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2142512020 = 2251115316361
BaseRepresentation
bin111111110110100…
…0010001110010100
312112022111212222001
41333231002032110
513341440341040
6552333245044
7104044023505
oct17755021624
95468455861
102142512020
119aa434aa0
124b9633784
13281b53bbc
14164794bac
15c816359a
hex7fb42394

2142512020 has 48 divisors (see below), whose sum is σ = 4912278336. Its totient is φ = 778464000.

The previous prime is 2142512011. The next prime is 2142512069. The reversal of 2142512020 is 202152412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333640 + ... + 340000.

It is an arithmetic number, because the mean of its divisors is an integer number (102339132).

Almost surely, 22142512020 is an apocalyptic number.

2142512020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142512020 is an abundant number, since it is smaller than the sum of its proper divisors (2769766316).

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

2142512020 is a wasteful number, since it uses less digits than its factorization.

2142512020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7912 (or 7910 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2142512020 is about 46287.2770856096. The cubic root of 2142512020 is about 1289.1627722511.

Adding to 2142512020 its reverse (202152412), we get a palindrome (2344664432).

The spelling of 2142512020 in words is "two billion, one hundred forty-two million, five hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1531 3062 6124 6361 7655 12722 15310 16841 25444 30620 31805 33682 63610 67364 69971 84205 127220 139942 168410 279884 336820 349855 699710 1399420 9738691 19477382 38954764 48693455 97386910 107125601 194773820 214251202 428502404 535628005 1071256010 2142512020