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23400013300 = 22527910129327
BaseRepresentation
bin10101110010101111…
…111101110111110100
32020101210020211200021
4111302233331313310
5340410400411200
614425543254524
71455605555056
oct256257756764
966353224607
1023400013300
119a18774374
12465074a444
13228bc06821
1411bda978d6
1591e4c741a
hex572bfddf4

23400013300 has 72 divisors (see below), whose sum is σ = 51931676160. Its totient is φ = 9149712000.

The previous prime is 23400013297. The next prime is 23400013313. The reversal of 23400013300 is 331000432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783237 + ... + 812563.

It is an arithmetic number, because the mean of its divisors is an integer number (721273280).

Almost surely, 223400013300 is an apocalyptic number.

23400013300 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 23400013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25965838080).

23400013300 is an abundant number, since it is smaller than the sum of its proper divisors (28531662860).

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

23400013300 is a wasteful number, since it uses less digits than its factorization.

23400013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29521 (or 29514 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23400013300 its reverse (331000432), we get a palindrome (23731013732).

The spelling of 23400013300 in words is "twenty-three billion, four hundred million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 101 158 202 316 395 404 505 790 1010 1580 1975 2020 2525 3950 5050 7900 7979 10100 15958 29327 31916 39895 58654 79790 117308 146635 159580 199475 293270 398950 586540 733175 797900 1466350 2316833 2932700 2962027 4633666 5924054 9267332 11584165 11848108 14810135 23168330 29620270 46336660 57920825 59240540 74050675 115841650 148101350 231683300 234000133 296202700 468000266 936000532 1170000665 2340001330 4680002660 5850003325 11700006650 23400013300