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23432134300 = 22523123332441
BaseRepresentation
bin10101110100101010…
…011111111010011100
32020111000200202101221
4111310222133322130
5340442111244200
614433051543124
71456445566231
oct256452377234
966430622357
1023432134300
119a34913353
12465b45aaa4
132295772033
1411c4059788
1592221e91a
hex574a9fe9c

23432134300 has 72 divisors (see below), whose sum is σ = 52714876032. Its totient is φ = 9031296000.

The previous prime is 23432134283. The next prime is 23432134301. The reversal of 23432134300 is 343123432.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23432134301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 706080 + ... + 738520.

It is an arithmetic number, because the mean of its divisors is an integer number (732151056).

Almost surely, 223432134300 is an apocalyptic number.

23432134300 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 23432134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26357438016).

23432134300 is an abundant number, since it is smaller than the sum of its proper divisors (29282741732).

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

23432134300 is a wasteful number, since it uses less digits than its factorization.

23432134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32719 (or 32712 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 23432134300 its reverse (343123432), we get a palindrome (23775257732).

The spelling of 23432134300 in words is "twenty-three billion, four hundred thirty-two million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 233 310 466 620 775 932 1165 1550 2330 3100 4660 5825 7223 11650 14446 23300 28892 32441 36115 64882 72230 129764 144460 162205 180575 324410 361150 648820 722300 811025 1005671 1622050 2011342 3244100 4022684 5028355 7558753 10056710 15117506 20113420 25141775 30235012 37793765 50283550 75587530 100567100 151175060 188968825 234321343 377937650 468642686 755875300 937285372 1171606715 2343213430 4686426860 5858033575 11716067150 23432134300