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31231221332130 = 2345167829727827
BaseRepresentation
bin1110001100111100101011…
…10110100111100010100010
311002120200020111211212120000
413012132111312213202202
513043143020130112010
6150231231445200430
76402244531134201
oct706362566474242
9132520214755500
1031231221332130
119a510a5278076
1236049a0a00116
131457126142081
1479d856203238
153925e093e7c0
hex1c6795da78a2

31231221332130 has 160 divisors (see below), whose sum is σ = 84493360296576. Its totient is φ = 8277160248576.

The previous prime is 31231221332117. The next prime is 31231221332131. The reversal of 31231221332130 is 3123312213213.

31231221332130 is a `hidden beast` number, since 3 + 1 + 2 + 312 + 2 + 1 + 332 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31231221332094 and 31231221332103.

It is not an unprimeable number, because it can be changed into a prime (31231221332131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1122321277 + ... + 1122349103.

Almost surely, 231231221332130 is an apocalyptic number.

31231221332130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31231221332130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42246680148288).

31231221332130 is an abundant number, since it is smaller than the sum of its proper divisors (53262138964446).

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

31231221332130 is a wasteful number, since it uses less digits than its factorization.

31231221332130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36310 (or 36301 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31231221332130 its reverse (3123312213213), we get a palindrome (34354533545343).

The spelling of 31231221332130 in words is "thirty-one trillion, two hundred thirty-one billion, two hundred twenty-one million, three hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 167 270 334 405 501 810 835 1002 1503 1670 2505 3006 4509 5010 7515 8297 9018 13527 15030 16594 22545 24891 27054 27827 41485 45090 49782 55654 67635 74673 82970 83481 124455 135270 139135 149346 166962 224019 248910 250443 278270 373365 417405 448038 500886 672057 746730 751329 834810 1120095 1252215 1344114 1385599 1502658 2240190 2253987 2504430 2771198 3360285 3756645 4156797 4507974 4647109 6720570 6927995 7513290 8313594 9294218 11269935 12470391 13855990 13941327 20783985 22539870 23235545 24940782 27882654 37411173 41567970 41823981 46471090 62351955 69706635 74822346 83647962 112233519 124703910 125471943 139413270 187055865 209119905 224467038 230880619 250943886 374111730 376415829 418239810 461761238 561167595 627359715 692641857 752831658 1122335190 1154403095 1254719430 1385283714 1882079145 2077925571 2308806190 3463209285 3764158290 4155851142 6233776713 6926418570 10389627855 12467553426 18701330139 20779255710 31168883565 37402660278 38557063373 62337767130 77114126746 93506650695 115671190119 187013301390 192785316865 231342380238 347013570357 385570633730 578355950595 694027140714 1041040711071 1156711901190 1735067851785 2082081422142 3123122133213 3470135703570 5205203555355 6246244266426 10410407110710 15615610666065 31231221332130