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102066145308 = 22342910862723
BaseRepresentation
bin101111100001110011…
…1011100100000011100
3100202110011110101210000
41133003213130200130
53133012413122213
6114515531414300
710242202630521
oct1370347344034
9322404411700
10102066145308
113a316750706
12179458b4390
1398178a5c2a
144d23617148
1529c5815c73
hex17c39dc81c

102066145308 has 60 divisors (see below), whose sum is σ = 276021816840. Its totient is φ = 32848871328.

The previous prime is 102066145297. The next prime is 102066145309. The reversal of 102066145308 is 803541660201.

It is a happy number.

102066145308 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 614 + 5 + 30 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102066145309) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 5421966 + ... + 5440757.

It is an arithmetic number, because the mean of its divisors is an integer number (4600363614).

Almost surely, 2102066145308 is an apocalyptic number.

102066145308 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102066145308 is an abundant number, since it is smaller than the sum of its proper divisors (173955671532).

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

102066145308 is a wasteful number, since it uses less digits than its factorization.

102066145308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10862768 (or 10862757 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 102066145308 in words is "one hundred two billion, sixty-six million, one hundred forty-five thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 10862723 21725446 32588169 43450892 65176338 97764507 130352676 195529014 293293521 315018967 391058028 586587042 630037934 879880563 945056901 1173174084 1260075868 1759761126 1890113802 2835170703 3519522252 3780227604 5670341406 8505512109 11340682812 17011024218 25516536327 34022048436 51033072654 102066145308