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102330101024 = 2547894671637
BaseRepresentation
bin101111101001101011…
…0010110110100100000
3100210010120010201221122
41133103112112310200
53134033001213044
6115002041111412
710251556335644
oct1372326266440
9323116121848
10102330101024
113a441746528
12179ba188568
13985a493848
144d4a6c6c24
1529ddaa4dee
hex17d3596d20

102330101024 has 96 divisors (see below), whose sum is σ = 208633501440. Its totient is φ = 49377568768.

The previous prime is 102330101009. The next prime is 102330101089. The reversal of 102330101024 is 420101033201.

It is a junction number, because it is equal to n+sod(n) for n = 102330100993 and 102330101011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62509934 + ... + 62511570.

It is an arithmetic number, because the mean of its divisors is an integer number (2173265640).

Almost surely, 2102330101024 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 102330101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104316750720).

102330101024 is an abundant number, since it is smaller than the sum of its proper divisors (106303400416).

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

102330101024 is a wasteful number, since it uses less digits than its factorization.

102330101024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102330101024 its reverse (420101033201), we get a palindrome (522431134225).

The spelling of 102330101024 in words is "one hundred two billion, three hundred thirty million, one hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 47 89 94 178 188 356 376 467 712 752 934 1424 1504 1637 1868 2848 3274 3736 4183 6548 7472 8366 13096 14944 16732 21949 26192 33464 41563 43898 52384 66928 76939 83126 87796 133856 145693 153878 166252 175592 291386 307756 332504 351184 582772 615512 665008 702368 764479 1165544 1231024 1330016 1528958 1953461 2331088 2462048 3057916 3906922 4662176 6115832 6847571 7813844 12231664 13695142 15627688 24463328 27390284 31255376 35930513 54780568 62510752 68038631 71861026 109561136 136077262 143722052 219122272 272154524 287444104 544309048 574888208 1088618096 1149776416 2177236192 3197815657 6395631314 12791262628 25582525256 51165050512 102330101024