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1000112202111 = 3112910110347023
BaseRepresentation
bin11101000110110110101…
…01010010000101111111
310112121110112112212211210
432203123111102011333
5112341212210431421
62043240055215503
7132153466311621
oct16433325220577
93477415485753
101000112202111
113561662a1010
121419b3677593
13734055c2319
14365972d2c11
151b03652b576
hexe8db55217f

1000112202111 has 32 divisors (see below), whose sum is σ = 1519770885120. Its totient is φ = 579433232000.

The previous prime is 1000112202101. The next prime is 1000112202161. The reversal of 1000112202111 is 1112022110001.

It is a cyclic number.

It is not a de Polignac number, because 1000112202111 - 210 = 1000112201087 is a prime.

It is a super-2 number, since 2×10001122021112 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000112202101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5076855 + ... + 5270168.

It is an arithmetic number, because the mean of its divisors is an integer number (47492840160).

Almost surely, 21000112202111 is an apocalyptic number.

1000112202111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000112202111 is a deficient number, since it is larger than the sum of its proper divisors (519658683009).

1000112202111 is a wasteful number, since it uses less digits than its factorization.

1000112202111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10347167.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1000112202111 its reverse (1112022110001), we get a palindrome (2112134312112).

The spelling of 1000112202111 in words is "one trillion, one hundred twelve million, two hundred two thousand, one hundred eleven".

Divisors: 1 3 11 29 33 87 101 303 319 957 1111 2929 3333 8787 32219 96657 10347023 31041069 113817253 300063667 341451759 900191001 1045049323 3135147969 3300700337 9902101011 11495542553 30306430367 34486627659 90919291101 333370734037 1000112202111