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1000111211112 = 233138344387179
BaseRepresentation
bin11101000110110110100…
…01100000001001101000
310112121110110200112110010
432203123101200021220
5112341211432223422
62043240022051520
7132153455013456
oct16433321401150
93477413615403
101000111211112
11356165784502
121419b3279ba0
1373405336230
14365971159d6
151b0363d2b0c
hexe8db460268

1000111211112 has 128 divisors (see below), whose sum is σ = 2731230835200. Its totient is φ = 303329225472.

The previous prime is 1000111211093. The next prime is 1000111211117. The reversal of 1000111211112 is 2111121110001.

It is a super-2 number, since 2×10001112111122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1000111211117) by changing a digit.

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, 11428339 + ... + 11515517.

It is an arithmetic number, because the mean of its divisors is an integer number (21337740900).

Almost surely, 21000111211112 is an apocalyptic number.

1000111211112 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 1000111211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365615417600).

1000111211112 is an abundant number, since it is smaller than the sum of its proper divisors (1731119624088).

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

1000111211112 is a wasteful number, since it uses less digits than its factorization.

1000111211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87727 (or 87723 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1000111211112 its reverse (2111121110001), we get a palindrome (3111232321113).

The spelling of 1000111211112 in words is "one trillion, one hundred eleven million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 249 312 332 443 498 664 886 996 1079 1329 1772 1992 2158 2658 3237 3544 4316 5316 5759 6474 8632 10632 11518 12948 17277 23036 25896 34554 36769 46072 69108 73538 87179 110307 138216 147076 174358 220614 261537 294152 348716 441228 477997 523074 697432 882456 955994 1046148 1133327 1433991 1911988 2092296 2266654 2867982 3399981 3823976 4533308 5735964 6799962 7235857 9066616 11471928 13599924 14471714 21707571 27199848 28943428 38620297 43415142 57886856 77240594 86830284 94066141 115860891 154481188 173660568 188132282 231721782 282198423 308962376 376264564 463443564 502063861 564396846 752529128 926887128 1004127722 1128793692 1506191583 2008255444 2257587384 3012383166 3205484651 4016510888 6024766332 6410969302 9616453953 12049532664 12821938604 19232907906 25643877208 38465815812 41671300463 76931631624 83342600926 125013901389 166685201852 250027802778 333370403704 500055605556 1000111211112