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102223023104 = 210618319717
BaseRepresentation
bin101111100110011110…
…1111000110000000000
3100202212002122121122202
41133030331320300000
53133323043214404
6114543254052332
710246116234266
oct1371475706000
9322762577582
10102223023104
113a397260284
121798a34a0a8
139841242527
144d3a3b2436
1529d44a321e
hex17ccf78c00

102223023104 has 88 divisors (see below), whose sum is σ = 210209181168. Its totient is φ = 49665392640.

The previous prime is 102223022989. The next prime is 102223023139. The reversal of 102223023104 is 401320322201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5174654 + ... + 5194370.

Almost surely, 2102223023104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102223023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105104590584).

102223023104 is an abundant number, since it is smaller than the sum of its proper divisors (107986158064).

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

102223023104 is an equidigital number, since it uses as much as digits as its factorization.

102223023104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19881 (or 19863 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102223023104 its reverse (401320322201), we get a palindrome (503543345305).

The spelling of 102223023104 in words is "one hundred two billion, two hundred twenty-three million, twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 61 64 83 122 128 166 244 256 332 488 512 664 976 1024 1328 1952 2656 3904 5063 5312 7808 10126 10624 15616 19717 20252 21248 31232 39434 40504 42496 62464 78868 81008 84992 157736 162016 315472 324032 630944 648064 1202737 1261888 1296128 1636511 2405474 2523776 2592256 3273022 4810948 5047552 5184512 6546044 9621896 10095104 13092088 19243792 20190208 26184176 38487584 52368352 76975168 99827171 104736704 153950336 199654342 209473408 307900672 399308684 418946816 615801344 798617368 837893632 1231602688 1597234736 1675787264 3194469472 6388938944 12777877888 25555755776 51111511552 102223023104