Search a number
-
+
33031000100 = 22527160929327
BaseRepresentation
bin11110110000110011…
…010001000000100100
310011020222122122212002
4132300303101000210
51020121414000400
623101344544432
72246352603560
oct366063210044
9104228578762
1033031000100
111301015829a
12649a022118
133165311897
141854c006a0
15cd4c92ed5
hex7b0cd1024

33031000100 has 72 divisors (see below), whose sum is σ = 81970586880. Its totient is φ = 11317489920.

The previous prime is 33031000031. The next prime is 33031000127. The reversal of 33031000100 is 100013033.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1111637 + ... + 1140963.

Almost surely, 233031000100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33031000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40985293440).

33031000100 is an abundant number, since it is smaller than the sum of its proper divisors (48939586780).

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

33031000100 is a wasteful number, since it uses less digits than its factorization.

33031000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30957 (or 30950 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 33031000100 its reverse (100013033), we get a palindrome (33131013133).

The spelling of 33031000100 in words is "thirty-three billion, thirty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1609 3218 6436 8045 11263 16090 22526 29327 32180 40225 45052 56315 58654 80450 112630 117308 146635 160900 205289 225260 281575 293270 410578 563150 586540 733175 821156 1026445 1126300 1466350 2052890 2932700 4105780 5132225 10264450 20528900 47187143 94374286 188748572 235935715 330310001 471871430 660620002 943742860 1179678575 1321240004 1651550005 2359357150 3303100010 4718714300 6606200020 8257750025 16515500050 33031000100