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3114303001131 = 377366115531979
BaseRepresentation
bin101101010100011010111…
…011001001001000101011
3102000201120010112100200110
4231110122323021020223
5402011043032014011
610342405133305403
7441000221510250
oct55243273111053
912021503470613
103114303001131
11aa084a944273
124236a5935263
131978a665a30a
14aaa39785427
15560244b4ba6
hex2d51aec922b

3114303001131 has 64 divisors (see below), whose sum is σ = 4823429022720. Its totient is φ = 1750554685440.

The previous prime is 3114303001129. The next prime is 3114303001141. The reversal of 3114303001131 is 1311003034113.

3114303001131 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 3114303001131 - 21 = 3114303001129 is a prime.

It is a super-2 number, since 2×31143030011312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3114303001098 and 3114303001107.

It is not an unprimeable number, because it can be changed into a prime (3114303001141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1573674100 + ... + 1573676078.

It is an arithmetic number, because the mean of its divisors is an integer number (75366078480).

Almost surely, 23114303001131 is an apocalyptic number.

3114303001131 is a deficient number, since it is larger than the sum of its proper divisors (1709126021589).

3114303001131 is a wasteful number, since it uses less digits than its factorization.

3114303001131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 3114303001131 its reverse (1311003034113), we get a palindrome (4425306035244).

The spelling of 3114303001131 in words is "three trillion, one hundred fourteen billion, three hundred three million, one thousand, one hundred thirty-one".

Divisors: 1 3 7 21 73 219 511 661 1533 1553 1979 1983 4627 4659 5937 10871 13853 13881 32613 41559 48253 113369 144467 144759 337771 340107 433401 793583 1011269 1013313 1026533 1308119 2380749 3033807 3073387 3079599 3924357 7185731 9156833 9220161 21513709 21557193 27470499 64541127 74936909 95492687 224357251 224810727 286478061 524558363 668448809 673071753 1570500757 1573675089 2005346427 2031508807 4711502271 6094526421 14220561649 42661684947 148300142911 444900428733 1038101000377 3114303001131