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10233133131 = 3131338119609
BaseRepresentation
bin10011000011111000…
…10011100001001011
3222102011110000122210
421201330103201023
5131424140230011
64411231320203
7511405124244
oct114174234113
928364400583
1010233133131
114381378421
121b97080063
13c710a5880
146d10cbccb
153ed5ae6a6
hex261f1384b

10233133131 has 16 divisors (see below), whose sum is σ = 14695577120. Its totient is φ = 6296520960.

The previous prime is 10233133129. The next prime is 10233133147. The reversal of 10233133131 is 13133133201.

10233133131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10233133131 - 21 = 10233133129 is a prime.

It is a super-2 number, since 2×102331331312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10233133098 and 10233133107.

It is not an unprimeable number, because it can be changed into a prime (10233133171) 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, 512055 + ... + 531663.

It is an arithmetic number, because the mean of its divisors is an integer number (918473570).

Almost surely, 210233133131 is an apocalyptic number.

10233133131 is a deficient number, since it is larger than the sum of its proper divisors (4462443989).

10233133131 is a wasteful number, since it uses less digits than its factorization.

10233133131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33006.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10233133131 its reverse (13133133201), we get a palindrome (23366266332).

The spelling of 10233133131 in words is "ten billion, two hundred thirty-three million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 13 39 13381 19609 40143 58827 173953 254917 521859 764751 262388029 787164087 3411044377 10233133131