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1130001223122 = 2322941101522761
BaseRepresentation
bin10000011100011001010…
…100100100110111010010
311000000201201122210220200
4100130121110210313102
5122003220303114442
62223040531520030
7144432324626232
oct20343124446722
94000651583820
101130001223122
113a625a25aa72
12163003159016
13827354aacc5
143c999b4dcc2
151e5d976c34c
hex10719524dd2

1130001223122 has 96 divisors (see below), whose sum is σ = 2620229517360. Its totient is φ = 351294720000.

The previous prime is 1130001223069. The next prime is 1130001223171. The reversal of 1130001223122 is 2213221000311.

It can be written as a sum of positive squares in 8 ways, for example, as 745785960921 + 384215262201 = 863589^2 + 619851^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1130001223095 and 1130001223104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900222 + ... + 2422982.

Almost surely, 21130001223122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130001223122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310114758680).

1130001223122 is an abundant number, since it is smaller than the sum of its proper divisors (1490228294238).

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

1130001223122 is a wasteful number, since it uses less digits than its factorization.

1130001223122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522940 (or 522937 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1130001223122 its reverse (2213221000311), we get a palindrome (3343222223433).

The spelling of 1130001223122 in words is "one trillion, one hundred thirty billion, one million, two hundred twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 101 123 174 202 246 261 303 369 522 606 738 909 1189 1818 2378 2929 3567 4141 5858 7134 8282 8787 10701 12423 17574 21402 24846 26361 37269 52722 74538 120089 240178 360267 522761 720534 1045522 1080801 1568283 2161602 3136566 4704849 9409698 15160069 21433201 30320138 42866402 45480207 52798861 64299603 90960414 105597722 128599206 136440621 158396583 192898809 272881242 316793166 385797618 475189749 621562829 950379498 1243125658 1531166969 1864688487 2164753301 3062333938 3729376974 4329506602 4593500907 5594065461 6494259903 9187001814 11188130922 12988519806 13780502721 19482779709 27561005442 38965559418 62777845729 125555691458 188333537187 376667074374 565000611561 1130001223122