Search a number
-
+
10400131022133 = 39782143531403
BaseRepresentation
bin1001011101010111100000…
…0111010111110100110101
31100211020120000100020101210
42113111320013113310311
52330343432020202013
634041430525312033
72122245641044116
oct227257007276465
940736500306353
1010400131022133
11334a741916276
1211bb746a05619
135a596097c648
1427d52487a20d
151307e80bccc3
hex975781d7d35

10400131022133 has 16 divisors (see below), whose sum is σ = 14026863122496. Its totient is φ = 6853583930880.

The previous prime is 10400131022119. The next prime is 10400131022153. The reversal of 10400131022133 is 33122013100401.

It is not a de Polignac number, because 10400131022133 - 28 = 10400131021877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400131022153) 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, 21526791 + ... + 22004612.

It is an arithmetic number, because the mean of its divisors is an integer number (876678945156).

Almost surely, 210400131022133 is an apocalyptic number.

It is an amenable number.

10400131022133 is a deficient number, since it is larger than the sum of its proper divisors (3626732100363).

10400131022133 is an equidigital number, since it uses as much as digits as its factorization.

10400131022133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43532324.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10400131022133 its reverse (33122013100401), we get a palindrome (43522144122534).

The spelling of 10400131022133 in words is "ten trillion, four hundred billion, one hundred thirty-one million, twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 97 291 821 2463 79637 238911 43531403 130594209 4222546091 12667638273 35739281863 107217845589 3466710340711 10400131022133