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130032011332332 = 22333225137332179
BaseRepresentation
bin11101100100001101101111…
…110110000100101011101100
3122001101221100102222110102000
4131210031233312010223230
5114020421024400113312
61140315514211532300
736250334313431124
oct3544155766045354
9561357312873360
10130032011332332
11384832a2518a8a
12127010a95ba090
135772c73561755
1424178237b1c84
15100766ea72adc
hex76436fd84aec

130032011332332 has 48 divisors (see below), whose sum is σ = 337130491420800. Its totient is φ = 43342658658000.

The previous prime is 130032011332331. The next prime is 130032011332357. The reversal of 130032011332332 is 233233110230031.

130032011332332 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 320 + 1 + 1 + 3 + 3 + 2 + 332 = 666.

It is a super-2 number, since 2×1300320113323322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130032011332296 and 130032011332305.

It is not an unprimeable number, because it can be changed into a prime (130032011332331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15182982 + ... + 22149197.

It is an arithmetic number, because the mean of its divisors is an integer number (7023551904600).

Almost surely, 2130032011332332 is an apocalyptic number.

130032011332332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130032011332332 is an abundant number, since it is smaller than the sum of its proper divisors (207098480088468).

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

130032011332332 is a wasteful number, since it uses less digits than its factorization.

130032011332332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37364443 (or 37364435 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 130032011332332 its reverse (233233110230031), we get a palindrome (363265121562363).

The spelling of 130032011332332 in words is "one hundred thirty trillion, thirty-two billion, eleven million, three hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 32251 64502 96753 129004 193506 290259 387012 580518 870777 1161036 1741554 3483108 37332179 74664358 111996537 149328716 223993074 335989611 447986148 671979222 1007968833 1343958444 2015937666 4031875332 1204000104929 2408000209858 3612000314787 4816000419716 7224000629574 10836000944361 14448001259148 21672001888722 32508002833083 43344003777444 65016005666166 130032011332332