Search a number
-
+
1022313030221 = 72192414556351
BaseRepresentation
bin11101110000001101001…
…10101110001001001101
310121201202202022210200202
432320012212232021031
5113222144113431341
62101351044103245
7133600604244200
oct16700646561115
93551682283622
101022313030221
1136461906583a
1214616a694b25
1375532c2b4c2
14376a19cd937
151b8d55c979b
hexee069ae24d

1022313030221 has 24 divisors (see below), whose sum is σ = 1257006389760. Its totient is φ = 826704144000.

The previous prime is 1022313030181. The next prime is 1022313030227. The reversal of 1022313030221 is 1220303132201.

1022313030221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1022313030221 - 26 = 1022313030157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022313030193 and 1022313030202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022313030227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2053805 + ... + 2502546.

It is an arithmetic number, because the mean of its divisors is an integer number (52375266240).

Almost surely, 21022313030221 is an apocalyptic number.

It is an amenable number.

1022313030221 is a deficient number, since it is larger than the sum of its proper divisors (234693359539).

1022313030221 is a wasteful number, since it uses less digits than its factorization.

1022313030221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556625 (or 4556618 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1022313030221 its reverse (1220303132201), we get a palindrome (2242616162422).

The spelling of 1022313030221 in words is "one trillion, twenty-two billion, three hundred thirteen million, thirty thousand, two hundred twenty-one".

Divisors: 1 7 19 49 133 241 931 1687 4579 11809 32053 224371 4556351 31894457 86570669 223261199 605994683 1098080591 4241962781 7686564137 20863531229 53805948959 146044718603 1022313030221