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1306640115300 = 22352132911552963
BaseRepresentation
bin10011000000111001110…
…100011110011001100100
311121220122222220021000110
4103000321310132121210
5132401444332142200
62440132344213020
7163254521504202
oct23007164363144
94556588807013
101306640115300
11464163310093
1219129b16a170
13962a5995c50
14473553c4072
1523ec6d51b50
hex13039d1e664

1306640115300 has 144 divisors (see below), whose sum is σ = 4211748555840. Its totient is φ = 310543618560.

The previous prime is 1306640115281. The next prime is 1306640115317. The reversal of 1306640115300 is 35110466031.

It is a super-2 number, since 2×13066401153002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 5663382 + ... + 5889581.

It is an arithmetic number, because the mean of its divisors is an integer number (29248253860).

Almost surely, 21306640115300 is an apocalyptic number.

1306640115300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306640115300 is an abundant number, since it is smaller than the sum of its proper divisors (2905108440540).

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

1306640115300 is a wasteful number, since it uses less digits than its factorization.

1306640115300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11553022 (or 11553015 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 1306640115300 in words is "one trillion, three hundred six billion, six hundred forty million, one hundred fifteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 29 30 39 50 52 58 60 65 75 78 87 100 116 130 145 150 156 174 195 260 290 300 325 348 377 390 435 580 650 725 754 780 870 975 1131 1300 1450 1508 1740 1885 1950 2175 2262 2900 3770 3900 4350 4524 5655 7540 8700 9425 11310 18850 22620 28275 37700 56550 113100 11552963 23105926 34658889 46211852 57764815 69317778 115529630 138635556 150188519 173294445 231059260 288824075 300377038 335035927 346588890 450565557 577648150 600754076 670071854 693177780 750942595 866472225 901131114 1005107781 1155296300 1340143708 1501885190 1675179635 1732944450 1802262228 2010215562 2252827785 3003770380 3350359270 3465888900 3754712975 4020431124 4355467051 4505655570 5025538905 6700718540 7509425950 8375898175 8710934102 9011311140 10051077810 11264138925 13066401153 15018851900 16751796350 17421868204 20102155620 21777335255 22528277850 25127694525 26132802306 33503592700 43554670510 45056555700 50255389050 52265604612 65332005765 87109341020 100510778100 108886676275 130664011530 217773352550 261328023060 326660028825 435546705100 653320057650 1306640115300