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102292080390 = 2345413080159
BaseRepresentation
bin101111101000100010…
…1010100011100000110
3100210000220121002110000
41133101011110130012
53133443233033030
6114554202142130
710250615223423
oct1372105243406
9323026532400
10102292080390
113a422238015
12179a94b1946
139852640c26
144d4562ad4a
1529da594860
hex17d1154706

102292080390 has 80 divisors (see below), whose sum is σ = 281760716160. Its totient is φ = 26612565120.

The previous prime is 102292080329. The next prime is 102292080391. The reversal of 102292080390 is 93080292201.

102292080390 is a `hidden beast` number, since 102 + 2 + 92 + 0 + 80 + 390 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102292080391) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1506870 + ... + 1573289.

It is an arithmetic number, because the mean of its divisors is an integer number (3522008952).

Almost surely, 2102292080390 is an apocalyptic number.

102292080390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102292080390 is an abundant number, since it is smaller than the sum of its proper divisors (179468635770).

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

102292080390 is a wasteful number, since it uses less digits than its factorization.

102292080390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080219 (or 3080210 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 102292080390 in words is "one hundred two billion, two hundred ninety-two million, eighty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 246 270 369 405 410 615 738 810 1107 1230 1845 2214 3321 3690 5535 6642 11070 16605 33210 3080159 6160318 9240477 15400795 18480954 27721431 30801590 46202385 55442862 83164293 92404770 126286519 138607155 166328586 249492879 252573038 277214310 378859557 415821465 498985758 631432595 757719114 831642930 1136578671 1247464395 1262865190 1894297785 2273157342 2494928790 3409736013 3788595570 5682893355 6819472026 10229208039 11365786710 17048680065 20458416078 34097360130 51146040195 102292080390