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331130203020 = 2232510317860313
BaseRepresentation
bin1001101000110001110…
…01011110101110001100
31011122201000220012012100
410310120321132232030
520411123312444040
6412041421235100
732631500166621
oct4643071365614
91148630805170
10331130203020
11118482404611
1254212a02a90
13252c13bab96
141205370c348
158930637b30
hex4d18e5eb8c

331130203020 has 72 divisors (see below), whose sum is σ = 1014180070176. Its totient is φ = 87444087552.

The previous prime is 331130203013. The next prime is 331130203021. The reversal of 331130203020 is 20302031133.

331130203020 is a `hidden beast` number, since 3 + 311 + 30 + 20 + 302 + 0 = 666.

331130203020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3311302030202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331130202984 and 331130203002.

It is not an unprimeable number, because it can be changed into a prime (331130203021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8911617 + ... + 8948696.

It is an arithmetic number, because the mean of its divisors is an integer number (14085834308).

Almost surely, 2331130203020 is an apocalyptic number.

331130203020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331130203020 is an abundant number, since it is smaller than the sum of its proper divisors (683049867156).

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

331130203020 is a wasteful number, since it uses less digits than its factorization.

331130203020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17860431 (or 17860426 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 331130203020 its reverse (20302031133), we get a palindrome (351432234153).

The spelling of 331130203020 in words is "three hundred thirty-one billion, one hundred thirty million, two hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 9270 18540 17860313 35720626 53580939 71441252 89301565 107161878 160742817 178603130 214323756 267904695 321485634 357206260 535809390 642971268 803714085 1071618780 1607428170 1839612239 3214856340 3679224478 5518836717 7358448956 9198061195 11037673434 16556510151 18396122390 22075346868 27594183585 33113020302 36792244780 55188367170 66226040604 82782550755 110376734340 165565101510 331130203020