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33001001131 = 724481150299
BaseRepresentation
bin11110101111000000…
…110101000010101011
310011011220012120000011
4132233000311002223
51020041224014011
623054353552351
72245536611200
oct365700650253
9104156176004
1033001001131
1112aa522865a
12648bb756b7
13315c03a207
141850c31ca7
15cd2319621
hex7af0350ab

33001001131 has 12 divisors (see below), whose sum is σ = 38397742200. Its totient is φ = 28280071680.

The previous prime is 33001001129. The next prime is 33001001141. The reversal of 33001001131 is 13110010033.

It is a happy number.

It is not a de Polignac number, because 33001001131 - 21 = 33001001129 is a prime.

It is a super-3 number, since 3×330010011313 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33001001101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144420 + ... + 294718.

It is an arithmetic number, because the mean of its divisors is an integer number (3199811850).

Almost surely, 233001001131 is an apocalyptic number.

33001001131 is a deficient number, since it is larger than the sum of its proper divisors (5396741069).

33001001131 is a wasteful number, since it uses less digits than its factorization.

33001001131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154794 (or 154787 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 33001001131 its reverse (13110010033), we get a palindrome (46111011164).

The spelling of 33001001131 in words is "thirty-three billion, one million, one thousand, one hundred thirty-one".

Divisors: 1 7 49 4481 31367 150299 219569 1052093 7364651 673489819 4714428733 33001001131