Search a number
-
+
33102100 = 2252477043
BaseRepresentation
bin111111001000…
…1100100010100
32022021202112201
41332101210110
531433231400
63141254244
7551235403
oct176214424
968252481
1033102100
111775a109
12b104384
136b1cc55
14457963a
152d8d06a
hex1f91914

33102100 has 36 divisors (see below), whose sum is σ = 73370304. Its totient is φ = 12957280.

The previous prime is 33102089. The next prime is 33102103. The reversal of 33102100 is 120133.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33102103) 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, 1179 + ... + 8221.

It is an arithmetic number, because the mean of its divisors is an integer number (2038064).

Almost surely, 233102100 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 33102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36685152).

33102100 is an abundant number, since it is smaller than the sum of its proper divisors (40268204).

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

33102100 is a wasteful number, since it uses less digits than its factorization.

33102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7104 (or 7097 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 33102100 is about 5753.4424477872. The cubic root of 33102100 is about 321.0838896566.

Adding to 33102100 its reverse (120133), we get a palindrome (33222233).

The spelling of 33102100 in words is "thirty-three million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 4700 7043 14086 28172 35215 70430 140860 176075 331021 352150 662042 704300 1324084 1655105 3310210 6620420 8275525 16551050 33102100