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23100232032 = 2532199403061
BaseRepresentation
bin10101100000111000…
…011001000101100000
32012121220011101002100
4111200320121011200
5334302124411112
614340114050400
71445305506153
oct254070310540
965556141070
1023100232032
11988452a259
124588279a00
132241a84467
141191d3dc9a
1590300d2dc
hex560e19160

23100232032 has 72 divisors (see below), whose sum is σ = 66021555600. Its totient is φ = 7661364480.

The previous prime is 23100232027. The next prime is 23100232037. The reversal of 23100232032 is 23023200132.

It is a happy number.

23100232032 is a `hidden beast` number, since 2 + 310 + 0 + 2 + 320 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (23100232027) and next prime (23100232037).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 23100231996 and 23100232014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23100232037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144219 + ... + 258842.

It is an arithmetic number, because the mean of its divisors is an integer number (916966050).

Almost surely, 223100232032 is an apocalyptic number.

It is an amenable number.

23100232032 is an abundant number, since it is smaller than the sum of its proper divisors (42921323568).

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

23100232032 is a wasteful number, since it uses less digits than its factorization.

23100232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403276 (or 403265 counting only the distinct ones).

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

Adding to 23100232032 its reverse (23023200132), we get a palindrome (46123432164).

The spelling of 23100232032 in words is "twenty-three billion, one hundred million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 199 288 398 597 796 1194 1592 1791 2388 3184 3582 4776 6368 7164 9552 14328 19104 28656 57312 403061 806122 1209183 1612244 2418366 3224488 3627549 4836732 6448976 7255098 9673464 12897952 14510196 19346928 29020392 38693856 58040784 80209139 116081568 160418278 240627417 320836556 481254834 641673112 721882251 962509668 1283346224 1443764502 1925019336 2566692448 2887529004 3850038672 5775058008 7700077344 11550116016 23100232032