Search a number
-
+
33457001031 = 32127285110267
BaseRepresentation
bin11111001010001100…
…010101001001000111
310012100200020202021100
4133022030111021013
51022004443013111
623211523351143
72263044550026
oct371214251107
9105320222240
1033457001031
1113209672083
1265988224b3
133202657b3c
1418956128bd
15d0c390756
hex7ca315247

33457001031 has 24 divisors (see below), whose sum is σ = 48729135104. Its totient is φ = 22119123600.

The previous prime is 33457001009. The next prime is 33457001093. The reversal of 33457001031 is 13010075433.

It is not a de Polignac number, because 33457001031 - 27 = 33457000903 is a prime.

It is a super-2 number, since 2×334570010312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33457000986 and 33457001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33457001731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3253560 + ... + 3263826.

Almost surely, 233457001031 is an apocalyptic number.

33457001031 is a deficient number, since it is larger than the sum of its proper divisors (15272134073).

33457001031 is a wasteful number, since it uses less digits than its factorization.

33457001031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13251 (or 13248 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

Adding to 33457001031 its reverse (13010075433), we get a palindrome (46467076464).

The spelling of 33457001031 in words is "thirty-three billion, four hundred fifty-seven million, one thousand, thirty-one".

Divisors: 1 3 9 127 381 1143 2851 8553 10267 25659 30801 92403 362077 1086231 1303909 3258693 3911727 11735181 29271217 87813651 263440953 3717444559 11152333677 33457001031