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11200320032 = 2511197012389
BaseRepresentation
bin10100110111001011…
…10101001000100000
31001220120101012122212
422123211311020200
5140414240220112
65051221421252
7544361102156
oct123345651040
931816335585
1011200320032
11482831a240
122206b6a828
131096594505
147837373d6
1545845d522
hex29b975220

11200320032 has 96 divisors (see below), whose sum is σ = 25368033600. Its totient is φ = 4814208000.

The previous prime is 11200320011. The next prime is 11200320067. The reversal of 11200320032 is 23002300211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11200319989 and 11200320016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4687094 + ... + 4689482.

It is an arithmetic number, because the mean of its divisors is an integer number (264250350).

Almost surely, 211200320032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12684016800).

11200320032 is an abundant number, since it is smaller than the sum of its proper divisors (14167713568).

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

11200320032 is a wasteful number, since it uses less digits than its factorization.

11200320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 11200320032 its reverse (23002300211), we get a palindrome (34202620243).

The spelling of 11200320032 in words is "eleven billion, two hundred million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 701 836 1402 1672 2389 2804 3344 4778 5608 6688 7711 9556 11216 13319 15422 19112 22432 26279 26638 30844 38224 45391 52558 53276 61688 76448 90782 105116 106552 123376 146509 181564 210232 213104 246752 293018 363128 420464 426208 499301 586036 726256 840928 998602 1172072 1452512 1674689 1997204 2344144 3349378 3994408 4688288 6698756 7988816 13397512 15977632 18421579 26795024 31819091 36843158 53590048 63638182 73686316 127276364 147372632 254552728 294745264 350010001 509105456 589490528 700020002 1018210912 1400040004 2800080008 5600160016 11200320032