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331311103020 = 2232515641117679
BaseRepresentation
bin1001101001000111010…
…11100011110000101100
31011200011122021212100100
410310203223203300230
520412011120244040
6412111402431100
732636124624102
oct4644353436054
91150148255310
10331311103020
11118565531447
1254263502490
132531ca185c1
141206d75bc72
15894146cb30
hex4d23ae3c2c

331311103020 has 72 divisors (see below), whose sum is σ = 1005049805760. Its totient is φ = 88343228160.

The previous prime is 331311103009. The next prime is 331311103073. The reversal of 331311103020 is 20301113133.

It is a happy number.

331311103020 is a `hidden beast` number, since 331 + 31 + 1 + 1 + 0 + 302 + 0 = 666.

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 = 331311102984 and 331311103002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2756541 + ... + 2874219.

It is an arithmetic number, because the mean of its divisors is an integer number (13959025080).

Almost surely, 2331311103020 is an apocalyptic number.

331311103020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331311103020 is an abundant number, since it is smaller than the sum of its proper divisors (673738702740).

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

331311103020 is a wasteful number, since it uses less digits than its factorization.

331311103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133335 (or 133330 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331311103020 its reverse (20301113133), we get a palindrome (351612216153).

The spelling of 331311103020 in words is "three hundred thirty-one billion, three hundred eleven million, one hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 15641 31282 46923 62564 78205 93846 117679 140769 156410 187692 234615 235358 281538 312820 353037 469230 470716 563076 588395 703845 706074 938460 1059111 1176790 1407690 1412148 1765185 2118222 2353580 2815380 3530370 4236444 5295555 7060740 10591110 21182220 1840617239 3681234478 5521851717 7362468956 9203086195 11043703434 16565555151 18406172390 22087406868 27609258585 33131110302 36812344780 55218517170 66262220604 82827775755 110437034340 165655551510 331311103020