Search a number
-
+
10233132008 = 2311751154841
BaseRepresentation
bin10011000011111000…
…10011001111101000
3222102011102222010012
421201330103033220
5131424140211013
64411231311052
7511405121051
oct114174231750
928364388105
1010233132008
1143813775a0
121b9707b488
13c710a51c8
146d10cb728
153ed5ae1a8
hex261f133e8

10233132008 has 32 divisors (see below), whose sum is σ = 20959413120. Its totient is φ = 4645200000.

The previous prime is 10233131999. The next prime is 10233132037. The reversal of 10233132008 is 80023133201.

10233132008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102331320082 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11333 + ... + 143508.

It is an arithmetic number, because the mean of its divisors is an integer number (654981660).

Almost surely, 210233132008 is an apocalyptic number.

It is an amenable number.

10233132008 is an abundant number, since it is smaller than the sum of its proper divisors (10726281112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10233132008 is a wasteful number, since it uses less digits than its factorization.

10233132008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155609 (or 155605 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10233132008 its reverse (80023133201), we get a palindrome (90256265209).

It can be divided in two parts, 10233 and 132008, that added together give a palindrome (142241).

The spelling of 10233132008 in words is "ten billion, two hundred thirty-three million, one hundred thirty-two thousand, eight".

Divisors: 1 2 4 8 11 22 44 88 751 1502 3004 6008 8261 16522 33044 66088 154841 309682 619364 1238728 1703251 3406502 6813004 13626008 116285591 232571182 465142364 930284728 1279141501 2558283002 5116566004 10233132008