Search a number
-
+
332113023010032 = 243111759357590641
BaseRepresentation
bin100101110000011100001011…
…0110000110000010011110000
31121112220200202121012222211220
41023200320112300300103300
5322012314432342310112
63134202341055505040
7126645242212334205
oct11340702660602360
91545820677188756
10332113023010032
1196904384358670
12312b988b528180
131134117b985054
145c024db12bcac
15285e04dce998c
hex12e0e16c304f0

332113023010032 has 80 divisors (see below), whose sum is σ = 936486980520960. Its totient is φ = 100583095219200.

The previous prime is 332113023009941. The next prime is 332113023010061. The reversal of 332113023010032 is 230010320311233.

It is a super-2 number, since 2×3321130230100322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 332113023009984 and 332113023010011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177866569 + ... + 179724072.

It is an arithmetic number, because the mean of its divisors is an integer number (11706087256512).

Almost surely, 2332113023010032 is an apocalyptic number.

It is an amenable number.

332113023010032 is an abundant number, since it is smaller than the sum of its proper divisors (604373957510928).

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

332113023010032 is a wasteful number, since it uses less digits than its factorization.

332113023010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357592422 (or 357592416 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 332113023010032 its reverse (230010320311233), we get a palindrome (562123343321265).

The spelling of 332113023010032 in words is "three hundred thirty-two trillion, one hundred thirteen billion, twenty-three million, ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1759 3518 5277 7036 10554 14072 19349 21108 28144 38698 42216 58047 77396 84432 116094 154792 232188 309584 464376 928752 357590641 715181282 1072771923 1430362564 2145543846 2860725128 3933497051 4291087692 5721450256 7866994102 8582175384 11800491153 15733988204 17164350768 23600982306 31467976408 47201964612 62935952816 94403929224 188807858448 629001937519 1258003875038 1887005812557 2516007750076 3774011625114 5032015500152 6919021312709 7548023250228 10064031000304 13838042625418 15096046500456 20757063938127 27676085250836 30192093000912 41514127876254 55352170501672 83028255752508 110704341003344 166056511505016 332113023010032