Search a number
-
+
122150434110 = 23543211448769
BaseRepresentation
bin111000111000010111…
…0111011010100111110
3102200021212120222112020
41301300232323110332
54000131002342420
6132040511421010
711553000362415
oct1616056732476
9380255528466
10122150434110
11478928100a1
121b80bb24766
13b6988830a3
145caaba047c
15329db81340
hex1c70bbb53e

122150434110 has 64 divisors (see below), whose sum is σ = 301401112320. Its totient is φ = 31665070080.

The previous prime is 122150434093. The next prime is 122150434163. The reversal of 122150434110 is 11434051221.

It is a super-2 number, since 2×1221504341102 (a number of 23 digits) contains 22 as substring.

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, 47806 + ... + 496574.

It is an arithmetic number, because the mean of its divisors is an integer number (4709392380).

Almost surely, 2122150434110 is an apocalyptic number.

122150434110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122150434110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150700556160).

122150434110 is an abundant number, since it is smaller than the sum of its proper divisors (179250678210).

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

122150434110 is a wasteful number, since it uses less digits than its factorization.

122150434110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449033.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 122150434110 its reverse (11434051221), we get a palindrome (133584485331).

The spelling of 122150434110 in words is "one hundred twenty-two billion, one hundred fifty million, four hundred thirty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 211 215 258 422 430 633 645 1055 1266 1290 2110 3165 6330 9073 18146 27219 45365 54438 90730 136095 272190 448769 897538 1346307 2243845 2692614 4487690 6731535 13463070 19297067 38594134 57891201 94690259 96485335 115782402 189380518 192970670 284070777 289456005 473451295 568141554 578912010 946902590 1420353885 2840707770 4071681137 8143362274 12215043411 20358405685 24430086822 40716811370 61075217055 122150434110