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1300231201300 = 225228152188813
BaseRepresentation
bin10010111010111011110…
…100011010001000010100
311121022010100101200210021
4102322323310122020110
5132300333141420200
62433152403034524
7162636640566553
oct22727364321024
94538110350707
101300231201300
11461474686149
1218bbb096ba44
13957c3c87445
1446d0816dd9a
1523c4e39441a
hex12ebbd1a214

1300231201300 has 72 divisors (see below), whose sum is σ = 2837009404152. Its totient is φ = 517241088000.

The previous prime is 1300231201277. The next prime is 1300231201319. The reversal of 1300231201300 is 31021320031.

It can be written as a sum of positive squares in 12 ways, for example, as 38217122064 + 1262014079236 = 195492^2 + 1123394^2 .

It is a super-2 number, since 2×13002312013002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14595694 + ... + 14684506.

It is an arithmetic number, because the mean of its divisors is an integer number (39402908391).

Almost surely, 21300231201300 is an apocalyptic number.

1300231201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300231201300 is an abundant number, since it is smaller than the sum of its proper divisors (1536778202852).

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

1300231201300 is a wasteful number, since it uses less digits than its factorization.

1300231201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89629 (or 89622 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1300231201300 its reverse (31021320031), we get a palindrome (1331252521331).

The spelling of 1300231201300 in words is "one trillion, three hundred billion, two hundred thirty-one million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 281 521 562 1042 1124 1405 2084 2605 2810 5210 5620 7025 10420 13025 14050 26050 28100 52100 88813 146401 177626 292802 355252 444065 585604 732005 888130 1464010 1776260 2220325 2928020 3660025 4440650 7320050 8881300 14640100 24956453 46271573 49912906 92543146 99825812 124782265 185086292 231357865 249564530 462715730 499129060 623911325 925431460 1156789325 1247822650 2313578650 2495645300 4627157300 13002312013 26004624026 52009248052 65011560065 130023120130 260046240260 325057800325 650115600650 1300231201300