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10133202312 = 2332140738921
BaseRepresentation
bin10010110111111110…
…00110010110001000
3222011012102000100100
421123333012112020
5131223044433222
64353301405400
7506052540612
oct113377062610
928135360310
1010133202312
11432aa23972
121b69709860
13c564876cc
146c1b17db2
153e49204ac
hex25bfc6588

10133202312 has 24 divisors (see below), whose sum is σ = 27444089790. Its totient is φ = 3377734080.

The previous prime is 10133202311. The next prime is 10133202377. The reversal of 10133202312 is 21320233101.

10133202312 is a `hidden beast` number, since 101 + 332 + 0 + 231 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5752615716 + 4380586596 = 75846^2 + 66186^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10133202311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70369389 + ... + 70369532.

Almost surely, 210133202312 is an apocalyptic number.

10133202312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10133202312 is an abundant number, since it is smaller than the sum of its proper divisors (17310887478).

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

10133202312 is a wasteful number, since it uses less digits than its factorization.

10133202312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140738933 (or 140738926 counting only the distinct ones).

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

Adding to 10133202312 its reverse (21320233101), we get a palindrome (31453435413).

The spelling of 10133202312 in words is "ten billion, one hundred thirty-three million, two hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 140738921 281477842 422216763 562955684 844433526 1125911368 1266650289 1688867052 2533300578 3377734104 5066601156 10133202312