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11413343200 = 2552712011697
BaseRepresentation
bin10101010000100100…
…11100101111100000
31002110102012220111211
422220102130233200
5141333303440300
65124311315504
7552555550030
oct125022345740
932412186454
1011413343200
114927597746
12226637bb94
1310cb75b41c
147a3b498c0
1546bedb4ba
hex2a849cbe0

11413343200 has 144 divisors (see below), whose sum is σ = 31888521504. Its totient is φ = 3907584000.

The previous prime is 11413343189. The next prime is 11413343203. The reversal of 11413343200 is 234331411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11413343203) 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, 6724752 + ... + 6726448.

It is an arithmetic number, because the mean of its divisors is an integer number (221448066).

Almost surely, 211413343200 is an apocalyptic number.

11413343200 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 11413343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15944260752).

11413343200 is an abundant number, since it is smaller than the sum of its proper divisors (20475178304).

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

11413343200 is a wasteful number, since it uses less digits than its factorization.

11413343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 11413343200 its reverse (234331411), we get a palindrome (11647674611).

The spelling of 11413343200 in words is "eleven billion, four hundred thirteen million, three hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1201 1400 1697 2402 2800 3394 4804 5600 6005 6788 8407 8485 9608 11879 12010 13576 16814 16970 19216 23758 24020 27152 30025 33628 33940 38432 42035 42425 47516 48040 54304 59395 60050 67256 67880 84070 84850 95032 96080 118790 120100 134512 135760 168140 169700 190064 192160 210175 237580 240200 269024 271520 296975 336280 339400 380128 420350 475160 480400 593950 672560 678800 840700 950320 960800 1187900 1345120 1357600 1681400 1900640 2038097 2375800 3362800 4076194 4751600 6725600 8152388 9503200 10190485 14266679 16304776 20380970 28533358 32609552 40761940 50952425 57066716 65219104 71333395 81523880 101904850 114133432 142666790 163047760 203809700 228266864 285333580 326095520 356666975 407619400 456533728 570667160 713333950 815238800 1141334320 1426667900 1630477600 2282668640 2853335800 5706671600 11413343200