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330131002020 = 2235139187721089
BaseRepresentation
bin1001100110111010101…
…01110101001010100100
31011120010101201112002220
410303131111311022210
520402102014031040
6411354325032340
732564645134311
oct4633525651244
91146111645086
10330131002020
1111800a387066
1253b942556b0
13251923a05a1
1411d9ab2bd08
1588c2a632d0
hex4cdd5752a4

330131002020 has 96 divisors (see below), whose sum is σ = 931557110400. Its totient is φ = 87350882304.

The previous prime is 330131002013. The next prime is 330131002027. The reversal of 330131002020 is 20200131033.

It is an interprime number because it is at equal distance from previous prime (330131002013) and next prime (330131002027).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (330131002027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15643636 + ... + 15664724.

It is an arithmetic number, because the mean of its divisors is an integer number (9703719900).

Almost surely, 2330131002020 is an apocalyptic number.

330131002020 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 330131002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465778555200).

330131002020 is an abundant number, since it is smaller than the sum of its proper divisors (601426108380).

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

330131002020 is a wasteful number, since it uses less digits than its factorization.

330131002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23117 (or 23115 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 330131002020 its reverse (20200131033), we get a palindrome (350331133053).

The spelling of 330131002020 in words is "three hundred thirty billion, one hundred thirty-one million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 1877 2085 2780 3754 4170 5631 7508 8340 9385 11262 18770 21089 22524 28155 37540 42178 56310 63267 84356 105445 112620 126534 210890 253068 260903 316335 421780 521806 632670 782709 1043612 1265340 1304515 1565418 2609030 2931371 3130836 3913545 5218060 5862742 7827090 8794113 11725484 14656855 15654180 17588226 29313710 35176452 39584053 43970565 58627420 79168106 87941130 118752159 158336212 175882260 197920265 237504318 395840530 475008636 593760795 791681060 1187521590 2375043180 5502183367 11004366734 16506550101 22008733468 27510916835 33013100202 55021833670 66026200404 82532750505 110043667340 165065501010 330131002020