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102132122002 = 2618322974391
BaseRepresentation
bin101111100011110001…
…1001000000110010010
3100202121202121100210021
41133013203020012102
53133131310401002
6114530245454054
710243633466431
oct1370743100622
9322552540707
10102132122002
113a34aa139a9
1217963a1132a
1398284663b1
144d2c2ad118
1529cb4e9737
hex17c78c8192

102132122002 has 32 divisors (see below), whose sum is σ = 157690157184. Its totient is φ = 49590844800.

The previous prime is 102132121933. The next prime is 102132122003. The reversal of 102132122002 is 200221231201.

It is a happy number.

102132122002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102132122003) 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 15 ways as a sum of consecutive naturals, for example, 23257227 + ... + 23261617.

It is an arithmetic number, because the mean of its divisors is an integer number (4927817412).

Almost surely, 2102132122002 is an apocalyptic number.

102132122002 is a deficient number, since it is larger than the sum of its proper divisors (55558035182).

102132122002 is a wasteful number, since it uses less digits than its factorization.

102132122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6834.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102132122002 its reverse (200221231201), we get a palindrome (302353353203).

The spelling of 102132122002 in words is "one hundred two billion, one hundred thirty-two million, one hundred twenty-two thousand, two".

Divisors: 1 2 61 83 122 166 2297 4391 4594 5063 8782 10126 140117 190651 267851 280234 364453 381302 535702 728906 10086127 11629711 20172254 22231633 23259422 44463266 615253747 837148541 1230507494 1674297082 51066061001 102132122002