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21141112332 = 22361891911699
BaseRepresentation
bin10011101100000110…
…111100011000001100
32000120100201210002110
4103230012330120030
5321244111043312
613413451224020
71345616330004
oct235406743014
960510653073
1021141112332
118a6967466a
124120148010
131cbbc21532
141047a87004
1583b02343c
hex4ec1bc60c

21141112332 has 96 divisors (see below), whose sum is σ = 50996736000. Its totient is φ = 6813734400.

The previous prime is 21141112309. The next prime is 21141112339. The reversal of 21141112332 is 23321114112.

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 = 21141112299 and 21141112308.

It is not an unprimeable number, because it can be changed into a prime (21141112339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12442419 + ... + 12444117.

It is an arithmetic number, because the mean of its divisors is an integer number (531216000).

Almost surely, 221141112332 is an apocalyptic number.

It is an amenable number.

21141112332 is an abundant number, since it is smaller than the sum of its proper divisors (29855623668).

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

21141112332 is a wasteful number, since it uses less digits than its factorization.

21141112332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2045 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 21141112332 its reverse (23321114112), we get a palindrome (44462226444).

The spelling of 21141112332 in words is "twenty-one billion, one hundred forty-one million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 61 89 122 178 183 191 244 267 356 366 382 534 573 732 764 1068 1146 1699 2292 3398 5097 5429 6796 10194 10858 11651 16287 16999 20388 21716 23302 32574 33998 34953 46604 50997 65148 67996 69906 101994 103639 139812 151211 203988 207278 302422 310917 324509 414556 453633 604844 621834 649018 907266 973527 1036939 1243668 1298036 1814532 1947054 2073878 3110817 3894108 4147756 6221634 9223871 12443268 18447742 19795049 27671613 28881301 36895484 39590098 55343226 57762602 59385147 79180196 86643903 110686452 115525204 118770294 173287806 237540588 346575612 1761759361 3523518722 5285278083 7047037444 10570556166 21141112332