Search a number
-
+
10132131000310 = 2511372724714323
BaseRepresentation
bin1001001101110001001000…
…0100011010111111110110
31022212121210122000112022121
42103130102010122333312
52312001101014002220
633314345310550154
72064010436331454
oct223342204327766
938777718015277
1010132131000310
113257015895230
12117781220835a
135865c0683287
1427057d6339d4
1512885ede3eaa
hex9371211aff6

10132131000310 has 32 divisors (see below), whose sum is σ = 19901159972352. Its totient is φ = 3683422550880.

The previous prime is 10132131000289. The next prime is 10132131000389. The reversal of 10132131000310 is 1300013123101.

It is a super-2 number, since 2×101321310003102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 11947192 + ... + 12767131.

It is an arithmetic number, because the mean of its divisors is an integer number (621911249136).

Almost surely, 210132131000310 is an apocalyptic number.

10132131000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10132131000310 is a deficient number, since it is larger than the sum of its proper divisors (9769028972042).

10132131000310 is a wasteful number, since it uses less digits than its factorization.

10132131000310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24718068.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10132131000310 its reverse (1300013123101), we get a palindrome (11432144123411).

The spelling of 10132131000310 in words is "ten trillion, one hundred thirty-two billion, one hundred thirty-one million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 5 10 11 22 55 110 3727 7454 18635 37270 40997 81994 204985 409970 24714323 49428646 123571615 247143230 271857553 543715106 1359287765 2718575530 92110281821 184220563642 460551409105 921102818210 1013213100031 2026426200062 5066065500155 10132131000310