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11111105152 = 27721993239
BaseRepresentation
bin10100101100100011…
…00000001010000000
31001200100111121212001
422112101200022000
5140223420331102
65034313313344
7542225556400
oct122621401200
931610447761
1011111105152
114791a24834
1221a1105854
131080c58a44
14775952800
154506d9487
hex296460280

11111105152 has 96 divisors (see below), whose sum is σ = 27104868000. Its totient is φ = 4511227392.

The previous prime is 11111105147. The next prime is 11111105221. The reversal of 11111105152 is 25150111111.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72549 + ... + 165787.

It is an arithmetic number, because the mean of its divisors is an integer number (282342375).

Almost surely, 211111105152 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 11111105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552434000).

11111105152 is an abundant number, since it is smaller than the sum of its proper divisors (15993762848).

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

11111105152 is an equidigital number, since it uses as much as digits as its factorization.

11111105152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93286 (or 93267 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 19.

Adding to 11111105152 its reverse (25150111111), we get a palindrome (36261216263).

The spelling of 11111105152 in words is "eleven billion, one hundred eleven million, one hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 266 304 392 448 532 608 784 896 931 1064 1216 1568 1862 2128 2432 3136 3724 4256 6272 7448 8512 14896 17024 29792 59584 93239 119168 186478 372956 652673 745912 1305346 1491824 1771541 2610692 2983648 3543082 4568711 5221384 5967296 7086164 9137422 10442768 11934592 12400787 14172328 18274844 20885536 24801574 28344656 36549688 41771072 49603148 56689312 73099376 83542144 86805509 99206296 113378624 146198752 173611018 198412592 226757248 292397504 347222036 396825184 584795008 694444072 793650368 1388888144 1587300736 2777776288 5555552576 11111105152