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31212331313130 = 232511223971407671
BaseRepresentation
bin1110001100011001011111…
…11010111010011111101010
311002111212111000221110222200
413012030233322322133222
513042340323304010010
6150214425210401030
76401005444463412
oct706145772723752
9132455430843880
1031212331313130
119a44091360220
1236011aa730176
131455405701136
1479c9834d7642
15391d8737bcc0
hex1c632feba7ea

31212331313130 has 96 divisors (see below), whose sum is σ = 88533537176448. Its totient is φ = 7566282556800.

The previous prime is 31212331313129. The next prime is 31212331313143. The reversal of 31212331313130 is 3131313321213.

31212331313130 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 2 + 331 + 313 + 13 + 0 = 666.

It is a super-2 number, since 2×312123313131302 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31212331313094 and 31212331313103.

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, 21469195 + ... + 22876865.

It is an arithmetic number, because the mean of its divisors is an integer number (922224345588).

Almost surely, 231212331313130 is an apocalyptic number.

31212331313130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31212331313130 is an abundant number, since it is smaller than the sum of its proper divisors (57321205863318).

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

31212331313130 is a wasteful number, since it uses less digits than its factorization.

31212331313130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430092 (or 1430089 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 31212331313130 its reverse (3131313321213), we get a palindrome (34343644634343).

The spelling of 31212331313130 in words is "thirty-one trillion, two hundred twelve billion, three hundred thirty-one million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 22397 44794 67191 111985 134382 201573 223970 246367 335955 403146 492734 671910 739101 1007865 1231835 1407671 1478202 2015730 2217303 2463670 2815342 3695505 4223013 4434606 7038355 7391010 8446026 11086515 12669039 14076710 15484381 21115065 22173030 25338078 30968762 42230130 46453143 63345195 77421905 92906286 126690390 139359429 154843810 232265715 278718858 464531430 696797145 1393594290 31527607387 63055214774 94582822161 157638036935 189165644322 283748466483 315276073870 346803681257 472914110805 567496932966 693607362514 945828221610 1040411043771 1418742332415 1734018406285 2080822087542 2837484664830 3121233131313 3468036812570 5202055218855 6242466262626 10404110437710 15606165656565 31212331313130