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1311322244100 = 2235211397370377
BaseRepresentation
bin10011000101010000111…
…001011000010000000100
311122100202022011001021020
4103011100321120100010
5132441041443302400
62442225122351140
7163511534110401
oct23052071302004
94570668131236
101311322244100
11466146247820
121921871bb4b0
1396870a0a56b
144767b17d2a8
152419ce192a0
hex13150e58404

1311322244100 has 72 divisors (see below), whose sum is σ = 4139009857248. Its totient is φ = 317896300800.

The previous prime is 1311322244033. The next prime is 1311322244101. The reversal of 1311322244100 is 14422231131.

It is a super-3 number, since 3×13113222441003 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311322244101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198681889 + ... + 198688488.

Almost surely, 21311322244100 is an apocalyptic number.

1311322244100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311322244100 is an abundant number, since it is smaller than the sum of its proper divisors (2827687613148).

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

1311322244100 is a wasteful number, since it uses less digits than its factorization.

1311322244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397370405 (or 397370398 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1311322244100 its reverse (14422231131), we get a palindrome (1325744475231).

The spelling of 1311322244100 in words is "one trillion, three hundred eleven billion, three hundred twenty-two million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 397370377 794740754 1192111131 1589481508 1986851885 2384222262 3973703770 4371074147 4768444524 5960555655 7947407540 8742148294 9934259425 11921111310 13113222441 17484296588 19868518850 21855370735 23842222620 26226444882 29802778275 39737037700 43710741470 52452889764 59605556550 65566112205 87421482940 109276853675 119211113100 131132224410 218553707350 262264448820 327830561025 437107414700 655661122050 1311322244100