Search a number
-
+
330031421252130 = 235132159939179333
BaseRepresentation
bin100101100001010010110110…
…1101000001110001000100010
31121021112200210012021100010010
41023002211231220032020202
5321224213322320032010
63125530201501545350
7126341661165333333
oct11302455550161042
91537480705240103
10330031421252130
11961815a3439344
1231022373275256
131121caa24b8c40
145b6d86acb228a
152824d1be03620
hex12c296da0e222

330031421252130 has 64 divisors (see below), whose sum is σ = 853043803315200. Its totient is φ = 81234740403456.

The previous prime is 330031421252107. The next prime is 330031421252153. The reversal of 330031421252130 is 31252124130033.

It is an interprime number because it is at equal distance from previous prime (330031421252107) and next prime (330031421252153).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11166057 + ... + 28013276.

It is an arithmetic number, because the mean of its divisors is an integer number (13328809426800).

Almost surely, 2330031421252130 is an apocalyptic number.

330031421252130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330031421252130 is an abundant number, since it is smaller than the sum of its proper divisors (523012382063070).

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

330031421252130 is a wasteful number, since it uses less digits than its factorization.

330031421252130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39200955.

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 330031421252130 its reverse (31252124130033), we get a palindrome (361283545382163).

It can be divided in two parts, 330031421 and 252130, that added together give a triangular number (330283551 = T25701).

The spelling of 330031421252130 in words is "three hundred thirty trillion, thirty-one billion, four hundred twenty-one million, two hundred fifty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 21599 43198 64797 107995 129594 215990 280787 323985 561574 647970 842361 1403935 1684722 2807870 4211805 8423610 39179333 78358666 117537999 195896665 235075998 391793330 509331329 587689995 1018662658 1175379990 1527993987 2546656645 3055987974 5093313290 7639969935 15279939870 846234413467 1692468826934 2538703240401 4231172067335 5077406480802 8462344134670 11001047375071 12693516202005 22002094750142 25387032404010 33003142125213 55005236875355 66006284250426 110010473750710 165015710626065 330031421252130