Search a number
-
+
1023031110020 = 225372897477209
BaseRepresentation
bin11101110001100010110…
…01111110100110000100
310121210121210112000222212
432320301121332212010
5113230131431010040
62101550215042552
7133624443646253
oct16706131764604
93553553460885
101023031110020
11364957433817
1214632b070458
137561892acaa
143772d11279a
151b92866dd65
hexee3167e984

1023031110020 has 48 divisors (see below), whose sum is σ = 2207195509680. Its totient is φ = 398014377984.

The previous prime is 1023031110007. The next prime is 1023031110037. The reversal of 1023031110020 is 200111303201.

It can be written as a sum of positive squares in 8 ways, for example, as 5970961984 + 1017060148036 = 77272^2 + 1008494^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1023031109977 and 1023031110004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1905176 + ... + 2382384.

It is an arithmetic number, because the mean of its divisors is an integer number (45983239785).

Almost surely, 21023031110020 is an apocalyptic number.

1023031110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023031110020 is an abundant number, since it is smaller than the sum of its proper divisors (1184164399660).

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

1023031110020 is a wasteful number, since it uses less digits than its factorization.

1023031110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480152 (or 480150 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1023031110020 its reverse (200111303201), we get a palindrome (1223142413221).

The spelling of 1023031110020 in words is "one trillion, twenty-three billion, thirty-one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 2897 5794 11588 14485 28970 57940 107189 214378 428756 477209 535945 954418 1071890 1908836 2143780 2386045 4772090 9544180 17656733 35313466 70626932 88283665 176567330 353134660 1382474473 2764948946 5529897892 6912372365 13824744730 27649489460 51151555501 102303111002 204606222004 255757777505 511515555010 1023031110020