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1321512211400 = 235229993122943
BaseRepresentation
bin10011001110110000010…
…001000001001111001000
311200100001110101000112112
4103032300101001033020
5133122424111231100
62451032213001452
7164322206313023
oct23166021011710
94610043330475
101321512211400
1146a4a5211aa7
1219414b923288
1397805b7b604
1447d666321ba
15245977edb35
hex133b04413c8

1321512211400 has 96 divisors (see below), whose sum is σ = 3178923321600. Its totient is φ = 510303494400.

The previous prime is 1321512211379. The next prime is 1321512211417. The reversal of 1321512211400 is 41122151231.

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, 57588329 + ... + 57611271.

It is an arithmetic number, because the mean of its divisors is an integer number (33113784600).

Almost surely, 21321512211400 is an apocalyptic number.

1321512211400 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 1321512211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589461660800).

1321512211400 is an abundant number, since it is smaller than the sum of its proper divisors (1857411110200).

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

1321512211400 is a wasteful number, since it uses less digits than its factorization.

1321512211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32919 (or 32910 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 1321512211400 its reverse (41122151231), we get a palindrome (1362634362631).

The spelling of 1321512211400 in words is "one trillion, three hundred twenty-one billion, five hundred twelve million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 9931 19862 22943 39724 45886 49655 79448 91772 99310 114715 183544 198620 229430 248275 287999 397240 458860 496550 573575 575998 665347 917720 993100 1147150 1151996 1330694 1439995 1986200 2294300 2303992 2661388 2879990 3326735 4588600 5322776 5759980 6653470 7199975 11519960 13306940 14399950 16633675 26613880 28799900 33267350 57599800 66534700 133069400 227846933 455693866 911387732 1139234665 1822775464 2278469330 4556938660 5696173325 6607561057 9113877320 11392346650 13215122114 22784693300 26430244228 33037805285 45569386600 52860488456 66075610570 132151221140 165189026425 264302442280 330378052850 660756105700 1321512211400