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130000332 = 2237211101199
BaseRepresentation
bin1111011111110…
…10010111001100
3100001121200221010
413233322113030
5231240002312
620522205220
73135661500
oct757722714
9301550833
10130000332
11674221a0
1237653810
1320c18997
14133a0300
15b62d93c
hex7bfa5cc

130000332 has 144 divisors (see below), whose sum is σ = 390700800. Its totient is φ = 33264000.

The previous prime is 130000229. The next prime is 130000349. The reversal of 130000332 is 233000031.

It is a happy number.

It is a super-2 number, since 2×1300003322 = 33800172640220448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 653169 + ... + 653367.

It is an arithmetic number, because the mean of its divisors is an integer number (2713200).

Almost surely, 2130000332 is an apocalyptic number.

130000332 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 130000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

130000332 is an abundant number, since it is smaller than the sum of its proper divisors (260700468).

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

130000332 is a wasteful number, since it uses less digits than its factorization.

130000332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 130000332 is about 11401.7688101452. The cubic root of 130000332 is about 506.5801331519.

Adding to 130000332 its reverse (233000031), we get a palindrome (363000363).

The spelling of 130000332 in words is "one hundred thirty million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 101 132 147 154 196 199 202 231 294 303 308 398 404 462 539 588 597 606 707 796 924 1078 1111 1194 1212 1393 1414 1617 2121 2156 2189 2222 2388 2786 2828 3234 3333 4179 4242 4378 4444 4949 5572 6468 6567 6666 7777 8358 8484 8756 9751 9898 13134 13332 14847 15323 15554 16716 19502 19796 20099 23331 26268 29253 29694 30646 31108 39004 40198 45969 46662 54439 58506 59388 60297 61292 80396 91938 93324 107261 108878 117012 120594 140693 163317 183876 214522 217756 221089 241188 281386 321783 326634 422079 429044 442178 562772 643566 653268 663267 844158 884356 984851 1287132 1326534 1547623 1688316 1969702 2653068 2954553 3095246 3939404 4642869 5909106 6190492 9285738 10833361 11818212 18571476 21666722 32500083 43333444 65000166 130000332