Search a number
-
+
23122122321132 = 2232683731939377
BaseRepresentation
bin1010100000111100010011…
…11000110010110011101100
310000212110020110102110212200
411100132021320302303230
511012313101303234012
6121102053434501500
74604342513622402
oct520361170626354
9100773213373780
1023122122321132
11740504529213a
12271527bb94890
13cb9539902903
1459d18c2b7472
152a16d5a563dc
hex150789e32cec

23122122321132 has 36 divisors (see below), whose sum is σ = 58447734681336. Its totient is φ = 7707354629760.

The previous prime is 23122122321119. The next prime is 23122122321169. The reversal of 23122122321132 is 23112322122132.

23122122321132 is a `hidden beast` number, since 2 + 3 + 1 + 221 + 223 + 211 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×231221223211322 (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23122122321096 and 23122122321105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24144628 + ... + 25084004.

Almost surely, 223122122321132 is an apocalyptic number.

It is an amenable number.

23122122321132 is an abundant number, since it is smaller than the sum of its proper divisors (35325612360204).

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

23122122321132 is a wasteful number, since it uses less digits than its factorization.

23122122321132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623118 (or 1623113 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 23122122321132 its reverse (23112322122132), we get a palindrome (46234444443264).

The spelling of 23122122321132 in words is "twenty-three trillion, one hundred twenty-two billion, one hundred twenty-two million, three hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 683731 939377 1367462 1878754 2051193 2734924 2818131 3757508 4102386 5636262 6153579 8204772 8454393 11272524 12307158 16908786 24614316 33817572 642281175587 1284562351174 1926843526761 2569124702348 3853687053522 5780530580283 7707374107044 11561061160566 23122122321132