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23144131000 = 235341564491
BaseRepresentation
bin10101100011011111…
…110110100110111000
32012201221202200011001
4111203133312212320
5334344344143000
614344323014344
71446350603404
oct254337664670
965657680131
1023144131000
1198a72931a1
12459ab0a3b4
13224abb4893
141197aca104
15906cd046a
hex5637f69b8

23144131000 has 64 divisors (see below), whose sum is σ = 55478273760. Its totient is φ = 9031840000.

The previous prime is 23144130991. The next prime is 23144131019. The reversal of 23144131000 is 13144132.

It is a super-2 number, since 2×231441310002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241246 + ... + 323245.

Almost surely, 223144131000 is an apocalyptic number.

23144131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23144131000 is an abundant number, since it is smaller than the sum of its proper divisors (32334142760).

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

23144131000 is a wasteful number, since it uses less digits than its factorization.

23144131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564553 (or 564539 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 23144131000 its reverse (13144132), we get a palindrome (23157275132).

It can be divided in two parts, 2314 and 4131000, that added together give a palindrome (4133314).

The spelling of 23144131000 in words is "twenty-three billion, one hundred forty-four million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 2050 4100 5125 8200 10250 20500 41000 564491 1128982 2257964 2822455 4515928 5644910 11289820 14112275 22579640 23144131 28224550 46288262 56449100 70561375 92576524 112898200 115720655 141122750 185153048 231441310 282245500 462882620 564491000 578603275 925765240 1157206550 2314413100 2893016375 4628826200 5786032750 11572065500 23144131000