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102130203021 = 37114773128861
BaseRepresentation
bin101111100011101101…
…1110011100110001101
3100202121121222212102220
41133013123303212031
53133130312444041
6114530140405553
710243611254640
oct1370733634615
9322547885386
10102130203021
113a349923170
12179632468b9
139827c43ac2
144d2bd2da57
1529cb26ad66
hex17c76f398d

102130203021 has 64 divisors (see below), whose sum is σ = 175763644416. Its totient is φ = 51214118400.

The previous prime is 102130203013. The next prime is 102130203023. The reversal of 102130203021 is 120302031201.

It is not a de Polignac number, because 102130203021 - 23 = 102130203013 is a prime.

It is a super-2 number, since 2×1021302030212 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102130203023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 728131 + ... + 856991.

It is an arithmetic number, because the mean of its divisors is an integer number (2746306944).

Almost surely, 2102130203021 is an apocalyptic number.

102130203021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102130203021 is a deficient number, since it is larger than the sum of its proper divisors (73633441395).

102130203021 is a wasteful number, since it uses less digits than its factorization.

102130203021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129002.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102130203021 its reverse (120302031201), we get a palindrome (222432234222).

The spelling of 102130203021 in words is "one hundred two billion, one hundred thirty million, two hundred three thousand, twenty-one".

Divisors: 1 3 7 11 21 33 47 73 77 141 219 231 329 511 517 803 987 1533 1551 2409 3431 3619 5621 10293 10857 16863 24017 37741 72051 113223 128861 264187 386583 792561 902027 1417471 2706081 4252413 6056467 9406853 9922297 18169401 28220559 29766891 42395269 65847971 66621137 103475383 127185807 197543913 199863411 310426149 442122091 466347959 724327681 1326366273 1399043877 2172983043 3094854637 4863343001 9284563911 14590029003 34043401007 102130203021