Search a number
-
+
23122000030032 = 2432251639718903
BaseRepresentation
bin1010100000111100000101…
…00110010010100101010000
310000212102220221022110000200
411100132002212102211100
511012312324001430112
6121102033345415200
74604336500306521
oct520360246224520
9100772827273020
1023122000030032
117404a92256012
12271524703a500
13cb951a485c07
1459d179d62848
152a16c9e4bcdc
hex150782992950

23122000030032 has 60 divisors (see below), whose sum is σ = 64967293014624. Its totient is φ = 7676626824000.

The previous prime is 23122000029839. The next prime is 23122000030091. The reversal of 23122000030032 is 23003000022132.

It is a happy number.

23122000030032 is a `hidden beast` number, since 2 + 312 + 20 + 0 + 0 + 0 + 300 + 32 = 666.

It is a super-3 number, since 3×231220000300323 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23122000029987 and 23122000030014.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 319823308 + ... + 319895595.

Almost surely, 223122000030032 is an apocalyptic number.

It is an amenable number.

23122000030032 is an abundant number, since it is smaller than the sum of its proper divisors (41845292984592).

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

23122000030032 is a wasteful number, since it uses less digits than its factorization.

23122000030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639719168 (or 639719159 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23122000030032 its reverse (23003000022132), we get a palindrome (46125000052164).

The spelling of 23122000030032 in words is "twenty-three trillion, one hundred twenty-two billion, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 251 502 753 1004 1506 2008 2259 3012 4016 4518 6024 9036 12048 18072 36144 639718903 1279437806 1919156709 2558875612 3838313418 5117751224 5757470127 7676626836 10235502448 11514940254 15353253672 23029880508 30706507344 46059761016 92119522032 160569444653 321138889306 481708333959 642277778612 963416667918 1284555557224 1445125001877 1926833335836 2569111114448 2890250003754 3853666671672 5780500007508 7707333343344 11561000015016 23122000030032