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102211222010232 = 233373891326722303
BaseRepresentation
bin10111001111010111100111…
…100101000111100101111000
3111101220022000210122020202210
4113033113213211013211320
5101344112040313311412
61001215104232255120
730346342236125316
oct2717274745074570
9441808023566683
10102211222010232
112a627599202585
12b5692775414a0
13450562791650a
141b35099d250b6
15bc3b3601683c
hex5cf5e7947978

102211222010232 has 128 divisors (see below), whose sum is σ = 263140486502400. Its totient is φ = 33060393451008.

The previous prime is 102211222010213. The next prime is 102211222010243. The reversal of 102211222010232 is 232010222112201.

It is a super-2 number, since 2×1022112220102322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102211222010199 and 102211222010208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4582835193 + ... + 4582857495.

It is an arithmetic number, because the mean of its divisors is an integer number (2055785050800).

Almost surely, 2102211222010232 is an apocalyptic number.

102211222010232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102211222010232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131570243251200).

102211222010232 is an abundant number, since it is smaller than the sum of its proper divisors (160929264492168).

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

102211222010232 is a wasteful number, since it uses less digits than its factorization.

102211222010232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36005 (or 36001 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102211222010232 its reverse (232010222112201), we get a palindrome (334221444122433).

The spelling of 102211222010232 in words is "one hundred two trillion, two hundred eleven billion, two hundred twenty-two million, ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 389 444 778 888 1167 1556 2334 3112 4668 9336 13267 14393 22303 26534 28786 39801 43179 44606 53068 57572 66909 79602 86358 89212 106136 115144 133818 159204 172716 178424 267636 318408 345432 490879 535272 825211 981758 1472637 1650422 1963516 2475633 2945274 3300844 3927032 4951266 5160863 5890548 6601688 8675867 9902532 10321726 11781096 15482589 17351734 19805064 20643452 26027601 30965178 34703468 41286904 52055202 61930356 69406936 104110404 123860712 190951931 208220808 295893901 321007079 381903862 572855793 591787802 642014158 763807724 887681703 963021237 1145711586 1183575604 1284028316 1527615448 1775363406 1926042474 2291423172 2367151208 2568056632 3550726812 3852084948 4582846344 7101453624 7704169896 10948074337 21896148674 32844223011 43792297348 65688446022 87584594696 115102727489 131376892044 230205454978 262753784088 345308182467 460410909956 690616364934 920821819912 1381232729868 2762465459736 4258800917093 8517601834186 12776402751279 17035203668372 25552805502558 34070407336744 51105611005116 102211222010232