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133005130432132 = 22719797724680251
BaseRepresentation
bin11110001111011110101011…
…100011010111111010000100
3122102221011111020002112000211
4132033132223203113322010
5114413124001342312012
61150513414032245204
740005206060003620
oct3617365343277204
9572834436075024
10133005130432132
113941a182768562
1212b013510a0804
13592a439c8103a
1424bb6a85ca180
151059b7e40a6a7
hex78f7ab8d7e84

133005130432132 has 48 divisors (see below), whose sum is σ = 267634232224128. Its totient is φ = 56654797248000.

The previous prime is 133005130432001. The next prime is 133005130432241. The reversal of 133005130432132 is 231234031500331.

It is a happy number.

It is a super-2 number, since 2×1330051304321322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133005130432094 and 133005130432103.

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, 6950994 + ... + 17729257.

It is an arithmetic number, because the mean of its divisors is an integer number (5575713171336).

Almost surely, 2133005130432132 is an apocalyptic number.

It is an amenable number.

133005130432132 is an abundant number, since it is smaller than the sum of its proper divisors (134629101791996).

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

133005130432132 is a wasteful number, since it uses less digits than its factorization.

133005130432132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24681436 (or 24681434 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 133005130432132 its reverse (231234031500331), we get a palindrome (364239161932463).

The spelling of 133005130432132 in words is "one hundred thirty-three trillion, five billion, one hundred thirty million, four hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 197 394 788 977 1379 1954 2758 3908 5516 6839 13678 27356 192469 384938 769876 1347283 2694566 5389132 24680251 49360502 98721004 172761757 345523514 691047028 4862009447 9724018894 19448037788 24112605227 34034066129 48225210454 68068132258 96450420908 136136264516 168788236589 337576473178 675152946356 4750183229719 9500366459438 19000732918876 33251282608033 66502565216066 133005130432132