Search a number
-
+
10233133031 = 1119371323307
BaseRepresentation
bin10011000011111000…
…10011011111100111
3222102011110000112002
421201330103133213
5131424140224111
64411231315515
7511405124042
oct114174233747
928364400462
1010233133031
114381378340
121b9707bb9b
13c710a5804
146d10cbc59
153ed5ae63b
hex261f137e7

10233133031 has 16 divisors (see below), whose sum is σ = 12068568960. Its totient is φ = 8575022880.

The previous prime is 10233133003. The next prime is 10233133037. The reversal of 10233133031 is 13033133201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10233133031 is a prime.

It is a super-2 number, since 2×102331330312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10233132994 and 10233133012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233133037) 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, 653921 + ... + 669386.

It is an arithmetic number, because the mean of its divisors is an integer number (754285560).

Almost surely, 210233133031 is an apocalyptic number.

10233133031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10233133031 is a deficient number, since it is larger than the sum of its proper divisors (1835435929).

10233133031 is a wasteful number, since it uses less digits than its factorization.

10233133031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323374.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 10233133031 its reverse (13033133201), we get a palindrome (23266266232).

It can be divided in two parts, 102 and 33133031, that added together give a palindrome (33133133).

The spelling of 10233133031 in words is "ten billion, two hundred thirty-three million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 11 19 37 209 407 703 7733 1323307 14556377 25142833 48962359 276571163 538585949 930284821 10233133031