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23141131400 = 2352731585009
BaseRepresentation
bin10101100011010100…
…011010010010001000
32012201202010021110202
4111203110122102020
5334343112201100
614344134431332
71446313241252
oct254324322210
965652107422
1023141131400
1198a5624592
124599b02548
13224a3a447a
141197548cd2
159068db7d5
hex56351a488

23141131400 has 48 divisors (see below), whose sum is σ = 54540194100. Its totient is φ = 9129646080.

The previous prime is 23141131397. The next prime is 23141131411. The reversal of 23141131400 is 413114132.

It can be written as a sum of positive squares in 6 ways, for example, as 5921918116 + 17219213284 = 76954^2 + 131222^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 777905 + ... + 807104.

Almost surely, 223141131400 is an apocalyptic number.

23141131400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23141131400 is an abundant number, since it is smaller than the sum of its proper divisors (31399062700).

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

23141131400 is a wasteful number, since it uses less digits than its factorization.

23141131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585098 (or 1585089 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 23141131400 its reverse (413114132), we get a palindrome (23554245532).

The spelling of 23141131400 in words is "twenty-three billion, one hundred forty-one million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 7300 14600 1585009 3170018 6340036 7925045 12680072 15850090 31700180 39625225 63400360 79250450 115705657 158500900 231411314 317001800 462822628 578528285 925645256 1157056570 2314113140 2892641425 4628226280 5785282850 11570565700 23141131400