Search a number
-
+
31231132002033 = 3291013554242859
BaseRepresentation
bin1110001100111100100001…
…00001110110011011110001
311002120200000021202102200220
413012132100201312123301
513043142324243031113
6150231214534403253
76402242364631455
oct706362041663361
9132520007672626
1031231132002033
119a51059904047
123604976b00529
131457110796022
1479d8483cc665
153925d7b96523
hex1c67908766f1

31231132002033 has 16 divisors (see below), whose sum is σ = 43503932606400. Its totient is φ = 19903760004800.

The previous prime is 31231132002013. The next prime is 31231132002047. The reversal of 31231132002033 is 33020023113213.

It is a cyclic number.

It is not a de Polignac number, because 31231132002033 - 216 = 31231131936497 is a prime.

It is a super-2 number, since 2×312311320020332 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31231132001994 and 31231132002012.

It is not an unprimeable number, because it can be changed into a prime (31231132002013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1777112643 + ... + 1777130216.

It is an arithmetic number, because the mean of its divisors is an integer number (2718995787900).

Almost surely, 231231132002033 is an apocalyptic number.

It is an amenable number.

31231132002033 is a deficient number, since it is larger than the sum of its proper divisors (12272800604367).

31231132002033 is a wasteful number, since it uses less digits than its factorization.

31231132002033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554242992.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 31231132002033 its reverse (33020023113213), we get a palindrome (64251155115246).

The spelling of 31231132002033 in words is "thirty-one trillion, two hundred thirty-one billion, one hundred thirty-two million, two thousand, thirty-three".

Divisors: 1 3 29 87 101 303 2929 8787 3554242859 10662728577 103073042911 309219128733 358978528759 1076935586277 10410377334011 31231132002033