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330433131 = 37171138191
BaseRepresentation
bin10011101100100…
…000001001101011
3212000202202001010
4103230200021223
51134042330011
652442155003
711121430620
oct2354401153
9760682033
10330433131
1115a580336
12927b2a63
13535c4c82
1431c56347
151e0211a6
hex13b2026b

330433131 has 32 divisors (see below), whose sum is σ = 537919488. Its totient is φ = 176117760.

The previous prime is 330433127. The next prime is 330433139. The reversal of 330433131 is 131334033.

It is not a de Polignac number, because 330433131 - 22 = 330433127 is a prime.

It is a super-2 number, since 2×3304331312 = 218372108124926322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 330433098 and 330433107.

It is not an unprimeable number, because it can be changed into a prime (330433139) by changing a digit.

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, 36246 + ... + 44436.

It is an arithmetic number, because the mean of its divisors is an integer number (16809984).

Almost surely, 2330433131 is an apocalyptic number.

330433131 is a deficient number, since it is larger than the sum of its proper divisors (207486357).

330433131 is a wasteful number, since it uses less digits than its factorization.

330433131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8331.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 330433131 is about 18177.8197537548. The cubic root of 330433131 is about 691.3445260284.

Adding to 330433131 its reverse (131334033), we get a palindrome (461767164).

The spelling of 330433131 in words is "three hundred thirty million, four hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 17 21 51 113 119 339 357 791 1921 2373 5763 8191 13447 24573 40341 57337 139247 172011 417741 925583 974729 2776749 2924187 6479081 15734911 19437243 47204733 110144377 330433131