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102133113112310 = 2573316115746387
BaseRepresentation
bin10111001110001110110111…
…111011010100011011110110
3111101121211102020222010010112
4113032032313323110123312
5101341322103424043220
61001115145431423022
730340605516344000
oct2716166773243366
9441554366863115
10102133113112310
112a5a7456824485
12b5560b8b24a72
1344cb15a51b217
141b313aa3b9370
15bc1ab3a995c5
hex5ce3b7ed46f6

102133113112310 has 128 divisors (see below), whose sum is σ = 224934003302400. Its totient is φ = 33331949884800.

The previous prime is 102133113112301. The next prime is 102133113112421. The reversal of 102133113112310 is 13211311331201.

It is a super-2 number, since 2×1021331131123102 (a number of 29 digits) contains 22 as substring.

It is a congruent 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, 1387064 + ... + 14359323.

It is an arithmetic number, because the mean of its divisors is an integer number (1757296900800).

Almost surely, 2102133113112310 is an apocalyptic number.

102133113112310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102133113112310 is an abundant number, since it is smaller than the sum of its proper divisors (122800890190090).

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

102133113112310 is a wasteful number, since it uses less digits than its factorization.

102133113112310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15746507 (or 15746493 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 102133113112310 its reverse (13211311331201), we get a palindrome (115344424443511).

The spelling of 102133113112310 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred thirteen million, one hundred twelve thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 31 35 49 61 62 70 98 122 155 217 245 305 310 343 427 434 490 610 686 854 1085 1519 1715 1891 2135 2170 2989 3038 3430 3782 4270 5978 7595 9455 10633 13237 14945 15190 18910 20923 21266 26474 29890 41846 53165 66185 92659 104615 106330 132370 185318 209230 463295 648613 926590 1297226 3243065 6486130 15746387 31492774 78731935 110224709 157463870 220449418 488137997 551123545 771572963 960529607 976275994 1102247090 1543145926 1921059214 2440689985 3416965979 3857864815 4802648035 4881379970 5401010741 6723707249 6833931958 7715729630 9605296070 10802021482 13447414498 17084829895 23918761853 27005053705 29776417817 33618536245 34169659790 47065950743 47837523706 54010107410 59552835634 67237072490 94131901486 119593809265 148882089085 167431332971 208434924719 235329753715 239187618530 297764178170 329461655201 334862665942 416869849438 470659507430 658923310402 837156664855 1042174623595 1459044473033 1647308276005 1674313329710 2084349247190 2918088946066 3294616552010 7295222365165 10213311311231 14590444730330 20426622622462 51066556556155 102133113112310