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1311213103020 = 2233512511194083
BaseRepresentation
bin10011000101001010011…
…001000010011110101100
311122100110200210002212000
4103011022121002132230
5132440331023244040
62442210223212300
7163506040324002
oct23051231023654
94570420702760
101311213103020
1146609a682487
12192156747090
1396854216142
144766a88ca72
152419355b130
hex1314a6427ac

1311213103020 has 96 divisors (see below), whose sum is σ = 4079676733440. Its totient is φ = 349627078080.

The previous prime is 1311213102971. The next prime is 1311213103033. The reversal of 1311213103020 is 203013121131.

1311213103020 is a `hidden beast` number, since 1 + 31 + 1 + 21 + 310 + 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 = 1311213102984 and 1311213103002.

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, 6658899 + ... + 6852981.

It is an arithmetic number, because the mean of its divisors is an integer number (42496632640).

Almost surely, 21311213103020 is an apocalyptic number.

1311213103020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311213103020 is an abundant number, since it is smaller than the sum of its proper divisors (2768463630420).

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

1311213103020 is a wasteful number, since it uses less digits than its factorization.

1311213103020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206612 (or 206604 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1311213103020 its reverse (203013121131), we get a palindrome (1514226224151).

The spelling of 1311213103020 in words is "one trillion, three hundred eleven billion, two hundred thirteen million, one hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 12511 25022 37533 50044 62555 75066 112599 125110 150132 187665 194083 225198 250220 337797 375330 388166 450396 562995 582249 675594 750660 776332 970415 1125990 1164498 1351188 1688985 1746747 1940830 2251980 2328996 2911245 3377970 3493494 3881660 5240241 5822490 6755940 6986988 8733735 10480482 11644980 17467470 20960964 26201205 34934940 52402410 104804820 2428172413 4856344826 7284517239 9712689652 12140862065 14569034478 21853551717 24281724130 29138068956 36422586195 43707103434 48563448260 65560655151 72845172390 87414206868 109267758585 131121310302 145690344780 218535517170 262242620604 327803275755 437071034340 655606551510 1311213103020