Search a number
-
+
312113121232 = 24114182752301
BaseRepresentation
bin1001000101010110110…
…01000100011111010000
31002211121200220100020211
410202223121010133100
520103201424334412
6355214403213504
731356311520523
oct4425331043720
91084550810224
10312113121232
111104037a15a0
12505a6077294
132358054c373
141116bba8bba
1581bad26ca7
hex48ab6447d0

312113121232 has 80 divisors (see below), whose sum is σ = 676613818944. Its totient is φ = 138239360000.

The previous prime is 312113121227. The next prime is 312113121241. The reversal of 312113121232 is 232121311213.

It is a super-2 number, since 2×3121131212322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 15 ways as a sum of consecutive naturals, for example, 5941482 + ... + 5993782.

Almost surely, 2312113121232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312113121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338306909472).

312113121232 is an abundant number, since it is smaller than the sum of its proper divisors (364500697712).

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

312113121232 is a wasteful number, since it uses less digits than its factorization.

312113121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53188 (or 53182 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

Adding to 312113121232 its reverse (232121311213), we get a palindrome (544234432445).

The spelling of 312113121232 in words is "three hundred twelve billion, one hundred thirteen million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 827 902 1654 1804 3308 3608 6616 7216 9097 13232 18194 33907 36388 52301 67814 72776 104602 135628 145552 209204 271256 372977 418408 542512 575311 745954 836816 1150622 1491908 2144341 2301244 2983816 4288682 4602488 5967632 8577364 9204976 17154728 23587751 34309456 43252927 47175502 86505854 94351004 173011708 188702008 346023416 377404016 475782197 692046832 951564394 1773370007 1903128788 3546740014 3806257576 7093480028 7612515152 14186960056 19507070077 28373920112 39014140154 78028280308 156056560616 312113121232