Base | Representation |
---|---|
bin | 1010101000001110001011… |
… | …00101111010000000010000 |
3 | 10001202100211001002222112011 |
4 | 11110013011211322000100 |
5 | 11030412312404343000 |
6 | 121413015531312304 |
7 | 4631405461666561 |
oct | 524070545720020 |
9 | 101670731088464 |
10 | 23372232106000 |
11 | 74a1120790388 |
12 | 27558412ab694 |
13 | 1006cb864cc5b |
14 | 5ab317506168 |
15 | 2a7e733092ba |
hex | 1541c597a010 |
23372232106000 has 160 divisors (see below), whose sum is σ = 57478064248800. Its totient is φ = 9189621504000.
The previous prime is 23372232105983. The next prime is 23372232106009. The reversal of 23372232106000 is 60123227332.
It is a happy number.
It can be written as a sum of positive squares in 16 ways, for example, as 20862567813136 + 2509664292864 = 4567556^2 + 1584192^2 .
It is a super-2 number, since 2×233722321060002 (a number of 28 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (23372232106009) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 188916162 + ... + 189039838.
It is an arithmetic number, because the mean of its divisors is an integer number (359237901555).
Almost surely, 223372232106000 is an apocalyptic number.
23372232106000 is a gapful number since it is divisible by the number (20) 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 23372232106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28739032124400).
23372232106000 is an abundant number, since it is smaller than the sum of its proper divisors (34105832142800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23372232106000 is a wasteful number, since it uses less digits than its factorization.
23372232106000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 125310 (or 125294 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 31.
The spelling of 23372232106000 in words is "twenty-three trillion, three hundred seventy-two billion, two hundred thirty-two million, one hundred six thousand".
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