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2142012413020 = 225161966152329
BaseRepresentation
bin11111001010111001111…
…000111001010001011100
321120202220112020220101211
4133022321320321101130
5240043320134204040
64320005451514204
7310520031045514
oct37127170712134
97522815226354
102142012413020
1175647118a687
122a7177758964
13126cb60286ac
1475961488844
153aaba7148ea
hex1f2b9e3945c

2142012413020 has 24 divisors (see below), whose sum is σ = 4501004533200. Its totient is φ = 856275733632.

The previous prime is 2142012413011. The next prime is 2142012413027. The reversal of 2142012413020 is 203142102412.

It is a junction number, because it is equal to n+sod(n) for n = 2142012412982 and 2142012413000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142012413027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33043785 + ... + 33108544.

It is an arithmetic number, because the mean of its divisors is an integer number (187541855550).

Almost surely, 22142012413020 is an apocalyptic number.

2142012413020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142012413020 is an abundant number, since it is smaller than the sum of its proper divisors (2358992120180).

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

2142012413020 is a wasteful number, since it uses less digits than its factorization.

2142012413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66153957 (or 66153955 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2142012413020 its reverse (203142102412), we get a palindrome (2345154515432).

The spelling of 2142012413020 in words is "two trillion, one hundred forty-two billion, twelve million, four hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 1619 3238 6476 8095 16190 32380 66152329 132304658 264609316 330761645 661523290 1323046580 107100620651 214201241302 428402482604 535503103255 1071006206510 2142012413020