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11111101104 = 2438310327077
BaseRepresentation
bin10100101100100010…
…11111001010110000
31001200100111102022010
422112101133022300
5140223420213404
65034313242520
7542225541525
oct122621371260
931610442263
1011111101104
114791a21794
1221a1103440
131080c56c4c
1477595114c
154506d8189
hex29645f2b0

11111101104 has 80 divisors (see below), whose sum is σ = 29332622592. Its totient is φ = 3623418624.

The previous prime is 11111101103. The next prime is 11111101109. The reversal of 11111101104 is 40110111111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 11111101104.

It is not an unprimeable number, because it can be changed into a prime (11111101103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396814 + ... + 423890.

Almost surely, 211111101104 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 11111101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14666311296).

11111101104 is an abundant number, since it is smaller than the sum of its proper divisors (18221521488).

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

11111101104 is a wasteful number, since it uses less digits than its factorization.

11111101104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27274 (or 27268 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11111101104 its reverse (40110111111), we get a palindrome (51221212215).

The spelling of 11111101104 in words is "eleven billion, one hundred eleven million, one hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 103 166 206 249 309 332 412 498 618 664 824 996 1236 1328 1648 1992 2472 3984 4944 8549 17098 25647 27077 34196 51294 54154 68392 81231 102588 108308 136784 162462 205176 216616 324924 410352 433232 649848 1299696 2247391 2788931 4494782 5577862 6742173 8366793 8989564 11155724 13484346 16733586 17979128 22311448 26968692 33467172 35958256 44622896 53937384 66934344 107874768 133868688 231481273 462962546 694443819 925925092 1388887638 1851850184 2777775276 3703700368 5555550552 11111101104