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10233202131 = 3229103380657
BaseRepresentation
bin10011000011111001…
…00100010111010011
3222102011120112022100
421201330210113103
5131424144432011
64411233011443
7511405532355
oct114174442723
928364515270
1010233202131
114381415249
121b970b3b83
13c710cb0b9
146d11090d5
153ed5c4d56
hex261f245d3

10233202131 has 24 divisors (see below), whose sum is σ = 15439488480. Its totient is φ = 6522921216.

The previous prime is 10233202127. The next prime is 10233202171. The reversal of 10233202131 is 13120233201.

10233202131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10233202131 - 22 = 10233202127 is a prime.

It is a super-2 number, since 2×102332021312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10233202171) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 163446 + ... + 217211.

It is an arithmetic number, because the mean of its divisors is an integer number (643312020).

Almost surely, 210233202131 is an apocalyptic number.

10233202131 is a deficient number, since it is larger than the sum of its proper divisors (5206286349).

10233202131 is a wasteful number, since it uses less digits than its factorization.

10233202131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380795 (or 380792 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10233202131 its reverse (13120233201), we get a palindrome (23353435332).

The spelling of 10233202131 in words is "ten billion, two hundred thirty-three million, two hundred two thousand, one hundred thirty-one".

Divisors: 1 3 9 29 87 103 261 309 927 2987 8961 26883 380657 1141971 3425913 11039053 33117159 39207671 99351477 117623013 352869039 1137022459 3411067377 10233202131