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131333131020 = 223572133436241
BaseRepresentation
bin111101001010000010…
…0001000101100001100
3110112222211110022120210
41322110010020230030
54122432240143040
6140200020442420
712326362123500
oct1722404105414
9415884408523
10131333131020
1150775146203
1221553249410
13c50013c960
1464dc572300
153639dea480
hex1e94108b0c

131333131020 has 144 divisors (see below), whose sum is σ = 460676347488. Its totient is φ = 27709839360.

The previous prime is 131333131009. The next prime is 131333131037. The reversal of 131333131020 is 20131333131.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1679901 + ... + 1756340.

It is an arithmetic number, because the mean of its divisors is an integer number (3199141302).

Almost surely, 2131333131020 is an apocalyptic number.

131333131020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131333131020 is an abundant number, since it is smaller than the sum of its proper divisors (329343216468).

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

131333131020 is a wasteful number, since it uses less digits than its factorization.

131333131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436280 (or 3436271 counting only the distinct ones).

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

Adding to 131333131020 its reverse (20131333131), we get a palindrome (151464464151).

The spelling of 131333131020 in words is "one hundred thirty-one billion, three hundred thirty-three million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3822 5460 6370 7644 9555 12740 19110 38220 3436241 6872482 10308723 13744964 17181205 20617446 24053687 34362410 41234892 44671133 48107374 51543615 68724820 72161061 89342266 96214748 103087230 120268435 134013399 144322122 168375809 178684532 206174460 223355665 240536870 268026798 288644244 312697931 336751618 360805305 446711330 481073740 505127427 536053596 625395862 670066995 673503236 721610610 841879045 893422660 938093793 1010254854 1250791724 1340133990 1443221220 1563489655 1683758090 1876187586 2020509708 2188885517 2525637135 2680267980 3126979310 3367516180 3752375172 4377771034 4690468965 5051274270 6253958620 6566656551 8755542068 9380937930 10102548540 10944427585 13133313102 18761875860 21888855170 26266626204 32833282755 43777710340 65666565510 131333131020