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1312243211100 = 2235229151199823
BaseRepresentation
bin10011000110000111110…
…010100101101101011100
311122110010111010000111010
4103012013302211231130
5132444433230223400
62442500342055220
7163543416153363
oct23060762455534
94573114100433
101312243211100
1146657909a978
121923a371a510
1396989765553
14477275d67da
1524203bd8450
hex13187ca5b5c

1312243211100 has 144 divisors (see below), whose sum is σ = 3930318443520. Its totient is φ = 337637932800.

The previous prime is 1312243211051. The next prime is 1312243211107. The reversal of 1312243211100 is 11123422131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312243211107) 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, 13095789 + ... + 13195611.

It is an arithmetic number, because the mean of its divisors is an integer number (27293878080).

Almost surely, 21312243211100 is an apocalyptic number.

1312243211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312243211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965159221760).

1312243211100 is an abundant number, since it is smaller than the sum of its proper divisors (2618075232420).

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

1312243211100 is a wasteful number, since it uses less digits than its factorization.

1312243211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101380 (or 101373 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1312243211100 its reverse (11123422131), we get a palindrome (1323366633231).

The spelling of 1312243211100 in words is "one trillion, three hundred twelve billion, two hundred forty-three million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1511 1740 2175 2900 3022 4350 4533 6044 7555 8700 9066 15110 18132 22665 30220 37775 43819 45330 75550 87638 90660 99823 113325 131457 151100 175276 199646 219095 226650 262914 299469 399292 438190 453300 499115 525828 598938 657285 876380 998230 1095475 1197876 1314570 1497345 1996460 2190950 2495575 2629140 2894867 2994690 3286425 4381900 4991150 5789734 5989380 6572850 7486725 8684601 9982300 11579468 13145700 14474335 14973450 17369202 28948670 29946900 34738404 43423005 57897340 72371675 86846010 144743350 150832553 173692020 217115025 289486700 301665106 434230050 452497659 603330212 754162765 868460100 904995318 1508325530 1809990636 2262488295 3016651060 3770813825 4374144037 4524976590 7541627650 8748288074 9049953180 11312441475 13122432111 15083255300 17496576148 21870720185 22624882950 26244864222 43741440370 45249765900 52489728444 65612160555 87482880740 109353600925 131224321110 218707201850 262448642220 328060802775 437414403700 656121605550 1312243211100