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101212000983 = 333748592629
BaseRepresentation
bin101111001000010110…
…1001001001011010111
3100200020122020101001000
41132100231021023113
53124240233012413
6114255100234343
710212061546032
oct1362055111327
9320218211030
10101212000983
1139a18599405
121774783b9b3
13970c9464a2
144c81dd6019
152975846073
hex1790b492d7

101212000983 has 8 divisors (see below), whose sum is σ = 149943705200. Its totient is φ = 67474667304.

The previous prime is 101212000979. The next prime is 101212000987. The reversal of 101212000983 is 389000212101.

It is an interprime number because it is at equal distance from previous prime (101212000979) and next prime (101212000987).

It is not a de Polignac number, because 101212000983 - 22 = 101212000979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3748592629 = 101212000983 / (1 + 0 + 1 + 2 + 1 + 2 + 0 + 0 + 0 + 9 + 8 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212000987) 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, 1874296288 + ... + 1874296341.

It is an arithmetic number, because the mean of its divisors is an integer number (18742963150).

Almost surely, 2101212000983 is an apocalyptic number.

101212000983 is a deficient number, since it is larger than the sum of its proper divisors (48731704217).

101212000983 is an equidigital number, since it uses as much as digits as its factorization.

101212000983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748592638 (or 3748592632 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 101212000983 in words is "one hundred one billion, two hundred twelve million, nine hundred eighty-three", and thus it is an aban number.

Divisors: 1 3 9 27 3748592629 11245777887 33737333661 101212000983