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13231311200 = 2552192337847
BaseRepresentation
bin11000101001010010…
…11100100101100000
31021011010001020202222
430110221130211200
5204044203424300
610024532530212
7645612201212
oct142451344540
937133036688
1013231311200
11567a803a38
122693180968
13132b29ca33
148d737c5b2
155268e3785
hex314a5c960

13231311200 has 144 divisors (see below), whose sum is σ = 35480229120. Its totient is φ = 4795845120.

The previous prime is 13231311077. The next prime is 13231311211. The reversal of 13231311200 is 211313231.

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, 330677 + ... + 368523.

It is an arithmetic number, because the mean of its divisors is an integer number (246390480).

Almost surely, 213231311200 is an apocalyptic number.

13231311200 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 13231311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740114560).

13231311200 is an abundant number, since it is smaller than the sum of its proper divisors (22248917920).

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

13231311200 is a wasteful number, since it uses less digits than its factorization.

13231311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37909 (or 37896 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13231311200 its reverse (211313231), we get a palindrome (13442624431).

The spelling of 13231311200 in words is "thirteen billion, two hundred thirty-one million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 23 25 32 38 40 46 50 76 80 92 95 100 115 152 160 184 190 200 230 304 368 380 400 437 460 475 575 608 736 760 800 874 920 950 1150 1520 1748 1840 1900 2185 2300 3040 3496 3680 3800 4370 4600 6992 7600 8740 9200 10925 13984 15200 17480 18400 21850 34960 37847 43700 69920 75694 87400 151388 174800 189235 302776 349600 378470 605552 719093 756940 870481 946175 1211104 1438186 1513880 1740962 1892350 2876372 3027760 3481924 3595465 3784700 4352405 5752744 6055520 6963848 7190930 7569400 8704810 11505488 13927696 14381860 15138800 16539139 17409620 17977325 21762025 23010976 27855392 28763720 30277600 33078278 34819240 35954650 43524050 57527440 66156556 69638480 71909300 82695695 87048100 115054880 132313112 139276960 143818600 165391390 174096200 264626224 287637200 330782780 348192400 413478475 529252448 575274400 661565560 696384800 826956950 1323131120 1653913900 2646262240 3307827800 6615655600 13231311200