Search a number
-
+
331021103088 = 243132262115569
BaseRepresentation
bin1001101000100100110…
…01010010111111110000
31011122102102121100020010
410310102121102333300
520410412400244323
6412022523014520
732626003644204
oct4642231227760
91148372540203
10331021103088
11118426868185
12541a236a440
13252a490c400
141204302cb04
158925c86c93
hex4d12652ff0

331021103088 has 120 divisors (see below), whose sum is σ = 926390461680. Its totient is φ = 101807247360.

The previous prime is 331021103087. The next prime is 331021103177. The reversal of 331021103088 is 880301120133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331021103087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21253768 + ... + 21269336.

It is an arithmetic number, because the mean of its divisors is an integer number (7719920514).

Almost surely, 2331021103088 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 331021103088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463195230840).

331021103088 is an abundant number, since it is smaller than the sum of its proper divisors (595369358592).

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

331021103088 is a wasteful number, since it uses less digits than its factorization.

331021103088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18227 (or 18208 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 331021103088 in words is "three hundred thirty-one billion, twenty-one million, one hundred three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2621 2704 4056 5242 7863 8112 10484 15569 15726 20968 31138 31452 34073 41936 46707 62276 62904 68146 93414 102219 124552 125808 136292 186828 202397 204438 249104 272584 373656 404794 408876 442949 545168 607191 747312 809588 817752 885898 1214382 1328847 1619176 1635504 1771796 2428764 2631161 2657694 3238352 3543592 4857528 5262322 5315388 7087184 7893483 9715056 10524644 10630776 15786966 21049288 21261552 31573932 40806349 42098576 63147864 81612698 122419047 126295728 163225396 244838094 326450792 489676188 530482537 652901584 979352376 1060965074 1591447611 1958704752 2121930148 3182895222 4243860296 6365790444 6896272981 8487720592 12731580888 13792545962 20688818943 25463161776 27585091924 41377637886 55170183848 82755275772 110340367696 165510551544 331021103088