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102121323140 = 2255106066157
BaseRepresentation
bin101111100011011100…
…1111011101010000100
3100202121000021201112102
41133012321323222010
53133121024320030
6114525222211232
710243442632034
oct1370671735204
9322530251472
10102121323140
113a344908621
1217960283b18
139826155035
144d2aa9b8c4
1529ca5b4c45
hex17c6e7ba84

102121323140 has 12 divisors (see below), whose sum is σ = 214454778636. Its totient is φ = 40848529248.

The previous prime is 102121323107. The next prime is 102121323163. The reversal of 102121323140 is 41323121201.

It can be written as a sum of positive squares in 2 ways, for example, as 75217450564 + 26903872576 = 274258^2 + 164024^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5106066157 = 102121323140 / (1 + 0 + 2 + 1 + 2 + 1 + 3 + 2 + 3 + 1 + 4 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2553033059 + ... + 2553033098.

It is an arithmetic number, because the mean of its divisors is an integer number (17871231553).

Almost surely, 2102121323140 is an apocalyptic number.

102121323140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121323140 is an abundant number, since it is smaller than the sum of its proper divisors (112333455496).

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

102121323140 is a wasteful number, since it uses less digits than its factorization.

102121323140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106066166 (or 5106066164 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102121323140 its reverse (41323121201), we get a palindrome (143444444341).

The spelling of 102121323140 in words is "one hundred two billion, one hundred twenty-one million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 5106066157 10212132314 20424264628 25530330785 51060661570 102121323140