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100200222101220 = 223571113932064529
BaseRepresentation
bin10110110010000110101110…
…101001010000111011100100
3111010210001021202112010101020
4112302012232221100323210
5101113140023324214340
6553035202505131140
730051140625003543
oct2662065651207344
9433701252463336
10100200222101220
1129a217481862aa
12b2a3583789ab0
1343baac048a057
141aa5a065ca15a
15b8b6874b69d0
hex5b21aea50ee4

100200222101220 has 96 divisors (see below), whose sum is σ = 284537290302720. Its totient is φ = 26341395333120.

The previous prime is 100200222101179. The next prime is 100200222101233. The reversal of 100200222101220 is 22101222002001.

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 100200222101220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47501916 + ... + 49566444.

It is an arithmetic number, because the mean of its divisors is an integer number (2963930107320).

Almost surely, 2100200222101220 is an apocalyptic number.

100200222101220 is a gapful number since it is divisible by the number (10) 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 100200222101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142268645151360).

100200222101220 is an abundant number, since it is smaller than the sum of its proper divisors (184337068201500).

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

100200222101220 is a wasteful number, since it uses less digits than its factorization.

100200222101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076005 (or 2076003 counting only the distinct ones).

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

Adding to 100200222101220 its reverse (22101222002001), we get a palindrome (122301444103221).

The spelling of 100200222101220 in words is "one hundred trillion, two hundred billion, two hundred twenty-two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 11393 22786 34179 45572 56965 68358 113930 136716 170895 227860 341790 683580 808903 1617806 2064529 2426709 3235612 4044515 4129058 4853418 6193587 8089030 8258116 9706836 10322645 12133545 12387174 16178060 20645290 24267090 24774348 30967935 41290580 48534180 61935870 123871740 146581559 293163118 439744677 586326236 732907795 879489354 1465815590 1758978708 2198723385 2931631180 4397446770 8794893540 23521178897 47042357794 70563536691 94084715588 117605894485 141127073382 235211788970 282254146764 352817683455 470423577940 705635366910 1411270733820 1670003701687 3340007403374 5010011105061 6680014806748 8350018508435 10020022210122 16700037016870 20040044420244 25050055525305 33400074033740 50100111050610 100200222101220