Search a number
-
+
3101221121031 = 3211312274451537
BaseRepresentation
bin101101001000001111001…
…011101110110000000111
3101222110210102122222211200
4231020033023232300013
5401302300101333111
610332403055233543
7440025102406155
oct55101713566007
911873712588750
103101221121031
11a96247524110
124210548188b3
131965a031a567
14aa1581c43d5
1555a0ac8c256
hex2d20f2eec07

3101221121031 has 48 divisors (see below), whose sum is σ = 5066633714688. Its totient is φ = 1810884844800.

The previous prime is 3101221121027. The next prime is 3101221121039. The reversal of 3101221121031 is 1301211221013.

3101221121031 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 3101221121031 - 22 = 3101221121027 is a prime.

It is a super-2 number, since 2×31012211210312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3101221120995 and 3101221121013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101221121039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1529106 + ... + 2922431.

It is an arithmetic number, because the mean of its divisors is an integer number (105554869056).

Almost surely, 23101221121031 is an apocalyptic number.

3101221121031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3101221121031 is a deficient number, since it is larger than the sum of its proper divisors (1965412593657).

3101221121031 is a wasteful number, since it uses less digits than its factorization.

3101221121031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451812 (or 4451809 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 3101221121031 its reverse (1301211221013), we get a palindrome (4402432342044).

The spelling of 3101221121031 in words is "three trillion, one hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand, thirty-one".

Divisors: 1 3 9 11 31 33 93 99 227 279 341 681 1023 2043 2497 3069 7037 7491 21111 22473 63333 77407 232221 696663 4451537 13354611 40063833 48966907 137997647 146900721 413992941 440702163 1010498899 1241978823 1517974117 3031496697 4553922351 9094490091 11115487889 13661767053 31325465869 33346463667 93976397607 100039391001 281929192821 344580124559 1033740373677 3101221121031