180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113173132681802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32681181 + ... + 33025659.

It is an arithmetic number, because the mean of its divisors is an integer number (476798212800).

Almost surely, 211317313268180 is an apocalyptic number.

11317313268180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11317313268180 is an abundant number, since it is smaller than the sum of its proper divisors (23012158053420).

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

11317313268180 is a wasteful number, since it uses less digits than its factorization.

11317313268180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527013 (or 527008 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11317313268180 in words is "eleven trillion, three hundred seventeen billion, three hundred thirteen million, two hundred sixty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 182519 344479 365038 547557 688958 730076 912595 1033437 1095114 1377916 1642671 1722395 1825190 2066874 2190228 2737785 3100311 3285342 3444790 3650380 4133748 5167185 5475570 6200622 6570684 6889580 8213355 10334370 10951140 12401244 15501555 16426710 20668740 31003110 32853420 62006220 62873962601 125747925202 188621887803 251495850404 314369813005 377243775606 565865663409 628739626010 754487551212 943109439015 1131731326818 1257479252020 1886218878030 2263462653636 2829328317045 3772437756060 5658656634090 11317313268180