Search a number
-
+
31003301142121 = 7113071311531839
BaseRepresentation
bin1110000110010100001001…
…10000000101111001101001
311001202212221100210120122011
413003022010300011321221
513030424230043021441
6145534415300355521
76346625463365260
oct703120460057151
9131685840716564
1031003301142121
119973476270980
1235887929a5ba1
13143b7a25c9c09
147927d3dc95d7
1538b70126b581
hex1c3284c05e69

31003301142121 has 16 divisors (see below), whose sum is σ = 38779373445120. Its totient is φ = 24079724545680.

The previous prime is 31003301142119. The next prime is 31003301142137. The reversal of 31003301142121 is 12124110330013.

It is a cyclic number.

It is not a de Polignac number, because 31003301142121 - 21 = 31003301142119 is a prime.

It is a super-2 number, since 2×310033011421212 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31003301142092 and 31003301142101.

It is not an unprimeable number, because it can be changed into a prime (31003301122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655742281 + ... + 655789558.

It is an arithmetic number, because the mean of its divisors is an integer number (2423710840320).

Almost surely, 231003301142121 is an apocalyptic number.

It is an amenable number.

31003301142121 is a deficient number, since it is larger than the sum of its proper divisors (7776072302999).

31003301142121 is a wasteful number, since it uses less digits than its factorization.

31003301142121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311532164.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 31003301142121 its reverse (12124110330013), we get a palindrome (43127411472134).

The spelling of 31003301142121 in words is "thirty-one trillion, three billion, three hundred one million, one hundred forty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 77 307 2149 3377 23639 1311531839 9180722873 14426850229 100987951603 402640274573 2818481922011 4429043020303 31003301142121