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102012100002 = 2342412612881
BaseRepresentation
bin101111100000001100…
…1010001110110100010
3100202022101202121120000
41133000121101312202
53132410044200002
6114510321200430
710240645354161
oct1370031216642
9322271677500
10102012100002
113a29919766a
121792b790116
139809632467
144d1a3893d8
1529c0bdc61c
hex17c0651da2

102012100002 has 40 divisors (see below), whose sum is σ = 229531232172. Its totient is φ = 33862924800.

The previous prime is 102012099953. The next prime is 102012100027. The reversal of 102012100002 is 200001210201.

It can be written as a sum of positive squares in 2 ways, for example, as 98201383641 + 3810716361 = 313371^2 + 61731^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 19 ways as a sum of consecutive naturals, for example, 1267399 + ... + 1345482.

Almost surely, 2102012100002 is an apocalyptic number.

102012100002 is an abundant number, since it is smaller than the sum of its proper divisors (127519132170).

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

102012100002 is a wasteful number, since it uses less digits than its factorization.

102012100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613136 (or 2613127 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102012100002 its reverse (200001210201), we get a palindrome (302013310203).

The spelling of 102012100002 in words is "one hundred two billion, twelve million, one hundred thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 241 482 723 1446 2169 4338 6507 13014 19521 39042 2612881 5225762 7838643 15677286 23515929 47031858 70547787 141095574 211643361 423286722 629704321 1259408642 1889112963 3778225926 5667338889 11334677778 17002016667 34004033334 51006050001 102012100002