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131330103312 = 243179147110391
BaseRepresentation
bin111101001001111100…
…0100101100000010000
3110112222121202111100110
41322103320211200100
54122431001301222
6140155431521320
712326324313402
oct1722370454020
9415877674313
10131330103312
1150773468471
1221552229240
13c4cc61c805
1464dbdc4b72
1536399ed30c
hex1e93e25810

131330103312 has 80 divisors (see below), whose sum is σ = 341429575680. Its totient is φ = 43498358400.

The previous prime is 131330103269. The next prime is 131330103391. The reversal of 131330103312 is 213301033131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12633637 + ... + 12644027.

It is an arithmetic number, because the mean of its divisors is an integer number (4267869696).

Almost surely, 2131330103312 is an apocalyptic number.

131330103312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131330103312 is an abundant number, since it is smaller than the sum of its proper divisors (210099472368).

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

131330103312 is a wasteful number, since it uses less digits than its factorization.

131330103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12052 (or 12046 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 131330103312 its reverse (213301033131), we get a palindrome (344631136443).

It can be divided in two parts, 1 and 31330103312, that added together give a palindrome (31330103313).

The spelling of 131330103312 in words is "one hundred thirty-one billion, three hundred thirty million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 179 358 537 716 1074 1432 1471 2148 2864 2942 4296 4413 5884 8592 8826 10391 11768 17652 20782 23536 31173 35304 41564 62346 70608 83128 124692 166256 249384 263309 498768 526618 789927 1053236 1579854 1859989 2106472 3159708 3719978 4212944 5579967 6319416 7439956 11159934 12638832 14879912 15285161 22319868 29759824 30570322 44639736 45855483 61140644 89279472 91710966 122281288 183421932 244562576 366843864 733687728 2736043819 5472087638 8208131457 10944175276 16416262914 21888350552 32832525828 43776701104 65665051656 131330103312