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102220111200 = 2535242591713
BaseRepresentation
bin101111100110011001…
…0110001110101100000
3100202211220011200021110
41133030302301311200
53133321322024300
6114543111423320
710246052415624
oct1371462616540
9322756150243
10102220111200
113a395651549
1217989384b40
139840762ccc
144d39c55184
1529d40ca550
hex17cccb1d60

102220111200 has 72 divisors (see below), whose sum is σ = 332726469768. Its totient is φ = 27258695680.

The previous prime is 102220111187. The next prime is 102220111211. The reversal of 102220111200 is 2111022201.

It is a super-2 number, since 2×1022201112002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21293457 + ... + 21298256.

It is an arithmetic number, because the mean of its divisors is an integer number (4621200969).

Almost surely, 2102220111200 is an apocalyptic number.

102220111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220111200 is an abundant number, since it is smaller than the sum of its proper divisors (230506358568).

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

102220111200 is a wasteful number, since it uses less digits than its factorization.

102220111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42591736 (or 42591723 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102220111200 its reverse (2111022201), we get a palindrome (104331133401).

The spelling of 102220111200 in words is "one hundred two billion, two hundred twenty million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 42591713 85183426 127775139 170366852 212958565 255550278 340733704 425917130 511100556 638875695 681467408 851834260 1022201112 1064792825 1277751390 1362934816 1703668520 2044402224 2129585650 2555502780 3194378475 3407337040 4088804448 4259171300 5111005560 6388756950 6814674080 8518342600 10222011120 12777513900 17036685200 20444022240 25555027800 34073370400 51110055600 102220111200