Search a number
-
+
33011100420 = 22351679533457
BaseRepresentation
bin11110101111100111…
…010110101100000100
310011012121012122121220
4132233213112230010
51020101320203140
623055354240340
72246021503164
oct365747265404
9104177178556
1033011100420
1112aaa9a6381
1264934260b0
13316116501c
1418523005a4
15cd3161bd0
hex7af9d6b04

33011100420 has 96 divisors (see below), whose sum is σ = 93109056768. Its totient is φ = 8738537472.

The previous prime is 33011100407. The next prime is 33011100427. The reversal of 33011100420 is 2400111033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 33011100420.

It is not an unprimeable number, because it can be changed into a prime (33011100427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9547332 + ... + 9550788.

It is an arithmetic number, because the mean of its divisors is an integer number (969886008).

Almost surely, 233011100420 is an apocalyptic number.

33011100420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33011100420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46554528384).

33011100420 is an abundant number, since it is smaller than the sum of its proper divisors (60097956348).

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

33011100420 is a wasteful number, since it uses less digits than its factorization.

33011100420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 33011100420 its reverse (2400111033), we get a palindrome (35411211453).

The spelling of 33011100420 in words is "thirty-three billion, eleven million, one hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 953 1002 1670 1906 2004 2505 2859 3340 3457 3812 4765 5010 5718 6914 9530 10020 10371 11436 13828 14295 17285 19060 20742 28590 34570 41484 51855 57180 69140 103710 159151 207420 318302 477453 577319 636604 795755 954906 1154638 1591510 1731957 1909812 2309276 2387265 2886595 3183020 3294521 3463914 4774530 5773190 6589042 6927828 8659785 9549060 9883563 11546380 13178084 16472605 17319570 19767126 32945210 34639140 39534252 49417815 65890420 98835630 197671260 550185007 1100370014 1650555021 2200740028 2750925035 3301110042 5501850070 6602220084 8252775105 11003700140 16505550210 33011100420