Search a number
-
+
33100132100 = 2252726755129
BaseRepresentation
bin11110110100111010…
…111110111100000100
310011102210201221010112
4132310322332330010
51020242113211400
623112254412152
72251152323600
oct366472767404
9104383657115
1033100132100
1113046186182
1264b9201058
1331767382a9
141860078500
15cdad9b835
hex7b4ebef04

33100132100 has 54 divisors (see below), whose sum is σ = 83554202970. Its totient is φ = 11348615040.

The previous prime is 33100132097. The next prime is 33100132127. The reversal of 33100132100 is 123100133.

It can be written as a sum of positive squares in 3 ways, for example, as 342028036 + 32758104064 = 18494^2 + 180992^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3372665 + ... + 3382464.

It is an arithmetic number, because the mean of its divisors is an integer number (1547300055).

Almost surely, 233100132100 is an apocalyptic number.

It is an amenable number.

33100132100 is an abundant number, since it is smaller than the sum of its proper divisors (50454070870).

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

33100132100 is a wasteful number, since it uses less digits than its factorization.

33100132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755157 (or 6755143 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 33100132100 its reverse (123100133), we get a palindrome (33223232233).

The spelling of 33100132100 in words is "thirty-three billion, one hundred million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 6755129 13510258 27020516 33775645 47285903 67551290 94571806 135102580 168878225 189143612 236429515 331001321 337756450 472859030 662002642 675512900 945718060 1182147575 1324005284 1655006605 2364295150 3310013210 4728590300 6620026420 8275033025 16550066050 33100132100