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102151655450 = 25213977612129
BaseRepresentation
bin101111100100010110…
…1101001000000011010
3100202200010100202122022
41133020231221000122
53133201310433300
6114532224254442
710244261513315
oct1371055510032
9322603322568
10102151655450
113a35aa45749
121796a471422
13982c515350
144d30b1597c
1529cd0a7285
hex17c8b6901a

102151655450 has 96 divisors (see below), whose sum is σ = 207095963760. Its totient is φ = 37262131200.

The previous prime is 102151655449. The next prime is 102151655479. The reversal of 102151655450 is 54556151201.

It can be written as a sum of positive squares in 24 ways, for example, as 58559644081 + 43592011369 = 241991^2 + 208787^2 .

It is a super-2 number, since 2×1021516554502 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102151655450.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47979986 + ... + 47982114.

Almost surely, 2102151655450 is an apocalyptic number.

102151655450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102151655450 is an abundant number, since it is smaller than the sum of its proper divisors (104944308310).

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

102151655450 is a wasteful number, since it uses less digits than its factorization.

102151655450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 35.

The spelling of 102151655450 in words is "one hundred two billion, one hundred fifty-one million, six hundred fifty-five thousand, four hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 97 130 194 325 485 650 761 970 1261 1522 2129 2425 2522 3805 4258 4850 6305 7610 9893 10645 12610 19025 19786 21290 27677 31525 38050 49465 53225 55354 63050 73817 98930 106450 138385 147634 206513 247325 276770 369085 413026 494650 691925 738170 959621 1032565 1383850 1620169 1845425 1919242 2065130 2684669 3240338 3690850 4798105 5162825 5369338 8100845 9596210 10325650 13423345 16201690 21062197 23990525 26846690 40504225 42124394 47981050 67116725 81008450 105310985 134233450 157156393 210621970 314312786 526554925 785781965 1053109850 1571563930 2043033109 3928909825 4086066218 7857819650 10215165545 20430331090 51075827725 102151655450