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23103736320 = 293573671171
BaseRepresentation
bin10101100001000101…
…110000101000000000
32012122010202102001210
4111201011300220000
5334304024030240
614340321130120
71445350342560
oct254105605000
965563672053
1023103736320
119886503065
124589489940
1322427104c2
1411925b2da0
159034a1780
hex561170a00

23103736320 has 320 divisors, whose sum is σ = 84713435136. Its totient is φ = 5261967360.

The previous prime is 23103736289. The next prime is 23103736343. The reversal of 23103736320 is 2363730132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×231037363203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19729335 + ... + 19730505.

Almost surely, 223103736320 is an apocalyptic number.

23103736320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23103736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42356717568).

23103736320 is an abundant number, since it is smaller than the sum of its proper divisors (61609698816).

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

23103736320 is a wasteful number, since it uses less digits than its factorization.

23103736320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 30.

The spelling of 23103736320 in words is "twenty-three billion, one hundred three million, seven hundred thirty-six thousand, three hundred twenty".