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130211032112 = 2474159947339
BaseRepresentation
bin111100101000100101…
…1101010110000110000
3110110002122000210020222
41321101023222300300
54113133011011422
6135452414152212
712256515340220
oct1712113526060
9413078023228
10130211032112
1150249807737
122129b4b2668
13c3818223c5
146433520080
1535c164b842
hex1e512eac30

130211032112 has 80 divisors (see below), whose sum is σ = 295856064000. Its totient is φ = 54351598080.

The previous prime is 130211032103. The next prime is 130211032151. The reversal of 130211032112 is 211230112031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2726939 + ... + 2774277.

It is an arithmetic number, because the mean of its divisors is an integer number (3698200800).

Almost surely, 2130211032112 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 130211032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147928032000).

130211032112 is an abundant number, since it is smaller than the sum of its proper divisors (165645031888).

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

130211032112 is a wasteful number, since it uses less digits than its factorization.

130211032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47994 (or 47988 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 130211032112 its reverse (211230112031), we get a palindrome (341441144143).

The spelling of 130211032112 in words is "one hundred thirty billion, two hundred eleven million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 599 656 1148 1198 2296 2396 4193 4592 4792 8386 9584 16772 24559 33544 47339 49118 67088 94678 98236 171913 189356 196472 331373 343826 378712 392944 662746 687652 757424 1325492 1375304 1940899 2650984 2750608 3881798 5301968 7763596 13586293 15527192 27172586 28356061 31054384 54345172 56712122 108690344 113424244 198492427 217380688 226848488 396984854 453696976 793969708 1162598501 1587939416 2325197002 3175878832 4650394004 8138189507 9300788008 16276379014 18601576016 32552758028 65105516056 130211032112