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114223320020 = 22537315311437
BaseRepresentation
bin110101001100000111…
…1011000101111010100
3101220211102022212022002
41222120033120233110
53332412132220040
6124250134054432
711152363125545
oct1523017305724
9356742285262
10114223320020
11444950a4a37
121a1791aa418
13aa0447c234
14575806a4cc
152e87c81a15
hex1a983d8bd4

114223320020 has 24 divisors (see below), whose sum is σ = 240512068104. Its totient is φ = 45566833536.

The previous prime is 114223320019. The next prime is 114223320073. The reversal of 114223320020 is 20023322411.

It can be written as a sum of positive squares in 4 ways, for example, as 42714142276 + 71509177744 = 206674^2 + 267412^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 114223319974 and 114223320001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7648259 + ... + 7663178.

It is an arithmetic number, because the mean of its divisors is an integer number (10021336171).

Almost surely, 2114223320020 is an apocalyptic number.

114223320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114223320020 is an abundant number, since it is smaller than the sum of its proper divisors (126288748084).

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

114223320020 is a wasteful number, since it uses less digits than its factorization.

114223320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15311819 (or 15311817 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 114223320020 its reverse (20023322411), we get a palindrome (134246642431).

The spelling of 114223320020 in words is "one hundred fourteen billion, two hundred twenty-three million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 373 746 1492 1865 3730 7460 15311437 30622874 61245748 76557185 153114370 306228740 5711166001 11422332002 22844664004 28555830005 57111660010 114223320020