Search a number
-
+
1023110220301 = 13229208755401
BaseRepresentation
bin11101110001101100001…
…11110000101000001101
310121210211022101020220021
432320312013300220031
5113230312204022201
62102002122422141
7133626424245421
oct16706607605015
93553738336807
101023110220301
11364998057514
12146351661951
137562c139400
1437739826b81
151b930598ea1
hexee361f0a0d

1023110220301 has 12 divisors (see below), whose sum is σ = 1146067156980. Its totient is φ = 911843587200.

The previous prime is 1023110220271. The next prime is 1023110220331. The reversal of 1023110220301 is 1030220113201.

1023110220301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1023110220271) and next prime (1023110220331).

It can be written as a sum of positive squares in 6 ways, for example, as 23210217801 + 999900002500 = 152349^2 + 999950^2 .

It is not a de Polignac number, because 1023110220301 - 219 = 1023109696013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023110220331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104372800 + ... + 104382601.

It is an arithmetic number, because the mean of its divisors is an integer number (95505596415).

Almost surely, 21023110220301 is an apocalyptic number.

It is an amenable number.

1023110220301 is a deficient number, since it is larger than the sum of its proper divisors (122956936679).

1023110220301 is a wasteful number, since it uses less digits than its factorization.

1023110220301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208755456 (or 208755443 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1023110220301 its reverse (1030220113201), we get a palindrome (2053330333502).

The spelling of 1023110220301 in words is "one trillion, twenty-three billion, one hundred ten million, two hundred twenty thousand, three hundred one".

Divisors: 1 13 29 169 377 4901 208755401 2713820213 6053906629 35279662769 78700786177 1023110220301