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102210221100 = 223521326207749
BaseRepresentation
bin101111100110000110…
…1000011010000101100
3100202211012120012121110
41133030031003100230
53133311304033400
6114542115432020
710245602354541
oct1371415032054
9322735505543
10102210221100
113a390006a09
1217985bb5610
13983b6ac490
144d387dcbc8
1529d32c4e50
hex17cc34342c

102210221100 has 72 divisors (see below), whose sum is σ = 318476578000. Its totient is φ = 25159438080.

The previous prime is 102210221039. The next prime is 102210221149. The reversal of 102210221100 is 1122012201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13099975 + ... + 13107774.

Almost surely, 2102210221100 is an apocalyptic number.

102210221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210221100 is an abundant number, since it is smaller than the sum of its proper divisors (216266356900).

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

102210221100 is a wasteful number, since it uses less digits than its factorization.

102210221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26207779 (or 26207772 counting only the distinct ones).

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

Adding to 102210221100 its reverse (1122012201), we get a palindrome (103332233301).

The spelling of 102210221100 in words is "one hundred two billion, two hundred ten million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 26207749 52415498 78623247 104830996 131038745 157246494 262077490 314492988 340700737 393116235 524154980 655193725 681401474 786232470 1022102211 1310387450 1362802948 1572464940 1703503685 1965581175 2044204422 2620774900 3407007370 3931162350 4088408844 5110511055 6814014740 7862324700 8517518425 10221022110 17035036850 20442044220 25552555275 34070073700 51105110550 102210221100