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102120331321 = 1750091199257
BaseRepresentation
bin101111100011011011…
…0001001100000111001
3100202120221102100000101
41133012312021200321
53133120301100241
6114525145035401
710243431331321
oct1370666114071
9322527370011
10102120331321
113a3442a0438
121795ba85b61
139825b98768
144d2a8c0281
1529ca46ae31
hex17c6d89839

102120331321 has 8 divisors (see below), whose sum is σ = 108149086440. Its totient is φ = 96093984768.

The previous prime is 102120331309. The next prime is 102120331331. The reversal of 102120331321 is 123133021201.

It can be written as a sum of positive squares in 4 ways, for example, as 27815568400 + 74304762921 = 166780^2 + 272589^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102120331321 is a prime.

It is a super-2 number, since 2×1021203313212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102120331331) 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 7 ways as a sum of consecutive naturals, for example, 514476 + ... + 684781.

It is an arithmetic number, because the mean of its divisors is an integer number (13518635805).

Almost surely, 2102120331321 is an apocalyptic number.

It is an amenable number.

102120331321 is a deficient number, since it is larger than the sum of its proper divisors (6028755119).

102120331321 is a wasteful number, since it uses less digits than its factorization.

102120331321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204283.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102120331321 its reverse (123133021201), we get a palindrome (225253352522).

The spelling of 102120331321 in words is "one hundred two billion, one hundred twenty million, three hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 17 5009 85153 1199257 20387369 6007078313 102120331321