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102123132021396 = 22327829362339209
BaseRepresentation
bin10111001110000101100101…
…000000011110101010010100
3111101120212122122210011101200
4113032011211000132222110
5101341141133244141041
61001110415202152500
730340103261435403
oct2716054500365224
9441525578704350
10102123132021396
112a5a31a4755112
12b554192352730
1344ca229721775
141b30b0097963a
15bc16cc6c41b6
hex5ce16501ea94

102123132021396 has 36 divisors (see below), whose sum is σ = 258177557301300. Its totient is φ = 34036695842688.

The previous prime is 102123132021329. The next prime is 102123132021397. The reversal of 102123132021396 is 693120231321201.

102123132021396 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 31 + 320 + 213 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64041446708100 + 38081685313296 = 8002590^2 + 6171036^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 102123132021396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102123132021397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180887761 + ... + 181451448.

It is an arithmetic number, because the mean of its divisors is an integer number (7171598813925).

Almost surely, 2102123132021396 is an apocalyptic number.

It is an amenable number.

102123132021396 is an abundant number, since it is smaller than the sum of its proper divisors (156054425279904).

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

102123132021396 is a wasteful number, since it uses less digits than its factorization.

102123132021396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362347048 (or 362347043 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 102123132021396 its reverse (693120231321201), we get a palindrome (795243363342597).

The spelling of 102123132021396 in words is "one hundred two trillion, one hundred twenty-three billion, one hundred thirty-two million, twenty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 7829 15658 23487 31316 46974 70461 93948 140922 281844 362339209 724678418 1087017627 1449356836 2174035254 3261052881 4348070508 6522105762 13044211524 2836753667261 5673507334522 8510261001783 11347014669044 17020522003566 25530783005349 34041044007132 51061566010698 102123132021396