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1121211111104 = 26710324298091
BaseRepresentation
bin10000010100001101011…
…000111101011011000000
310222012001010111212002022
4100110031120331123000
5121332220021023404
62215024405141012
7144001441124420
oct20241530753300
93865033455068
101121211111104
113a2559495787
1216136b3ba768
13819643678a6
143c3a4572480
151e272bee8be
hex1050d63d6c0

1121211111104 has 56 divisors (see below), whose sum is σ = 2567433593088. Its totient is φ = 475853794560.

The previous prime is 1121211111091. The next prime is 1121211111149. The reversal of 1121211111104 is 4011111121211.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×11212111111042 (a number of 25 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 12102902 + ... + 12195189.

It is an arithmetic number, because the mean of its divisors is an integer number (45847028448).

Almost surely, 21121211111104 is an apocalyptic number.

1121211111104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1121211111104 is an abundant number, since it is smaller than the sum of its proper divisors (1446222481984).

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

1121211111104 is a wasteful number, since it uses less digits than its factorization.

1121211111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24298213 (or 24298203 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 1121211111104 its reverse (4011111121211), we get a palindrome (5132322232315).

The spelling of 1121211111104 in words is "one trillion, one hundred twenty-one billion, two hundred eleven million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 206 224 412 448 721 824 1442 1648 2884 3296 5768 6592 11536 23072 46144 24298091 48596182 97192364 170086637 194384728 340173274 388769456 680346548 777538912 1360693096 1555077824 2502703373 2721386192 5005406746 5442772384 10010813492 10885544768 17518923611 20021626984 35037847222 40043253968 70075694444 80086507936 140151388888 160173015872 280302777776 560605555552 1121211111104