Search a number
-
+
1121111021112 = 233297134765381
BaseRepresentation
bin10000010100000111011…
…011001001011000111000
310222011210011011202102120
4100110013123021120320
5121332013410133422
62215010432001240
7143666114306025
oct20240733113070
93864704152376
101121111021112
113a2507a42685
12161341990220
13819496c2144
143c39515a54c
151e26902d45c
hex105076c9638

1121111021112 has 128 divisors (see below), whose sum is σ = 2948780505600. Its totient is φ = 354704806400.

The previous prime is 1121111021087. The next prime is 1121111021137. The reversal of 1121111021112 is 2111201111211.

It is an interprime number because it is at equal distance from previous prime (1121111021087) and next prime (1121111021137).

It is a junction number, because it is equal to n+sod(n) for n = 1121111021091 and 1121111021100.

It is a congruent number.

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, 17114662 + ... + 17180042.

It is an arithmetic number, because the mean of its divisors is an integer number (23037347700).

Almost surely, 21121111021112 is an apocalyptic number.

1121111021112 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 1121111021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474390252800).

1121111021112 is an abundant number, since it is smaller than the sum of its proper divisors (1827669484488).

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

1121111021112 is a wasteful number, since it uses less digits than its factorization.

1121111021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65837 (or 65833 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 1121111021112 its reverse (2111201111211), we get a palindrome (3232312132323).

Subtracting 1121111021112 from its reverse (2111201111211), we obtain a palindrome (990090090099).

The spelling of 1121111021112 in words is "one trillion, one hundred twenty-one billion, one hundred eleven million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 71 87 116 142 174 213 232 284 347 348 426 568 694 696 852 1041 1388 1704 2059 2082 2776 4118 4164 6177 8236 8328 10063 12354 16472 20126 24637 24708 30189 40252 49274 49416 60378 65381 73911 80504 98548 120756 130762 147822 196143 197096 241512 261524 295644 392286 523048 591288 714473 784572 1428946 1569144 1896049 2143419 2857892 3792098 4286838 4642051 5688147 5715784 7584196 8573676 9284102 11376294 13926153 15168392 17147352 18568204 22687207 22752588 27852306 37136408 45374414 45505176 55704612 68061621 90748828 111409224 134619479 136123242 181497656 269238958 272246484 403858437 538477916 544492968 657929003 807716874 1076955832 1315858006 1610791697 1615433748 1973787009 2631716012 3221583394 3230867496 3947574018 4832375091 5263432024 6443166788 7895148036 9664750182 12886333576 15790296072 19329500364 38659000728 46712959213 93425918426 140138877639 186851836852 280277755278 373703673704 560555510556 1121111021112