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102211220096 = 273721581761
BaseRepresentation
bin101111100110001000…
…0110111001010000000
3100202211021102221222022
41133030100313022000
53133312033020341
6114542153101012
710245614015216
oct1371420671200
9322737387868
10102211220096
113a390629527
12179863b7768
13983b96c0bb
144d389bccb6
1529d3420e4b
hex17cc437280

102211220096 has 32 divisors (see below), whose sum is σ = 209127273780. Its totient is φ = 49724375040.

The previous prime is 102211220039. The next prime is 102211220101. The reversal of 102211220096 is 690022112201.

It can be written as a sum of positive squares in 2 ways, for example, as 95530446400 + 6680773696 = 309080^2 + 81736^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10786145 + ... + 10795616.

Almost surely, 2102211220096 is an apocalyptic number.

102211220096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102211220096 is an abundant number, since it is smaller than the sum of its proper divisors (106916053684).

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

102211220096 is an equidigital number, since it uses as much as digits as its factorization.

102211220096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21581812 (or 21581800 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 102211220096 its reverse (690022112201), we get a palindrome (792233332297).

The spelling of 102211220096 in words is "one hundred two billion, two hundred eleven million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 21581761 43163522 86327044 172654088 345308176 690616352 798525157 1381232704 1597050314 2762465408 3194100628 6388201256 12776402512 25552805024 51105610048 102211220096