Search a number
-
+
102123302112130 = 25136173127258037
BaseRepresentation
bin10111001110000101101111…
…001001010100101110000010
3111101120220002111211200000111
4113032011233021110232002
5101341142010320042010
61001110444115541534
730340110425252635
oct2716055711245602
9441526074750014
10102123302112130
112a5a3281769872
12b55421b2ba8aa
1344ca255a36180
141b30b193b3c1c
15bc16dc5c158a
hex5ce16f254b82

102123302112130 has 32 divisors (see below), whose sum is σ = 197994163906224. Its totient is φ = 37700956713216.

The previous prime is 102123302112113. The next prime is 102123302112133. The reversal of 102123302112130 is 31211203321201.

It can be written as a sum of positive squares in 8 ways, for example, as 11366870647441 + 90756431464689 = 3371479^2 + 9526617^2 .

It is not an unprimeable number, because it can be changed into a prime (102123302112133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62826529 + ... + 64431508.

Almost surely, 2102123302112130 is an apocalyptic number.

102123302112130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102123302112130 is a deficient number, since it is larger than the sum of its proper divisors (95870861794094).

102123302112130 is a wasteful number, since it uses less digits than its factorization.

102123302112130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127264230.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 102123302112130 its reverse (31211203321201), we get a palindrome (133334505433331).

The spelling of 102123302112130 in words is "one hundred two trillion, one hundred twenty-three billion, three hundred two million, one hundred twelve thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 65 130 6173 12346 30865 61730 80249 160498 401245 802490 127258037 254516074 636290185 1272580370 1654354481 3308708962 8271772405 16543544810 785563862401 1571127724802 3927819312005 7855638624010 10212330211213 20424660422426 51061651056065 102123302112130