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23873340100 = 2252154512
BaseRepresentation
bin10110001110111101…
…100100001011000100
32021121202220022222111
4112032331210023010
5342343033340400
614544532310404
71503414020431
oct261675441304
967552808874
1023873340100
11a140972845
124763172404
132335cacc5c
1412268a8b88
1594ad223ba
hex58ef642c4

23873340100 has 27 divisors (see below), whose sum is σ = 51808501101. Its totient is φ = 9548718000.

The previous prime is 23873340053. The next prime is 23873340163. The reversal of 23873340100 is 104337832.

The square root of 23873340100 is 154510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8594402436 + 15278937664 = 92706^2 + 123608^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 1537375 + ... + 1552825.

Almost surely, 223873340100 is an apocalyptic number.

23873340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23873340100 is the 154510-th square number.

It is an amenable number.

23873340100 is an abundant number, since it is smaller than the sum of its proper divisors (27935161001).

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

23873340100 is an frugal number, since it uses more digits than its factorization.

23873340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30916 (or 15458 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

Adding to 23873340100 its reverse (104337832), we get a palindrome (23977677932).

The spelling of 23873340100 in words is "twenty-three billion, eight hundred seventy-three million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 15451 30902 61804 77255 154510 309020 386275 772550 1545100 238733401 477466802 954933604 1193667005 2387334010 4774668020 5968335025 11936670050 23873340100