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102013303131210 = 235173114874339243
BaseRepresentation
bin10111001100011111010010…
…101100100000110001001010
3111101012101011111100110120010
4113030133102230200301022
5101332341221100144320
61000544133044012350
730326134515325362
oct2714372254406112
9441171144313503
10102013303131210
112a560665155379
12b536a409910b6
1344bca75805093
141b296823b79a2
15bbd90062aae0
hex5cc7d2b20c4a

102013303131210 has 128 divisors (see below), whose sum is σ = 267776205225984. Its totient is φ = 24760756270080.

The previous prime is 102013303131209. The next prime is 102013303131221. The reversal of 102013303131210 is 12131303310201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21339849 + ... + 25679091.

It is an arithmetic number, because the mean of its divisors is an integer number (2092001603328).

Almost surely, 2102013303131210 is an apocalyptic number.

102013303131210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102013303131210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133888102612992).

102013303131210 is an abundant number, since it is smaller than the sum of its proper divisors (165762902094774).

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

102013303131210 is a wasteful number, since it uses less digits than its factorization.

102013303131210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340788.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 102013303131210 its reverse (12131303310201), we get a palindrome (114144606441411).

The spelling of 102013303131210 in words is "one hundred two trillion, thirteen billion, three hundred three million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 510 527 930 1054 1487 1581 2635 2974 3162 4461 5270 7435 7905 8922 14870 15810 22305 25279 44610 46097 50558 75837 92194 126395 138291 151674 230485 252790 276582 379185 460970 691455 758370 783649 1382910 1567298 2350947 3918245 4339243 4701894 7836490 8678486 11754735 13017729 21696215 23509470 26035458 43392430 65088645 73767131 130177290 134516533 147534262 221301393 269033066 368835655 403549599 442602786 672582665 737671310 807099198 1106506965 1345165330 2017747995 2213013930 2286781061 4035495990 4573562122 6452454341 6860343183 11433905305 12904908682 13720686366 19357363023 22867810610 32262271705 34301715915 38714726046 64524543410 68603431830 96786815115 109691723797 193573630230 200026084571 219383447594 329075171391 400052169142 548458618985 600078253713 658150342782 1000130422855 1096917237970 1200156507426 1645375856955 2000260845710 3000391268565 3290751713910 3400443437707 6000782537130 6800886875414 10201330313121 17002217188535 20402660626242 34004434377070 51006651565605 102013303131210