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11213023200 = 2535217274829
BaseRepresentation
bin10100111000101100…
…10010011111100000
31001221110021121010120
422130112102133200
5140431013220300
65052354000240
7544604060511
oct123426223740
931843247116
1011213023200
114834506325
12220b276080
1310990c1592
147852c2a08
1545961c3a0
hex29c5927e0

11213023200 has 144 divisors (see below), whose sum is σ = 38645495280. Its totient is φ = 2814238720.

The previous prime is 11213023177. The next prime is 11213023201. The reversal of 11213023200 is 232031211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11213023200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213023201) 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, 96615 + ... + 178214.

It is an arithmetic number, because the mean of its divisors is an integer number (268371495).

Almost surely, 211213023200 is an apocalyptic number.

11213023200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11213023200 is an abundant number, since it is smaller than the sum of its proper divisors (27432472080).

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

11213023200 is a wasteful number, since it uses less digits than its factorization.

11213023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274869 (or 274856 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11213023200 its reverse (232031211), we get a palindrome (11445054411).

The spelling of 11213023200 in words is "eleven billion, two hundred thirteen million, twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 136 150 160 170 200 204 240 255 272 300 340 400 408 425 480 510 544 600 680 800 816 850 1020 1200 1275 1360 1632 1700 2040 2400 2550 2720 3400 4080 5100 6800 8160 10200 13600 20400 40800 274829 549658 824487 1099316 1374145 1648974 2198632 2748290 3297948 4122435 4397264 4672093 5496580 6595896 6870725 8244870 8794528 9344186 10993160 13191792 13741450 14016279 16489740 18688372 20612175 21986320 23360465 26383584 27482900 28032558 32979480 37376744 41224350 43972640 46720930 54965800 56065116 65958960 70081395 74753488 82448700 93441860 109931600 112130232 116802325 131917920 140162790 149506976 164897400 186883720 219863200 224260464 233604650 280325580 329794800 350406975 373767440 448520928 467209300 560651160 659589600 700813950 747534880 934418600 1121302320 1401627900 1868837200 2242604640 2803255800 3737674400 5606511600 11213023200