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102132101320 = 2352553302533
BaseRepresentation
bin101111100011110001…
…1000011000011001000
3100202121202120022102021
41133013203003003020
53133131304220240
6114530245214224
710243633352224
oct1370743030310
9322552508367
10102132101320
113a34a9aa407
1217963a01374
139828459b62
144d2c2a5784
1529cb4e354a
hex17c78c30c8

102132101320 has 16 divisors (see below), whose sum is σ = 229797228060. Its totient is φ = 40852840512.

The previous prime is 102132101299. The next prime is 102132101327. The reversal of 102132101320 is 23101231201.

It can be written as a sum of positive squares in 2 ways, for example, as 100472516676 + 1659584644 = 316974^2 + 40738^2 .

It is a super-2 number, since 2×1021321013202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102132101294 and 102132101303.

It is not an unprimeable number, because it can be changed into a prime (102132101327) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1276651227 + ... + 1276651306.

Almost surely, 2102132101320 is an apocalyptic number.

102132101320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102132101320 is an abundant number, since it is smaller than the sum of its proper divisors (127665126740).

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

102132101320 is a wasteful number, since it uses less digits than its factorization.

102132101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553302544 (or 2553302540 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102132101320 its reverse (23101231201), we get a palindrome (125233332521).

The spelling of 102132101320 in words is "one hundred two billion, one hundred thirty-two million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2553302533 5106605066 10213210132 12766512665 20426420264 25533025330 51066050660 102132101320