Search a number
-
+
11210340414 = 2371390722637
BaseRepresentation
bin10100111000011000…
…00011100000111110
31001221021020022001010
422130030003200332
5140424321343124
65052220300050
7544542215130
oct123414034076
931837208033
1011210340414
114832a43749
12220a3a1626
131098692430
14784bc5050
1545928c529
hex29c30383e

11210340414 has 64 divisors (see below), whose sum is σ = 27626328576. Its totient is φ = 2953183104.

The previous prime is 11210340367. The next prime is 11210340443. The reversal of 11210340414 is 41404301211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483904 + ... + 506540.

It is an arithmetic number, because the mean of its divisors is an integer number (431661384).

Almost surely, 211210340414 is an apocalyptic number.

11210340414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11210340414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13813164288).

11210340414 is an abundant number, since it is smaller than the sum of its proper divisors (16415988162).

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

11210340414 is a wasteful number, since it uses less digits than its factorization.

11210340414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23569.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11210340414 its reverse (41404301211), we get a palindrome (52614641625).

The spelling of 11210340414 in words is "eleven billion, two hundred ten million, three hundred forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 907 1814 2721 5442 6349 11791 12698 19047 22637 23582 35373 38094 45274 67911 70746 82537 135822 158459 165074 247611 294281 316918 475377 495222 588562 882843 950754 1765686 2059967 4119934 6179901 12359802 20531759 41063518 61595277 123190554 143722313 266912867 287444626 431166939 533825734 800738601 862333878 1601477202 1868390069 3736780138 5605170207 11210340414