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331113540 = 223541281479
BaseRepresentation
bin10011101111000…
…110010001000100
3212002001022101110
4103233012101010
51134231113130
652504525020
711130263412
oct2357062104
9762038343
10331113540
1115a9a555a
1292a80770
13537a2894
1431d922b2
151e107ab0
hex13bc6444

331113540 has 96 divisors (see below), whose sum is σ = 955100160. Its totient is φ = 85657600.

The previous prime is 331113509. The next prime is 331113583. The reversal of 331113540 is 45311133.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691021 + ... + 691499.

It is an arithmetic number, because the mean of its divisors is an integer number (9948960).

Almost surely, 2331113540 is an apocalyptic number.

331113540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331113540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477550080).

331113540 is an abundant number, since it is smaller than the sum of its proper divisors (623986620).

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

331113540 is a wasteful number, since it uses less digits than its factorization.

331113540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 331113540 is about 18196.5254925219. The cubic root of 331113540 is about 691.8187263944.

Adding to 331113540 its reverse (45311133), we get a palindrome (376424673).

The spelling of 331113540 in words is "three hundred thirty-one million, one hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 281 410 479 492 562 615 820 843 958 1124 1230 1405 1437 1686 1916 2395 2460 2810 2874 3372 4215 4790 5620 5748 7185 8430 9580 11521 14370 16860 19639 23042 28740 34563 39278 46084 57605 58917 69126 78556 98195 115210 117834 134599 138252 172815 196390 230420 235668 269198 294585 345630 392780 403797 538396 589170 672995 691260 807594 1178340 1345990 1615188 2018985 2691980 4037970 5518559 8075940 11037118 16555677 22074236 27592795 33111354 55185590 66222708 82778385 110371180 165556770 331113540