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11600010112 = 271719214767
BaseRepresentation
bin10101100110110101…
…00001101110000000
31002221102110120101011
422303122201232000
5142224100310422
65155020250304
7560313313315
oct126332415600
932842416334
1011600010112
114a129a3319
1222b89a0994
13112b327a12
147c085ad0c
1547d5b0077
hex2b36a1b80

11600010112 has 96 divisors (see below), whose sum is σ = 25826130720. Its totient is φ = 5171171328.

The previous prime is 11600010089. The next prime is 11600010113. The reversal of 11600010112 is 21101000611.

It is a junction number, because it is equal to n+sod(n) for n = 11600010092 and 11600010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11600010113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 778153 + ... + 792919.

It is an arithmetic number, because the mean of its divisors is an integer number (269022195).

Almost surely, 211600010112 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 11600010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12913065360).

11600010112 is an abundant number, since it is smaller than the sum of its proper divisors (14226120608).

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

11600010112 is a wasteful number, since it uses less digits than its factorization.

11600010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14836 (or 14805 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11600010112 its reverse (21101000611), we get a palindrome (32701010723).

The spelling of 11600010112 in words is "eleven billion, six hundred million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 272 304 323 361 544 608 646 722 1088 1216 1292 1444 2176 2432 2584 2888 5168 5776 6137 10336 11552 12274 14767 20672 23104 24548 29534 41344 46208 49096 59068 98192 118136 196384 236272 251039 280573 392768 472544 502078 561146 785536 945088 1004156 1122292 1890176 2008312 2244584 4016624 4489168 4769741 5330887 8033248 8978336 9539482 10661774 16066496 17956672 19078964 21323548 32132992 35913344 38157928 42647096 76315856 85294192 90625079 152631712 170588384 181250158 305263424 341176768 362500316 610526848 682353536 725000632 1450001264 2900002528 5800005056 11600010112