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31001131021320 = 23325341325231249
BaseRepresentation
bin1110000110010000000110…
…11001101111010000001000
311001202200100010100000112200
413003020003121233100020
513030410304020140240
6145533420055240200
76346520632562415
oct703100331572010
9131680303300480
1031001131021320
11997256229a009
123588288079060
13143b517b2a575
14792669ac910c
1538b6259a2930
hex1c320366f408

31001131021320 has 96 divisors (see below), whose sum is σ = 100783200375000. Its totient is φ = 8264545744896.

The previous prime is 31001131021283. The next prime is 31001131021321. The reversal of 31001131021320 is 2312013110013.

31001131021320 is a `hidden beast` number, since 3 + 1 + 0 + 0 + 11 + 310 + 21 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30044189262564 + 956941758756 = 5481258^2 + 978234^2 .

It is a super-2 number, since 2×310011310213202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31001131021293 and 31001131021302.

It is not an unprimeable number, because it can be changed into a prime (31001131021321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11386945 + ... + 13844304.

Almost surely, 231001131021320 is an apocalyptic number.

31001131021320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31001131021320 is an abundant number, since it is smaller than the sum of its proper divisors (69782069353680).

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

31001131021320 is a wasteful number, since it uses less digits than its factorization.

31001131021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25234679 (or 25234672 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31001131021320 its reverse (2312013110013), we get a palindrome (33313144131333).

The spelling of 31001131021320 in words is "thirty-one trillion, one billion, one hundred thirty-one million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3413 6826 10239 13652 17065 20478 27304 30717 34130 40956 51195 61434 68260 81912 102390 122868 136520 153585 204780 245736 307170 409560 614340 1228680 25231249 50462498 75693747 100924996 126156245 151387494 201849992 227081241 252312490 302774988 378468735 454162482 504624980 605549976 756937470 908324964 1009249960 1135406205 1513874940 1816649928 2270812410 3027749880 4541624820 9083249640 86114252837 172228505674 258342758511 344457011348 430571264185 516685517022 688914022696 775028275533 861142528370 1033371034044 1291713792555 1550056551066 1722285056740 2066742068088 2583427585110 3100113102132 3444570113480 3875141377665 5166855170220 6200226204264 7750282755330 10333710340440 15500565510660 31001131021320