Search a number
-
+
11200101198 = 231113109119759
BaseRepresentation
bin10100110111001001…
…11111101101001110
31001220112222002110220
422123210333231032
5140414211214243
65051213012210
7544356201156
oct123344775516
931815862426
1011200101198
11482818a890
122206a84066
131096518a20
147836bb766
15458418783
hex29b93fb4e

11200101198 has 64 divisors (see below), whose sum is σ = 26557977600. Its totient is φ = 3104127360.

The previous prime is 11200101193. The next prime is 11200101203. The reversal of 11200101198 is 89110100211.

It is an interprime number because it is at equal distance from previous prime (11200101193) and next prime (11200101203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200101193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33643 + ... + 153401.

It is an arithmetic number, because the mean of its divisors is an integer number (414968400).

Almost surely, 211200101198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200101198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13278988800).

11200101198 is an abundant number, since it is smaller than the sum of its proper divisors (15357876402).

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

11200101198 is a wasteful number, since it uses less digits than its factorization.

11200101198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119897.

The product of its (nonzero) digits is 144, while the sum is 24.

The spelling of 11200101198 in words is "eleven billion, two hundred million, one hundred one thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 109 143 218 286 327 429 654 858 1199 1417 2398 2834 3597 4251 7194 8502 15587 31174 46761 93522 119759 239518 359277 718554 1317349 1556867 2634698 3113734 3952047 4670601 7904094 9341202 13053731 17125537 26107462 34251074 39161193 51376611 78322386 102753222 143591041 169698503 287182082 339397006 430773123 509095509 861546246 1018191018 1866683533 3733367066 5600050599 11200101198