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11213501100 = 22352257145441
BaseRepresentation
bin10100111000110000…
…00111001010101100
31001221111011212200120
422130120013022230
5140431124013400
65052412124540
7544611121014
oct123430071254
931844155616
1011213501100
11483480238a
12220b466750
13109922ac69
147853a8c44
154596b3ca0
hex29c6072ac

11213501100 has 72 divisors (see below), whose sum is σ = 32570863248. Its totient is φ = 2978611200.

The previous prime is 11213501093. The next prime is 11213501207. The reversal of 11213501100 is 110531211.

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 11213501100.

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, 4380 + ... + 149820.

Almost surely, 211213501100 is an apocalyptic number.

11213501100 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 11213501100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16285431624).

11213501100 is an abundant number, since it is smaller than the sum of its proper divisors (21357362148).

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

11213501100 is a wasteful number, since it uses less digits than its factorization.

11213501100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145715 (or 145708 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The spelling of 11213501100 in words is "eleven billion, two hundred thirteen million, five hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 257 300 514 771 1028 1285 1542 2570 3084 3855 5140 6425 7710 12850 15420 19275 25700 38550 77100 145441 290882 436323 581764 727205 872646 1454410 1745292 2181615 2908820 3636025 4363230 7272050 8726460 10908075 14544100 21816150 37378337 43632300 74756674 112135011 149513348 186891685 224270022 373783370 448540044 560675055 747566740 934458425 1121350110 1868916850 2242700220 2803375275 3737833700 5606750550 11213501100