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101000011112 = 237111322435623
BaseRepresentation
bin101111000010000010…
…0011101110101101000
3100122200212100011121022
41132010010131311220
53123322000323422
6114222044432012
710203605633540
oct1360404356550
9318625304538
10101000011112
1139919967270
12176a8848608
1396a7a519b0
144c61bb2320
152961e1e342
hex178411dd68

101000011112 has 128 divisors (see below), whose sum is σ = 254424360960. Its totient is φ = 36301029120.

The previous prime is 101000011109. The next prime is 101000011127. The reversal of 101000011112 is 211110000101.

It is a happy number.

101000011112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101000011112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17959133 + ... + 17964755.

It is an arithmetic number, because the mean of its divisors is an integer number (1987690320).

Almost surely, 2101000011112 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 101000011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127212180480).

101000011112 is an abundant number, since it is smaller than the sum of its proper divisors (153424349848).

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

101000011112 is a wasteful number, since it uses less digits than its factorization.

101000011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7903 (or 7899 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101000011112 its reverse (211110000101), we get a palindrome (312110011213).

The spelling of 101000011112 in words is "one hundred one billion, eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 2243 4004 4486 5623 8008 8972 11246 15701 17944 22492 24673 29159 31402 39361 44984 49346 58318 61853 62804 73099 78722 98692 116636 123706 125608 146198 157444 172711 197384 204113 233272 247412 292396 314888 320749 345422 408226 432971 494824 511693 584792 641498 690844 804089 816452 865942 1023386 1282996 1381688 1608178 1632904 1731884 2046772 2245243 2565992 3216356 3463768 4093544 4490486 5628623 6432712 8980972 11257246 12612389 17961944 22514492 25224778 45028984 50449556 88286723 100899112 138736279 163961057 176573446 277472558 327922114 353146892 554945116 655844228 706293784 971153953 1109890232 1147727399 1311688456 1803571627 1942307906 2295454798 3607143254 3884615812 4590909596 7214286508 7769231624 9181819192 12625001389 14428573016 25250002778 50500005556 101000011112