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102010022212200 = 233521131504572599
BaseRepresentation
bin10111001100011100001111…
…001000110011001001101000
3111101012001200211201111210020
4113030130033020303021220
5101332313011141242300
61000542431322320440
730325660306064004
oct2714341710631150
9441161624644706
10102010022212200
112a55a231163363
12b536286059120
1344bc671b73a9b
141b29450767704
15bbd7ac5968a0
hex5cc70f233268

102010022212200 has 96 divisors (see below), whose sum is σ = 319029574104000. Its totient is φ = 26961940956160.

The previous prime is 102010022212123. The next prime is 102010022212247. The reversal of 102010022212200 is 2212220010201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102010022212200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752218500 + ... + 752354099.

It is an arithmetic number, because the mean of its divisors is an integer number (3323224730250).

Almost surely, 2102010022212200 is an apocalyptic number.

102010022212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010022212200 is an abundant number, since it is smaller than the sum of its proper divisors (217019551891800).

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

102010022212200 is a wasteful number, since it uses less digits than its factorization.

102010022212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504572731 (or 1504572722 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102010022212200 its reverse (2212220010201), we get a palindrome (104222242222401).

The spelling of 102010022212200 in words is "one hundred two trillion, ten billion, twenty-two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 113 120 150 200 226 300 339 452 565 600 678 904 1130 1356 1695 2260 2712 2825 3390 4520 5650 6780 8475 11300 13560 16950 22600 33900 67800 1504572599 3009145198 4513717797 6018290396 7522862995 9027435594 12036580792 15045725990 18054871188 22568588985 30091451980 36109742376 37614314975 45137177970 60182903960 75228629950 90274355940 112842944925 150457259900 170016703687 180548711880 225685889850 300914519800 340033407374 451371779700 510050111061 680066814748 850083518435 902743559400 1020100222122 1360133629496 1700167036870 2040200444244 2550250555305 3400334073740 4080400888488 4250417592175 5100501110610 6800668147480 8500835184350 10201002221220 12751252776525 17001670368700 20402004442440 25502505553050 34003340737400 51005011106100 102010022212200