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130023144 = 23341631231
BaseRepresentation
bin1111011111111…
…11111011101000
3100001122212020000
413233333323220
5231241220034
620522503000
73136115136
oct757777350
9301585200
10130023144
1167438349
1237664a60
1320c26194
14133a8756
15b635599
hex7bffee8

130023144 has 80 divisors (see below), whose sum is σ = 366717120. Its totient is φ = 43040160.

The previous prime is 130023139. The next prime is 130023169. The reversal of 130023144 is 441320031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105009 + ... + 106239.

It is an arithmetic number, because the mean of its divisors is an integer number (4583964).

Almost surely, 2130023144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130023144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183358560).

130023144 is an abundant number, since it is smaller than the sum of its proper divisors (236693976).

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

130023144 is a wasteful number, since it uses less digits than its factorization.

130023144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130023144 is about 11402.7691373631. The cubic root of 130023144 is about 506.6097623843.

Adding to 130023144 its reverse (441320031), we get a palindrome (571343175).

The spelling of 130023144 in words is "one hundred thirty million, twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 163 216 324 326 489 648 652 978 1231 1304 1467 1956 2462 2934 3693 3912 4401 4924 5868 7386 8802 9848 11079 11736 13203 14772 17604 22158 26406 29544 33237 35208 44316 52812 66474 88632 99711 105624 132948 199422 200653 265896 398844 401306 601959 797688 802612 1203918 1605224 1805877 2407836 3611754 4815672 5417631 7223508 10835262 14447016 16252893 21670524 32505786 43341048 65011572 130023144