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331189891081 = 7219243272
BaseRepresentation
bin1001101000111000111…
…01001011000000001001
31011122212012012122211021
410310130131023000021
520411234103003311
6412051352432441
732633123424400
oct4643435130011
91148765178737
10331189891081
11118503072095
125422a9a8721
1325300888b6a
141205b608637
1589359c8171
hex4d1c74b009

331189891081 has 27 divisors (see below), whose sum is σ = 406699840269. Its totient is φ = 268873999128.

The previous prime is 331189891031. The next prime is 331189891129. The reversal of 331189891081 is 180198981133.

It is a happy number.

The square root of 331189891081 is 575491.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 331189891081 - 223 = 331181502473 is a prime.

It is a super-2 number, since 2×3311898910812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331189891031) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76538140 + ... + 76542466.

It is an arithmetic number, because the mean of its divisors is an integer number (15062957047).

Almost surely, 2331189891081 is an apocalyptic number.

331189891081 is the 575491-st square number.

331189891081 is the 287746-th centered octagonal number.

It is an amenable number.

331189891081 is a deficient number, since it is larger than the sum of its proper divisors (75509949188).

331189891081 is an frugal number, since it uses more digits than its factorization.

331189891081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8706 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 52.

The spelling of 331189891081 in words is "three hundred thirty-one billion, one hundred eighty-nine million, eight hundred ninety-one thousand, eighty-one".

Divisors: 1 7 19 49 133 361 931 2527 4327 17689 30289 82213 212023 575491 1562047 4028437 10934329 18722929 76540303 131060503 355735651 917423521 2490149557 6758977369 17431046899 47312841583 331189891081