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11002001112 = 2332172737243
BaseRepresentation
bin10100011111100010…
…10011011011011000
31001101202012120020200
422033301103123120
5140013003013422
65015415022200
7536432315664
oct121761233330
931352176220
1011002001112
114736385303
12217066a960
13106447843b
147652718a4
15445d372ac
hex28fc536d8

11002001112 has 144 divisors (see below), whose sum is σ = 32090992440. Its totient is φ = 3403855872.

The previous prime is 11002001111. The next prime is 11002001141. The reversal of 11002001112 is 21110020011.

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 = 11002001094 and 11002001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002001111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1515363 + ... + 1522605.

Almost surely, 211002001112 is an apocalyptic number.

11002001112 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 11002001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045496220).

11002001112 is an abundant number, since it is smaller than the sum of its proper divisors (21088991328).

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

11002001112 is a wasteful number, since it uses less digits than its factorization.

11002001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7362 (or 7338 counting only the distinct ones).

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

Adding to 11002001112 its reverse (21110020011), we get a palindrome (32112021123).

The spelling of 11002001112 in words is "eleven billion, two million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 73 102 136 146 153 204 219 289 292 306 408 438 578 584 612 657 867 876 1156 1224 1241 1314 1734 1752 2312 2482 2601 2628 3468 3723 4964 5202 5256 6936 7243 7446 9928 10404 11169 14486 14892 20808 21097 21729 22338 28972 29784 42194 43458 44676 57944 63291 65187 84388 86916 89352 123131 126582 130374 168776 173832 189873 246262 253164 260748 369393 379746 492524 506328 521496 528739 738786 759492 985048 1057478 1108179 1477572 1518984 1586217 2093227 2114956 2216358 2955144 3172434 4186454 4229912 4432716 4758651 6279681 6344868 8372908 8865432 8988563 9517302 12559362 12689736 16745816 17977126 18839043 19034604 25118724 26965689 35954252 37678086 38069208 50237448 53931378 71908504 75356172 80897067 107862756 150712344 152805571 161794134 215725512 305611142 323588268 458416713 611222284 647176536 916833426 1222444568 1375250139 1833666852 2750500278 3667333704 5501000556 11002001112