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1300010331120 = 243518129926573
BaseRepresentation
bin10010111010101110101…
…001110110101111110000
311121021112221210022212020
4102322232221312233300
5132244410121043440
62433114433031440
7162631316330304
oct22725651665760
94537487708766
101300010331120
11461370a39106
1218bb4a9b5580
139578a2a3927
1446cc6ab7d04
1523c39cb63d0
hex12eaea76bf0

1300010331120 has 80 divisors (see below), whose sum is σ = 4052297532192. Its totient is φ = 344754109440.

The previous prime is 1300010331119. The next prime is 1300010331127. The reversal of 1300010331120 is 211330100031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×13000103311203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1300010331120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300010331127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14919847 + ... + 15006726.

Almost surely, 21300010331120 is an apocalyptic number.

1300010331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300010331120 is an abundant number, since it is smaller than the sum of its proper divisors (2752287201072).

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

1300010331120 is a wasteful number, since it uses less digits than its factorization.

1300010331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29926770 (or 29926764 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1300010331120 its reverse (211330100031), we get a palindrome (1511340431151).

The spelling of 1300010331120 in words is "one trillion, three hundred billion, ten million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 181 240 362 543 724 905 1086 1448 1810 2172 2715 2896 3620 4344 5430 7240 8688 10860 14480 21720 43440 29926573 59853146 89779719 119706292 149632865 179559438 239412584 299265730 359118876 448898595 478825168 598531460 718237752 897797190 1197062920 1436475504 1795594380 2394125840 3591188760 5416709713 7182377520 10833419426 16250129139 21666838852 27083548565 32500258278 43333677704 54167097130 65000516556 81250645695 86667355408 108334194260 130001033112 162501291390 216668388520 260002066224 325002582780 433336777040 650005165560 1300010331120