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20232300132 = 22321124644697
BaseRepresentation
bin10010110101111100…
…000110011001100100
31221020000122100010100
4102311330012121210
5312413432101012
613143344224100
71314242466522
oct226574063144
957200570110
1020232300132
118642673600
123b0790b030
131ba5860b35
14d9d0b5312
157d63558dc
hex4b5f06664

20232300132 has 54 divisors (see below), whose sum is σ = 56214779894. Its totient is φ = 6130998720.

The previous prime is 20232300113. The next prime is 20232300161. The reversal of 20232300132 is 23100323202.

It is a happy number.

20232300132 is a `hidden beast` number, since 2 + 0 + 232 + 300 + 132 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20023382016 + 208918116 = 141504^2 + 14454^2 .

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2317993 + ... + 2326704.

Almost surely, 220232300132 is an apocalyptic number.

20232300132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20232300132 is an abundant number, since it is smaller than the sum of its proper divisors (35982479762).

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

20232300132 is a wasteful number, since it uses less digits than its factorization.

20232300132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644729 (or 4644713 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20232300132 its reverse (23100323202), we get a palindrome (43332623334).

The spelling of 20232300132 in words is "twenty billion, two hundred thirty-two million, three hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 4644697 9289394 13934091 18578788 27868182 41802273 51091667 55736364 83604546 102183334 153275001 167209092 204366668 306550002 459825003 562008337 613100004 919650006 1124016674 1686025011 1839300012 2248033348 3372050022 5058075033 6744100044 10116150066 20232300132