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102132200301131 = 71113102030170131
BaseRepresentation
bin10111001110001110000001…
…100001001110001001001011
3111101121202001122100111121002
4113032032001201032021023
5101341313221234114011
61001114515103005215
730340544063516630
oct2716160141161113
9441552048314532
10102132200301131
112a5a7028541980
12b555aa329980b
1344cb04338a570
141b31321086187
15bc1a5d88bc3b
hex5ce38184e24b

102132200301131 has 16 divisors (see below), whose sum is σ = 137128548657408. Its totient is φ = 73461722493600.

The previous prime is 102132200301127. The next prime is 102132200301163. The reversal of 102132200301131 is 131103002231201.

It is a happy number.

It is not a de Polignac number, because 102132200301131 - 22 = 102132200301127 is a prime.

It is a super-2 number, since 2×1021322003011312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102132200301101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51015084065 + ... + 51015086066.

It is an arithmetic number, because the mean of its divisors is an integer number (8570534291088).

Almost surely, 2102132200301131 is an apocalyptic number.

102132200301131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102132200301131 is a deficient number, since it is larger than the sum of its proper divisors (34996348356277).

102132200301131 is a wasteful number, since it uses less digits than its factorization.

102132200301131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102030170162.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102132200301131 its reverse (131103002231201), we get a palindrome (233235202532332).

The spelling of 102132200301131 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred million, three hundred one thousand, one hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 1001 102030170131 714211190917 1122331871441 1326392211703 7856323100087 9284745481921 14590314328733 102132200301131