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33141142221 = 31123711016089
BaseRepresentation
bin11110110111010111…
…011011001011001101
310011112122220110102220
4132313113123023031
51020333113022341
623120321405553
72252161026615
oct366727331315
9104478813386
1033141142221
1113067346740
12650aa998b9
133182096835
1418656b1a45
15cde79ca66
hex7b75db2cd

33141142221 has 64 divisors (see below), whose sum is σ = 51523153920. Its totient is φ = 18751040000.

The previous prime is 33141142211. The next prime is 33141142231. The reversal of 33141142221 is 12224114133.

It is an interprime number because it is at equal distance from previous prime (33141142211) and next prime (33141142231).

It is not a de Polignac number, because 33141142221 - 25 = 33141142189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33141142191 and 33141142200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33141142211) 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 63 ways as a sum of consecutive naturals, for example, 5439745 + ... + 5445833.

It is an arithmetic number, because the mean of its divisors is an integer number (805049280).

Almost surely, 233141142221 is an apocalyptic number.

It is an amenable number.

33141142221 is a deficient number, since it is larger than the sum of its proper divisors (18382011699).

33141142221 is a wasteful number, since it uses less digits than its factorization.

33141142221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6298.

The product of its digits is 1152, while the sum is 24.

Adding to 33141142221 its reverse (12224114133), we get a palindrome (45365256354).

The spelling of 33141142221 in words is "thirty-three billion, one hundred forty-one million, one hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 3 11 23 33 69 71 101 213 253 303 759 781 1111 1633 2323 2343 3333 4899 6089 6969 7171 17963 18267 21513 25553 53889 66979 76659 78881 140047 164933 200937 236643 420141 432319 494799 614989 1296957 1540517 1814263 1844967 4621551 4755509 5442789 6764879 9943337 14144747 14266527 20294637 29830011 42434241 43664219 109376707 130992657 155592217 328130121 466776651 480306409 1004277037 1440919227 3012831111 11047047407 33141142221