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111002000112 = 24327359317807
BaseRepresentation
bin110011101100000111…
…1000001101011110000
3101121111220211212010100
41213120033001223300
53304313003000422
6122554342032400
711006506301403
oct1473017015360
9347456755110
10111002000112
114309180a683
121961a418700
13a60cc87593
1455302d1d3a
152d4a0717ac
hex19d83c1af0

111002000112 has 120 divisors (see below), whose sum is σ = 315455684544. Its totient is φ = 36430221312.

The previous prime is 111002000093. The next prime is 111002000141. The reversal of 111002000112 is 211000200111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111002000094 and 111002000103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6224713 + ... + 6242519.

Almost surely, 2111002000112 is an apocalyptic number.

111002000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111002000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157727842272).

111002000112 is an abundant number, since it is smaller than the sum of its proper divisors (204453684432).

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

111002000112 is a wasteful number, since it uses less digits than its factorization.

111002000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18487 (or 18478 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111002000112 its reverse (211000200111), we get a palindrome (322002200223).

The spelling of 111002000112 in words is "one hundred eleven billion, two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 593 657 876 1168 1186 1314 1752 1779 2372 2628 3504 3558 4744 5256 5337 7116 9488 10512 10674 14232 17807 21348 28464 35614 42696 43289 53421 71228 85392 86578 106842 129867 142456 160263 173156 213684 259734 284912 320526 346312 389601 427368 519468 641052 692624 779202 854736 1038936 1282104 1299911 1558404 2077872 2564208 2599822 3116808 3899733 5199644 6233616 7799466 10399288 10559551 11699199 15598932 20798576 21119102 23398398 31197864 31678653 42238204 46796796 62395728 63357306 84476408 93593592 95035959 126714612 168952816 187187184 190071918 253429224 380143836 506858448 760287672 770847223 1520575344 1541694446 2312541669 3083388892 4625083338 6166777784 6937625007 9250166676 12333555568 13875250014 18500333352 27750500028 37000666704 55501000056 111002000112