Search a number
-
+
10102131299 = 1319230917713
BaseRepresentation
bin10010110100010001…
…00100101001100011
3222002000221102221002
421122020210221203
5131142121200144
64350231422215
7505224461561
oct113210445143
928060842832
1010102131299
114314431847
121b5b22496b
13c4cbc90b0
146bb94aa31
153e1d3414e
hex25a224a63

10102131299 has 16 divisors (see below), whose sum is σ = 11457415200. Its totient is φ = 8829927936.

The previous prime is 10102131271. The next prime is 10102131313. The reversal of 10102131299 is 99213120101.

It is a cyclic number.

It is not a de Polignac number, because 10102131299 - 28 = 10102131043 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102131209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561467 + ... + 579179.

It is an arithmetic number, because the mean of its divisors is an integer number (716088450).

Almost surely, 210102131299 is an apocalyptic number.

10102131299 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10102131299 is a deficient number, since it is larger than the sum of its proper divisors (1355283901).

10102131299 is a wasteful number, since it uses less digits than its factorization.

10102131299 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20054.

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 10102131299 in words is "ten billion, one hundred two million, one hundred thirty-one thousand, two hundred ninety-nine".

Divisors: 1 13 19 247 2309 17713 30017 43871 230269 336547 570323 4375111 40899317 531691121 777087023 10102131299