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11198901249 = 3217313596577
BaseRepresentation
bin10100110111000000…
…11010110000000001
31001220110201010110100
422123200122300001
5140413404314444
65051131153013
7544343042604
oct123340326001
931813633410
1011198901249
114827540298
1222065a5769
1310961b87b3
1478348833b
1545827ce69
hex29b81ac01

11198901249 has 48 divisors (see below), whose sum is σ = 17732183040. Its totient is φ = 6780119040.

The previous prime is 11198901247. The next prime is 11198901251. The reversal of 11198901249 is 94210989111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11198901247) and next prime (11198901251).

It is not a de Polignac number, because 11198901249 - 21 = 11198901247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11198901247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1699449 + ... + 1706025.

It is an arithmetic number, because the mean of its divisors is an integer number (369420480).

Almost surely, 211198901249 is an apocalyptic number.

It is an amenable number.

11198901249 is a deficient number, since it is larger than the sum of its proper divisors (6533281791).

11198901249 is a wasteful number, since it uses less digits than its factorization.

11198901249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6990 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The spelling of 11198901249 in words is "eleven billion, one hundred ninety-eight million, nine hundred one thousand, two hundred forty-nine".

Divisors: 1 3 9 17 31 51 93 153 279 359 527 1077 1581 3231 4743 6103 6577 11129 18309 19731 33387 54927 59193 100161 111809 189193 203887 335427 567579 611661 1006281 1702737 1834983 2361143 3466079 7083429 10398237 21250287 31194711 40139431 73195433 120418293 219586299 361254879 658758897 1244322361 3732967083 11198901249