Search a number
-
+
1020211112322 = 2323710115166817
BaseRepresentation
bin11101101100010010101…
…00100010100110000010
310121112100021012022101200
432312021110202212002
5113203343021043242
62100402320442030
7133464532241523
oct16661124424602
93545307168350
101020211112322
1136373a637806
12145882779316
137528961b6bc
14375427a484a
151b810cd404c
hexed89522982

1020211112322 has 48 divisors (see below), whose sum is σ = 2292676876152. Its totient is φ = 327603225600.

The previous prime is 1020211112321. The next prime is 1020211112419. The reversal of 1020211112322 is 2232111120201.

1020211112322 is a `hidden beast` number, since 1 + 0 + 20 + 211 + 112 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 969892098561 + 50319013761 = 984831^2 + 224319^2 .

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 = 1020211112295 and 1020211112304.

It is not an unprimeable number, because it can be changed into a prime (1020211112321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7516143 + ... + 7650674.

Almost surely, 21020211112322 is an apocalyptic number.

1020211112322 is an abundant number, since it is smaller than the sum of its proper divisors (1272465763830).

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

1020211112322 is a wasteful number, since it uses less digits than its factorization.

1020211112322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15166963 (or 15166960 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1020211112322 its reverse (2232111120201), we get a palindrome (3252322232523).

The spelling of 1020211112322 in words is "one trillion, twenty billion, two hundred eleven million, one hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 101 111 202 222 303 333 606 666 909 1818 3737 7474 11211 22422 33633 67266 15166817 30333634 45500451 91000902 136501353 273002706 561172229 1122344458 1531848517 1683516687 3063697034 3367033374 4595545551 5050550061 9191091102 10101100122 13786636653 27573273306 56678395129 113356790258 170035185387 340070370774 510105556161 1020211112322