Search a number
-
+
10123400433 = 31072359821
BaseRepresentation
bin10010110110110011…
…01101010011110001
3222010111222000200210
421123121231103301
5131213042303213
64352311334333
7505603324656
oct113331552361
928114860623
1010123400433
114325439643
121b663813a9
13c54435093
146c06c5c2d
153e3b360c3
hex25b66d4f1

10123400433 has 24 divisors (see below), whose sum is σ = 13679789760. Its totient is φ = 6659115040.

The previous prime is 10123400407. The next prime is 10123400447. The reversal of 10123400433 is 33400432101.

It is not a de Polignac number, because 10123400433 - 26 = 10123400369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10123400233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12330163 + ... + 12330983.

It is an arithmetic number, because the mean of its divisors is an integer number (569991240).

Almost surely, 210123400433 is an apocalyptic number.

It is an amenable number.

10123400433 is a deficient number, since it is larger than the sum of its proper divisors (3556389327).

10123400433 is an equidigital number, since it uses as much as digits as its factorization.

10123400433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10123400433 its reverse (33400432101), we get a palindrome (43523832534).

The spelling of 10123400433 in words is "ten billion, one hundred twenty-three million, four hundred thousand, four hundred thirty-three".

Divisors: 1 3 107 321 359 821 1077 2463 11449 34347 38413 87847 115239 263541 294739 884217 4110191 9399629 12330573 28198887 31537073 94611219 3374466811 10123400433