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102441002032 = 24171514635387
BaseRepresentation
bin101111101100111110…
…1011010010000110000
3100210102021211002112101
41133121331122100300
53134244344031112
6115021042110144
710254404102335
oct1373175322060
9323367732471
10102441002032
113a499303056
1217a2b34b354
139877453045
144d5b31498c
1529e86ae757
hex17d9f5a430

102441002032 has 80 divisors (see below), whose sum is σ = 212042714112. Its totient is φ = 47775974400.

The previous prime is 102441002023. The next prime is 102441002039. The reversal of 102441002032 is 230200144201.

It is not an unprimeable number, because it can be changed into a prime (102441002039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19013643 + ... + 19019029.

Almost surely, 2102441002032 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 102441002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106021357056).

102441002032 is an abundant number, since it is smaller than the sum of its proper divisors (109601712080).

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

102441002032 is a wasteful number, since it uses less digits than its factorization.

102441002032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026 (or 6020 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 102441002032 its reverse (230200144201), we get a palindrome (332641146233).

The spelling of 102441002032 in words is "one hundred two billion, four hundred forty-one million, two thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 151 272 302 463 604 926 1208 1852 2416 2567 3704 5134 5387 7408 7871 10268 10774 15742 20536 21548 31484 41072 43096 62968 69913 86192 91579 125936 139826 183158 279652 366316 559304 732632 813437 1118608 1188521 1465264 1626874 2377042 2494181 3253748 4754084 4988362 6507496 9508168 9976724 13014992 13828429 19016336 19953448 27656858 39906896 42401077 55313716 84802154 110627432 169604308 221254864 339208616 376621331 678417232 753242662 1506485324 3012970648 6025941296 6402562627 12805125254 25610250508 51220501016 102441002032