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130101384 = 23371634751
BaseRepresentation
bin1111100000100…
…11000010001000
3100001210211112210
413300103002020
5231301221014
620524305120
73136562220
oct760230210
9301724483
10130101384
1167491106
12376a21a0
1320c5298a
14133c9080
15b64d859
hex7c13088

130101384 has 64 divisors (see below), whose sum is σ = 374077440. Its totient is φ = 36936000.

The previous prime is 130101371. The next prime is 130101401. The reversal of 130101384 is 483101031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 130101384.

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, 25009 + ... + 29759.

It is an arithmetic number, because the mean of its divisors is an integer number (5844960).

Almost surely, 2130101384 is an apocalyptic number.

130101384 is a gapful number since it is divisible by the number (14) 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 130101384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187038720).

130101384 is an abundant number, since it is smaller than the sum of its proper divisors (243976056).

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

130101384 is a wasteful number, since it uses less digits than its factorization.

130101384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4930 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 130101384 is about 11406.1993670109. The cubic root of 130101384 is about 506.7113576307.

The spelling of 130101384 in words is "one hundred thirty million, one hundred one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 163 168 326 489 652 978 1141 1304 1956 2282 3423 3912 4564 4751 6846 9128 9502 13692 14253 19004 27384 28506 33257 38008 57012 66514 99771 114024 133028 199542 266056 399084 774413 798168 1548826 2323239 3097652 4646478 5420891 6195304 9292956 10841782 16262673 18585912 21683564 32525346 43367128 65050692 130101384