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331100042 = 271319232181
BaseRepresentation
bin10011101111000…
…010111110001010
3212002000121212112
4103233002332022
51134230200132
652504342322
711130206150
oct2357027612
9762017775
10331100042
1115a9963a9
1292a749a2
13537996b0
1431d8b3d0
151e103ab2
hex13bc2f8a

331100042 has 96 divisors (see below), whose sum is σ = 676341120. Its totient is φ = 118039680.

The previous prime is 331100027. The next prime is 331100089. The reversal of 331100042 is 240001133.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1829192 + ... + 1829372.

It is an arithmetic number, because the mean of its divisors is an integer number (7045220).

Almost surely, 2331100042 is an apocalyptic number.

331100042 is an abundant number, since it is smaller than the sum of its proper divisors (345241078).

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

331100042 is a wasteful number, since it uses less digits than its factorization.

331100042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 331100042 is about 18196.1545937596. The cubic root of 331100042 is about 691.8093254941.

331100042 divided by its sum of digits (14) gives a triangular number (23650003 = T6877).

Adding to 331100042 its reverse (240001133), we get a palindrome (571101175).

The spelling of 331100042 in words is "three hundred thirty-one million, one hundred thousand, forty-two".

Divisors: 1 2 7 13 14 19 23 26 38 46 91 133 161 181 182 247 266 299 322 362 437 494 529 598 874 1058 1267 1729 2093 2353 2534 3059 3439 3458 3703 4163 4186 4706 5681 6118 6877 6878 7406 8326 10051 11362 13754 16471 20102 24073 29141 32942 39767 44707 48139 48146 54119 58282 70357 79097 79534 89414 95749 96278 108238 130663 140714 158194 191498 261326 312949 378833 553679 625898 670243 757666 914641 1028261 1107358 1244737 1340486 1819231 1829282 2056522 2489474 3638462 7197827 8713159 12734617 14395654 17426318 23650003 25469234 47300006 165550021 331100042