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331302114 = 2321121311701
BaseRepresentation
bin10011101111110…
…100010011100010
3212002101220001200
4103233310103202
51134303131424
652512542030
711132010243
oct2357642342
9762356050
10331302114
11160014200
1292b51916
135383a670
1432000cca
151e1438c9
hex13bf44e2

331302114 has 72 divisors (see below), whose sum is σ = 849775836. Its totient is φ = 92664000.

The previous prime is 331302079. The next prime is 331302131. The reversal of 331302114 is 411203133.

It can be written as a sum of positive squares in 2 ways, for example, as 330621489 + 680625 = 18183^2 + 825^2 .

It is a super-2 number, since 2×3313021142 = 219522181481737992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22464 + ... + 34164.

Almost surely, 2331302114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331302114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424887918).

331302114 is an abundant number, since it is smaller than the sum of its proper divisors (518473722).

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

331302114 is a wasteful number, since it uses less digits than its factorization.

331302114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11744 (or 11730 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 331302114 is about 18201.7063485817. The cubic root of 331302114 is about 691.9500350951.

Adding to 331302114 its reverse (411203133), we get a palindrome (742505247).

The spelling of 331302114 in words is "three hundred thirty-one million, three hundred two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 198 234 242 286 363 429 726 858 1089 1287 1573 2178 2574 3146 4719 9438 11701 14157 23402 28314 35103 70206 105309 128711 152113 210618 257422 304226 386133 456339 772266 912678 1158399 1369017 1415821 1673243 2316798 2738034 2831642 3346486 4247463 5019729 8494926 10039458 12742389 15059187 18405673 25484778 30118374 36811346 55217019 110434038 165651057 331302114