Search a number
-
+
10220311301113 = 411931427330211
BaseRepresentation
bin1001010010111001101000…
…0001100100101111111001
31100012001102001210221102101
42110232122001210233321
52314422144143113423
633423051324503401
72103251561453524
oct224563201445771
940161361727371
1010220311301113
113290456317391
1211909216aab61
13591a044a8c64
142749469abbbb
1512acc16257ad
hex94b9a064bf9

10220311301113 has 16 divisors (see below), whose sum is σ = 10477807284672. Its totient is φ = 9963209664000.

The previous prime is 10220311301111. The next prime is 10220311301117. The reversal of 10220311301113 is 31110311302201.

10220311301113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10220311301113 - 21 = 10220311301111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10220311301111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338282578 + ... + 338312788.

It is an arithmetic number, because the mean of its divisors is an integer number (654862955292).

Almost surely, 210220311301113 is an apocalyptic number.

It is an amenable number.

10220311301113 is a deficient number, since it is larger than the sum of its proper divisors (257495983559).

10220311301113 is a wasteful number, since it uses less digits than its factorization.

10220311301113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36456.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10220311301113 its reverse (31110311302201), we get a palindrome (41330622603314).

The spelling of 10220311301113 in words is "ten trillion, two hundred twenty billion, three hundred eleven million, three hundred one thousand, one hundred thirteen".

Divisors: 1 41 1931 4273 30211 79171 175193 1238651 8251163 58337441 129091603 338297683 2391835081 5292755723 249275885393 10220311301113