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11313311200 = 255224158679
BaseRepresentation
bin10101000100101001…
…10110110111100000
31002012102222202101221
422202110312313200
5141132201424300
65110335304424
7550232362402
oct124224666740
932172882357
1011313311200
114886084174
12223897b114
1310b3b061a9
1479474ab72
1546332c31a
hex2a2536de0

11313311200 has 72 divisors (see below), whose sum is σ = 27733693680. Its totient is φ = 4506470400.

The previous prime is 11313311161. The next prime is 11313311201. The reversal of 11313311200 is 211331311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313311201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163461 + ... + 222139.

It is an arithmetic number, because the mean of its divisors is an integer number (385190190).

Almost surely, 211313311200 is an apocalyptic number.

11313311200 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 11313311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13866846840).

11313311200 is an abundant number, since it is smaller than the sum of its proper divisors (16420382480).

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

11313311200 is a wasteful number, since it uses less digits than its factorization.

11313311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58940 (or 58927 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11313311200 its reverse (211331311), we get a palindrome (11524642511).

The spelling of 11313311200 in words is "eleven billion, three hundred thirteen million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 241 400 482 800 964 1205 1928 2410 3856 4820 6025 7712 9640 12050 19280 24100 38560 48200 58679 96400 117358 192800 234716 293395 469432 586790 938864 1173580 1466975 1877728 2347160 2933950 4694320 5867900 9388640 11735800 14141639 23471600 28283278 46943200 56566556 70708195 113133112 141416390 226266224 282832780 353540975 452532448 565665560 707081950 1131331120 1414163900 2262662240 2828327800 5656655600 11313311200