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11120200192 = 29101359599
BaseRepresentation
bin10100101101101000…
…01100101000000000
31001200222121200220101
422112310030220000
5140233232401232
65035240252144
7542366066503
oct122664145000
931628550811
1011120200192
114797076aa2
1221a4171054
131082ac171a
14776c3d13a
154513d41e7
hex296d0ca00

11120200192 has 80 divisors (see below), whose sum is σ = 22538736000. Its totient is φ = 5480550400.

The previous prime is 11120200177. The next prime is 11120200199. The reversal of 11120200192 is 29100202111.

It is a happy number.

It is a super-3 number, since 3×111202001923 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11120200199) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18564309 + ... + 18564907.

It is an arithmetic number, because the mean of its divisors is an integer number (281734200).

Almost surely, 211120200192 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 11120200192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11269368000).

11120200192 is an abundant number, since it is smaller than the sum of its proper divisors (11418535808).

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

11120200192 is an equidigital number, since it uses as much as digits as its factorization.

11120200192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 11120200192 in words is "eleven billion, one hundred twenty million, two hundred thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 359 404 512 599 718 808 1198 1436 1616 2396 2872 3232 4792 5744 6464 9584 11488 12928 19168 22976 25856 36259 38336 45952 51712 60499 72518 76672 91904 120998 145036 153344 183808 215041 241996 290072 306688 430082 483992 580144 860164 967984 1160288 1720328 1935968 2320576 3440656 3871936 4641152 6881312 7743872 9282304 13762624 15487744 18564608 21719141 27525248 30975488 43438282 55050496 86876564 110100992 173753128 347506256 695012512 1390025024 2780050048 5560100096 11120200192