Search a number
-
+
102331122121323 = 3437223153114433
BaseRepresentation
bin10111010001000111010010…
…001011101111101001101011
3111102022202111211211222110000
4113101013102023233221223
5101403043114230340243
61001350133555554043
730361115413220364
oct2721072213575153
9442282454758400
10102331122121323
112a673426741687
12b5885598bb923
134513a251c8804
141b3abd1ca8b6b
15bc6d0233a5d3
hex5d11d22efa6b

102331122121323 has 40 divisors (see below), whose sum is σ = 157700517527168. Its totient is φ = 66079289189376.

The previous prime is 102331122121321. The next prime is 102331122121343. The reversal of 102331122121323 is 323121221133201.

102331122121323 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 311 + 2 + 2 + 1 + 21 + 323 = 666.

It is not a de Polignac number, because 102331122121323 - 21 = 102331122121321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102331122121321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75888886 + ... + 77225547.

Almost surely, 2102331122121323 is an apocalyptic number.

102331122121323 is a deficient number, since it is larger than the sum of its proper divisors (55369395405845).

102331122121323 is a wasteful number, since it uses less digits than its factorization.

102331122121323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153114705 (or 153114696 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 102331122121323 its reverse (323121221133201), we get a palindrome (425452343254524).

The spelling of 102331122121323 in words is "one hundred two trillion, three hundred thirty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, three hundred twenty-three".

Divisors: 1 3 9 27 37 81 111 223 333 669 999 2007 2997 6021 8251 18063 24753 74259 222777 668331 153114433 459343299 1378029897 4134089691 5665234021 12402269073 16995702063 34144518559 50987106189 102433555677 152961318567 307300667031 458883955701 921902001093 1263347186683 2765706003279 3790041560049 11370124680147 34110374040441 102331122121323