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331325106 = 23789151587
BaseRepresentation
bin10011101111111…
…001111010110010
3212002110001121020
4103233321322302
51134304400411
652513240310
711132134260
oct2357717262
9762401536
10331325106
1116002a502
1292b63096
1353847c78
1432009430
151e14a606
hex13bf9eb2

331325106 has 64 divisors (see below), whose sum is σ = 772208640. Its totient is φ = 92822400.

The previous prime is 331325089. The next prime is 331325123. The reversal of 331325106 is 601523133.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (331325089) and next prime (331325123).

It is a super-2 number, since 2×3313251062 = 219552651731822472, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 564145 + ... + 564731.

It is an arithmetic number, because the mean of its divisors is an integer number (12065760).

Almost surely, 2331325106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331325106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386104320).

331325106 is an abundant number, since it is smaller than the sum of its proper divisors (440883534).

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

331325106 is a wasteful number, since it uses less digits than its factorization.

331325106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 331325106 is about 18202.3379267609. The cubic root of 331325106 is about 691.9660415804.

Adding to 331325106 its reverse (601523133), we get a palindrome (932848239).

The spelling of 331325106 in words is "three hundred thirty-one million, three hundred twenty-five thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 89 151 178 267 302 453 534 587 623 906 1057 1174 1246 1761 1869 2114 3171 3522 3738 4109 6342 8218 12327 13439 24654 26878 40317 52243 80634 88637 94073 104486 156729 177274 188146 265911 282219 313458 365701 531822 564438 620459 731402 1097103 1240918 1861377 2194206 3722754 7888693 15777386 23666079 47332158 55220851 110441702 165662553 331325106