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10023330132 = 2232278425837
BaseRepresentation
bin10010101010110111…
…11110000101010100
3221212112122221001100
421111123332011110
5131011433031012
64334334430100
7503246620554
oct112533760524
927775587040
1010023330132
1142839aa312
121b38962330
13c3979859a
146b12b7164
153d9e6a8dc
hex2556fe154

10023330132 has 18 divisors (see below), whose sum is σ = 25336751258. Its totient is φ = 3341110032.

The previous prime is 10023330089. The next prime is 10023330137. The reversal of 10023330132 is 23103332001.

10023330132 is a `hidden beast` number, since 100 + 233 + 301 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9384959376 + 638370756 = 96876^2 + 25266^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023330137) 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, 139212883 + ... + 139212954.

Almost surely, 210023330132 is an apocalyptic number.

10023330132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10023330132 is an abundant number, since it is smaller than the sum of its proper divisors (15313421126).

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

10023330132 is a wasteful number, since it uses less digits than its factorization.

10023330132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278425847 (or 278425842 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10023330132 its reverse (23103332001), we get a palindrome (33126662133).

The spelling of 10023330132 in words is "ten billion, twenty-three million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 278425837 556851674 835277511 1113703348 1670555022 2505832533 3341110044 5011665066 10023330132