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13331311020 = 2233529851297
BaseRepresentation
bin11000110101001101…
…11010100110101100
31021102002012202202000
430122212322212230
5204300303423040
610042504132300
7651235162656
oct143246724654
937362182660
1013331311020
1157211a5315
122700767090
131345c13421
1490676d6d6
15530598130
hex31a9ba9ac

13331311020 has 96 divisors (see below), whose sum is σ = 42905419200. Its totient is φ = 3432425472.

The previous prime is 13331311001. The next prime is 13331311033. The reversal of 13331311020 is 2011313331.

It is a happy number.

13331311020 is a `hidden beast` number, since 1 + 3 + 331 + 311 + 0 + 20 = 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 = 13331310984 and 13331311002.

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, 409989 + ... + 441308.

It is an arithmetic number, because the mean of its divisors is an integer number (446931450).

Almost surely, 213331311020 is an apocalyptic number.

13331311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331311020 is an abundant number, since it is smaller than the sum of its proper divisors (29574108180).

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

13331311020 is a wasteful number, since it uses less digits than its factorization.

13331311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851344 (or 851336 counting only the distinct ones).

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

Adding to 13331311020 its reverse (2011313331), we get a palindrome (15342624351).

The spelling of 13331311020 in words is "thirteen billion, three hundred thirty-one million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 851297 1702594 2553891 3405188 4256485 5107782 7661673 8512970 10215564 12769455 15323346 17025940 22985019 24687613 25538910 30646692 38308365 45970038 49375226 51077820 74062839 76616730 91940076 98750452 114925095 123438065 148125678 153233460 222188517 229850190 246876130 296251356 370314195 444377034 459700380 493752260 666565551 740628390 888754068 1110942585 1333131102 1481256780 2221885170 2666262204 3332827755 4443770340 6665655510 13331311020