Search a number
-
+
33124101140 = 22513710917921
BaseRepresentation
bin11110110110010110…
…011010110000010100
310011111110211200110202
4132312112122300110
51020314232214030
623114512240032
72251563133304
oct366626326024
9104443750422
1033124101140
11130587674a9
126505240018
13317b6ab160
141863317604
15cdd033745
hex7b659ac14

33124101140 has 48 divisors (see below), whose sum is σ = 74926146960. Its totient is φ = 12228034560.

The previous prime is 33124101133. The next prime is 33124101151. The reversal of 33124101140 is 4110142133.

It can be written as a sum of positive squares in 8 ways, for example, as 17026074256 + 16098026884 = 130484^2 + 126878^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1839380 + ... + 1857300.

It is an arithmetic number, because the mean of its divisors is an integer number (1560961395).

Almost surely, 233124101140 is an apocalyptic number.

It is an amenable number.

33124101140 is an abundant number, since it is smaller than the sum of its proper divisors (41802045820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33124101140 is a wasteful number, since it uses less digits than its factorization.

33124101140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25052 (or 25050 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 33124101140 its reverse (4110142133), we get a palindrome (37234243273).

The spelling of 33124101140 in words is "thirty-three billion, one hundred twenty-four million, one hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 7109 14218 17921 28436 35545 35842 71090 71684 89605 92417 142180 179210 184834 232973 358420 369668 462085 465946 924170 931892 1164865 1848340 2329730 4659460 127400389 254800778 509601556 637001945 1274003890 1656205057 2548007780 3312410114 6624820228 8281025285 16562050570 33124101140