Search a number
-
+
113222400123 = 373674633547
BaseRepresentation
bin110100101110010010…
…1001011100001111011
3101211020122220212022210
41221130211023201323
53323334413300443
6124002540550203
711115520344000
oct1513445134173
9354218825283
10113222400123
1144021103008
1219b39b52363
13a8a4cac441
1456a115d8a7
152e29e6cc33
hex1a5c94b87b

113222400123 has 64 divisors (see below), whose sum is σ = 179114393600. Its totient is φ = 63577283616.

The previous prime is 113222400121. The next prime is 113222400131. The reversal of 113222400123 is 321004222311.

It is not a de Polignac number, because 113222400123 - 21 = 113222400121 is a prime.

It is a super-2 number, since 2×1132224001232 (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113222400123.

It is not an unprimeable number, because it can be changed into a prime (113222400121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31918836 + ... + 31922382.

It is an arithmetic number, because the mean of its divisors is an integer number (2798662400).

Almost surely, 2113222400123 is an apocalyptic number.

113222400123 is a deficient number, since it is larger than the sum of its proper divisors (65891993477).

113222400123 is an equidigital number, since it uses as much as digits as its factorization.

113222400123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 113222400123 its reverse (321004222311), we get a palindrome (434226622434).

The spelling of 113222400123 in words is "one hundred thirteen billion, two hundred twenty-two million, four hundred thousand, one hundred twenty-three".

Divisors: 1 3 7 21 49 67 147 201 343 463 469 1029 1389 1407 3241 3283 3547 9723 9849 10641 22687 22981 24829 31021 68061 68943 74487 93063 158809 173803 217147 237649 476427 521409 651441 712947 1216621 1520029 1642261 1663543 3649863 4560087 4926783 4990629 10640203 11495827 11644801 31920609 34487481 34934403 80470789 81513607 110031487 241412367 244540821 330094461 563295523 770220409 1689886569 2310661227 5391542863 16174628589 37740800041 113222400123