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102219956244 = 223272321718013
BaseRepresentation
bin101111100110011001…
…0001100000000010100
3100202211212212210201100
41133030302030000110
53133321302044434
6114543104230100
710246051202100
oct1371462140024
9322755783640
10102219956244
113a39555608a
121798930b330
13984070a613
144d39c14900
1529d4099699
hex17ccc8c014

102219956244 has 108 divisors (see below), whose sum is σ = 300685472724. Its totient is φ = 29195002368.

The previous prime is 102219956239. The next prime is 102219956273. The reversal of 102219956244 is 442659912201.

102219956244 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 19 + 9 + 5 + 624 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93643344144 + 8576612100 = 306012^2 + 92610^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102219956244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5665782 + ... + 5683794.

Almost surely, 2102219956244 is an apocalyptic number.

102219956244 is a gapful number since it is divisible by the number (14) 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 102219956244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150342736362).

102219956244 is an abundant number, since it is smaller than the sum of its proper divisors (198465516480).

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

102219956244 is a wasteful number, since it uses less digits than its factorization.

102219956244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21254 (or 21242 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 102219956244 in words is "one hundred two billion, two hundred nineteen million, nine hundred fifty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 3217 6434 9651 12868 18013 19302 22519 28953 36026 38604 45038 54039 57906 67557 72052 90076 108078 115812 126091 135114 157633 162117 202671 216156 252182 270228 315266 324234 378273 405342 472899 504364 630532 648468 756546 810684 882637 945798 1134819 1418697 1513092 1765274 1891596 2269638 2647911 2837394 3530548 4539276 5295822 5674788 7943733 10591644 15887466 31774932 57947821 115895642 173843463 231791284 347686926 405634747 521530389 695373852 811269494 1043060778 1216904241 1622538988 2086121556 2433808482 2839443229 3650712723 4867616964 5678886458 7301425446 8518329687 11357772916 14602850892 17036659374 25554989061 34073318748 51109978122 102219956244