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1121011092 = 2232591393797
BaseRepresentation
bin100001011010001…
…0100010110010100
32220010101021010100
41002310110112110
54243434323332
6303123054100
736531302625
oct10264242624
92803337110
101121011092
11525866253
12273511330
1314b329396
14a8c4ba4c
156863667c
hex42d14594

1121011092 has 72 divisors (see below), whose sum is σ = 2903191200. Its totient is φ = 364598208.

The previous prime is 1121011081. The next prime is 1121011123. The reversal of 1121011092 is 2901101211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293338 + ... + 297134.

It is an arithmetic number, because the mean of its divisors is an integer number (40322100).

Almost surely, 21121011092 is an apocalyptic number.

1121011092 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 1121011092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451595600).

1121011092 is an abundant number, since it is smaller than the sum of its proper divisors (1782180108).

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

1121011092 is a wasteful number, since it uses less digits than its factorization.

1121011092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 1121011092 is about 33481.5037296714. The cubic root of 1121011092 is about 1038.8112316905.

The spelling of 1121011092 in words is "one billion, one hundred twenty-one million, eleven thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 139 177 236 278 354 417 531 556 708 834 1062 1251 1668 2124 2502 3797 5004 7594 8201 11391 15188 16402 22782 24603 32804 34173 45564 49206 68346 73809 98412 136692 147618 224023 295236 448046 527783 672069 896092 1055566 1344138 1583349 2016207 2111132 2688276 3166698 4032414 4750047 6333396 8064828 9500094 19000188 31139197 62278394 93417591 124556788 186835182 280252773 373670364 560505546 1121011092