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1012311001310 = 25722777743947
BaseRepresentation
bin11101011101100100111…
…00000000100011011110
310120202221200202002102112
432232302130000203132
5113041203104020220
62053014345554022
7133065003352100
oct16566234004336
93522850662375
101012311001310
11360356195444
12144238aa5912
13745ca9b06bb
1436dd349d570
151b4ec46a5c5
hexebb27008de

1012311001310 has 48 divisors (see below), whose sum is σ = 2120421420144. Its totient is φ = 346952608128.

The previous prime is 1012311001243. The next prime is 1012311001319. The reversal of 1012311001310 is 131001132101.

It is a happy number.

1012311001310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10123110013102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012311001319) 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, 988757 + ... + 1732703.

It is an arithmetic number, because the mean of its divisors is an integer number (44175446253).

Almost surely, 21012311001310 is an apocalyptic number.

1012311001310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1012311001310 is an abundant number, since it is smaller than the sum of its proper divisors (1108110418834).

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

1012311001310 is a wasteful number, since it uses less digits than its factorization.

1012311001310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746745 (or 746738 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1012311001310 its reverse (131001132101), we get a palindrome (1143312133411).

The spelling of 1012311001310 in words is "one trillion, twelve billion, three hundred eleven million, one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 2777 5554 13885 19439 27770 38878 97195 136073 194390 272146 680365 743947 1360730 1487894 3719735 5207629 7439470 10415258 26038145 36453403 52076290 72906806 182267015 364534030 2065940819 4131881638 10329704095 14461585733 20659408190 28923171466 72307928665 101231100131 144615857330 202462200262 506155500655 1012311001310