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102132210012 = 223710883111721
BaseRepresentation
bin101111100011110001…
…1011101100101011100
3100202121202202211111220
41133013203131211130
53133131321210022
6114530251413340
710243634314140
oct1370743354534
9322552684456
10102132210012
113a34aa74038
1217963a54250
139828497481
144d2c2d3220
1529cb51585c
hex17c78dd95c

102132210012 has 48 divisors (see below), whose sum is σ = 272380023552. Its totient is φ = 29177688960.

The previous prime is 102132210007. The next prime is 102132210017. The reversal of 102132210012 is 210012231201.

It is an interprime number because it is at equal distance from previous prime (102132210007) and next prime (102132210017).

It is a junction number, because it is equal to n+sod(n) for n = 102132209973 and 102132210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132210017) 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, 858312 + ... + 970032.

It is an arithmetic number, because the mean of its divisors is an integer number (5674583824).

Almost surely, 2102132210012 is an apocalyptic number.

102132210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102132210012 is an abundant number, since it is smaller than the sum of its proper divisors (170247813540).

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

102132210012 is a wasteful number, since it uses less digits than its factorization.

102132210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122618 (or 122616 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102132210012 its reverse (210012231201), we get a palindrome (312144441213).

The spelling of 102132210012 in words is "one hundred two billion, one hundred thirty-two million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 10883 21766 32649 43532 65298 76181 111721 130596 152362 223442 228543 304724 335163 446884 457086 670326 782047 914172 1340652 1564094 2346141 3128188 4692282 9384564 1215859643 2431719286 3647578929 4863438572 7295157858 8511017501 14590315716 17022035002 25533052503 34044070004 51066105006 102132210012