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102442102392 = 23371794098329
BaseRepresentation
bin101111101101000000…
…1100110111001111000
3100210102100212222221110
41133122001212321320
53134300134234032
6115021121440320
710254416334360
oct1373201467170
9323370788843
10102442102392
113a499994843
1217a2b7a00a0
139877749b46
144d5b51d9a0
1529e882a7cc
hex17da066e78

102442102392 has 128 divisors (see below), whose sum is σ = 295081920000. Its totient is φ = 29031008256.

The previous prime is 102442102379. The next prime is 102442102429. The reversal of 102442102392 is 293201244201.

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, 12295284 + ... + 12303612.

It is an arithmetic number, because the mean of its divisors is an integer number (2305327500).

Almost surely, 2102442102392 is an apocalyptic number.

102442102392 is a gapful number since it is divisible by the number (12) 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 102442102392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147540960000).

102442102392 is an abundant number, since it is smaller than the sum of its proper divisors (192639817608).

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

102442102392 is a wasteful number, since it uses less digits than its factorization.

102442102392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8933 (or 8929 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 102442102392 its reverse (293201244201), we get a palindrome (395643346593).

The spelling of 102442102392 in words is "one hundred two billion, four hundred forty-two million, one hundred two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 179 358 409 537 716 818 1074 1227 1253 1432 1636 2148 2454 2506 2863 3272 3759 4296 4908 5012 5726 7518 8329 8589 9816 10024 11452 15036 16658 17178 22904 24987 30072 33316 34356 49974 58303 66632 68712 73211 99948 116606 146422 174909 199896 219633 233212 292844 349818 439266 466424 512477 585688 699636 878532 1024954 1399272 1490891 1537431 1757064 2049908 2981782 3074862 3406561 4099816 4472673 5963564 6149724 6813122 8945346 10219683 10436237 11927128 12299448 13626244 17890692 20439366 20872474 23845927 27252488 31308711 35781384 40878732 41744948 47691854 62617422 71537781 81757464 83489896 95383708 125234844 143075562 190767416 250469688 286151124 572302248 609774419 1219548838 1829323257 2439097676 3658646514 4268420933 4878195352 7317293028 8536841866 12805262799 14634586056 17073683732 25610525598 34147367464 51221051196 102442102392