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130114032 = 2437173523
BaseRepresentation
bin1111100000101…
…10000111110000
3100001211110220020
413300112013300
5231302122112
620524443440
73136644126
oct760260760
9301743806
10130114032
116749a664
12376a9580
1320c58669
14133cd916
15b65248c
hex7c161f0

130114032 has 80 divisors (see below), whose sum is σ = 346192128. Its totient is φ = 42094080.

The previous prime is 130114021. The next prime is 130114051. The reversal of 130114032 is 230411031.

It is a super-2 number, since 2×1301140322 = 33859322646594048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248523 + ... + 249045.

Almost surely, 2130114032 is an apocalyptic number.

130114032 is a gapful number since it is divisible by the number (12) 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 130114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173096064).

130114032 is an abundant number, since it is smaller than the sum of its proper divisors (216078096).

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

130114032 is a wasteful number, since it uses less digits than its factorization.

130114032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 130114032 is about 11406.7537888744. The cubic root of 130114032 is about 506.7277773319.

Adding to 130114032 its reverse (230411031), we get a palindrome (360525063).

The spelling of 130114032 in words is "one hundred thirty million, one hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 73 142 146 213 219 284 292 426 438 523 568 584 852 876 1046 1136 1168 1569 1704 1752 2092 3138 3408 3504 4184 5183 6276 8368 10366 12552 15549 20732 25104 31098 37133 38179 41464 62196 74266 76358 82928 111399 114537 124392 148532 152716 222798 229074 248784 297064 305432 445596 458148 594128 610864 891192 916296 1782384 1832592 2710709 5421418 8132127 10842836 16264254 21685672 32528508 43371344 65057016 130114032