Search a number
-
+
13374271900 = 225211103118043
BaseRepresentation
bin11000111010010101…
…10011000110011100
31021112002001101222201
430131022303012130
5204342303200100
610051041021244
7652266302233
oct143512630634
937462041881
1013374271900
115743478480
122713024824
131351aa5872
1490c353b1a
1553423236a
hex31d2b319c

13374271900 has 72 divisors (see below), whose sum is σ = 31968203904. Its totient is φ = 4816113600.

The previous prime is 13374271877. The next prime is 13374272029. The reversal of 13374271900 is 917247331.

It is a happy number.

13374271900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133742719002 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13374271900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54279 + ... + 172321.

It is an arithmetic number, because the mean of its divisors is an integer number (444002832).

Almost surely, 213374271900 is an apocalyptic number.

13374271900 is a gapful number since it is divisible by the number (10) 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 13374271900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15984101952).

13374271900 is an abundant number, since it is smaller than the sum of its proper divisors (18593932004).

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

13374271900 is a wasteful number, since it uses less digits than its factorization.

13374271900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118171 (or 118164 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The spelling of 13374271900 in words is "thirteen billion, three hundred seventy-four million, two hundred seventy-one thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 206 220 275 412 515 550 1030 1100 1133 2060 2266 2575 4532 5150 5665 10300 11330 22660 28325 56650 113300 118043 236086 472172 590215 1180430 1298473 2360860 2596946 2951075 5193892 5902150 6492365 11804300 12158429 12984730 24316858 25969460 32461825 48633716 60792145 64923650 121584290 129847300 133742719 243168580 267485438 303960725 534970876 607921450 668713595 1215842900 1337427190 2674854380 3343567975 6687135950 13374271900