Search a number
-
+
22142113031020 = 2254917193136019
BaseRepresentation
bin1010000100011010111001…
…10010000010001101101100
32220101202122221001100000011
411002031130302002031230
510400234021413443040
6115031540222343004
74443500126245363
oct502153462021554
986352587040004
1022142113031020
117067465620494
122597358a2aa64
13c47cb910b2b8
14567980c187da
15285e793233ea
hex14235cc8236c

22142113031020 has 48 divisors (see below), whose sum is σ = 46657956441600. Its totient is φ = 8826510822080.

The previous prime is 22142113030997. The next prime is 22142113031021. The reversal of 22142113031020 is 2013031124122.

It is a junction number, because it is equal to n+sod(n) for n = 22142113030982 and 22142113031000.

It is not an unprimeable number, because it can be changed into a prime (22142113031021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5492571 + ... + 8628589.

It is an arithmetic number, because the mean of its divisors is an integer number (972040759200).

Almost surely, 222142113031020 is an apocalyptic number.

22142113031020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142113031020 is an abundant number, since it is smaller than the sum of its proper divisors (24515843410580).

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

22142113031020 is a wasteful number, since it uses less digits than its factorization.

22142113031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137238 (or 3137236 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 22142113031020 its reverse (2013031124122), we get a palindrome (24155144155142).

The spelling of 22142113031020 in words is "twenty-two trillion, one hundred forty-two billion, one hundred thirteen million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 491 719 982 1438 1964 2455 2876 3595 4910 7190 9820 14380 353029 706058 1412116 1765145 3136019 3530290 6272038 7060580 12544076 15680095 31360190 62720380 1539785329 2254797661 3079570658 4509595322 6159141316 7698926645 9019190644 11273988305 15397853290 22547976610 30795706580 45095953220 1107105651551 2214211303102 4428422606204 5535528257755 11071056515510 22142113031020