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1300213301310 = 2325711187620967
BaseRepresentation
bin10010111010111010110…
…000001000000000111110
311121022002002201021121200
4102322322300020000332
5132300314101120220
62433150523240330
7162636332465160
oct22727260100076
94538062637550
101300213301310
1146146556a670
1218bba69790a6
13957c035ab31
1446d05a30930
1523c4ca0a890
hex12ebac0803e

1300213301310 has 96 divisors (see below), whose sum is σ = 4214717425152. Its totient is φ = 270174191040.

The previous prime is 1300213301291. The next prime is 1300213301311. The reversal of 1300213301310 is 131033120031.

It is a happy number.

1300213301310 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 21 + 330 + 1 + 310 = 666.

It is a super-2 number, since 2×13002133013102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300213301311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93803554 + ... + 93817413.

It is an arithmetic number, because the mean of its divisors is an integer number (43903306512).

Almost surely, 21300213301310 is an apocalyptic number.

1300213301310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1300213301310 is an abundant number, since it is smaller than the sum of its proper divisors (2914504123842).

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

1300213301310 is a wasteful number, since it uses less digits than its factorization.

1300213301310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187620998 (or 187620995 counting only the distinct ones).

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

Adding to 1300213301310 its reverse (131033120031), we get a palindrome (1431246421341).

The spelling of 1300213301310 in words is "one trillion, three hundred billion, two hundred thirteen million, three hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 187620967 375241934 562862901 938104835 1125725802 1313346769 1688588703 1876209670 2063830637 2626693538 2814314505 3377177406 3940040307 4127661274 5628629010 6191491911 6566733845 7880080614 8442943515 10319153185 11820120921 12382983822 13133467690 14446814459 16885887030 18574475733 19700201535 20638306370 23640241842 28893628918 30957459555 37148951466 39400403070 43340443377 59100604605 61914919110 72234072295 86680886754 92872378665 118201209210 130021330131 144468144590 185744757330 216702216885 260042660262 433404433770 650106650655 1300213301310