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102102010192 = 247133110122397
BaseRepresentation
bin101111100010111000…
…0010000100101010000
3100202112122221112011001
41133011300100211100
53133101103311232
6114523252231344
710243116524050
oct1370560204520
9322478845131
10102102010192
113a334a17506
121795590b554
139822152560
144d282b1560
1529c8a4c6e7
hex17c5c10950

102102010192 has 160 divisors (see below), whose sum is σ = 253827753984. Its totient is φ = 38700288000.

The previous prime is 102102010187. The next prime is 102102010207. The reversal of 102102010192 is 291010201201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4547538 + ... + 4569934.

Almost surely, 2102102010192 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 102102010192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126913876992).

102102010192 is an abundant number, since it is smaller than the sum of its proper divisors (151725743792).

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

102102010192 is a wasteful number, since it uses less digits than its factorization.

102102010192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22557 (or 22551 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 102102010192 its reverse (291010201201), we get a palindrome (393112211393).

The spelling of 102102010192 in words is "one hundred two billion, one hundred two million, ten thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 101 104 112 124 182 202 208 217 248 364 403 404 434 496 707 728 806 808 868 1313 1414 1456 1612 1616 1736 2626 2821 2828 3131 3224 3472 5252 5642 5656 6262 6448 9191 10504 11284 11312 12524 18382 21008 21917 22397 22568 25048 36764 40703 43834 44794 45136 50096 73528 81406 87668 89588 147056 156779 162812 175336 179176 284921 291161 313558 325624 350672 358352 569842 582322 627116 651248 694307 1139684 1164644 1254232 1388614 2038127 2262097 2279368 2329288 2508464 2777228 4076254 4524194 4558736 4658576 4860149 5554456 8152508 9025991 9048388 9720298 11108912 15834679 16305016 18051982 18096776 19440596 29407261 31669358 32610032 36103964 36193552 38881192 58814522 63181937 63338716 70125007 72207928 77762384 117629044 126363874 126677432 140250014 144415856 205850827 235258088 252727748 253354864 280500028 411701654 470516176 490875049 505455496 561000056 823403308 911625091 981750098 1010910992 1122000112 1646806616 1823250182 1963500196 3293613232 3646500364 3927000392 6381375637 7293000728 7854000784 12762751274 14586001456 25525502548 51051005096 102102010192