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2143112420 = 225353401757
BaseRepresentation
bin111111110111101…
…0100110011100100
312112100122101120002
41333233110303210
513342114044140
6552354200432
7104052104111
oct17757246344
95470571502
102143112420
119aa805099
124b9883118
13282004277
141648ad908
15c8231415
hex7fbd4ce4

2143112420 has 48 divisors (see below), whose sum is σ = 4530517488. Its totient is φ = 851558400.

The previous prime is 2143112407. The next prime is 2143112431. The reversal of 2143112420 is 242113412.

It can be written as a sum of positive squares in 8 ways, for example, as 168376576 + 1974735844 = 12976^2 + 44438^2 .

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 = 2143112392 and 2143112401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2830682 + ... + 2831438.

It is an arithmetic number, because the mean of its divisors is an integer number (94385781).

Almost surely, 22143112420 is an apocalyptic number.

2143112420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2143112420 is an abundant number, since it is smaller than the sum of its proper divisors (2387405068).

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

2143112420 is a wasteful number, since it uses less digits than its factorization.

2143112420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2143112420 is about 46293.7622147952. The cubic root of 2143112420 is about 1289.2831824723.

Adding to 2143112420 its reverse (242113412), we get a palindrome (2385225832).

The spelling of 2143112420 in words is "two billion, one hundred forty-three million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 353 401 706 757 802 1412 1514 1604 1765 2005 3028 3530 3785 4010 7060 7570 8020 15140 141553 267221 283106 303557 534442 566212 607114 707765 1068884 1214228 1336105 1415530 1517785 2672210 2831060 3035570 5344420 6071140 107155621 214311242 428622484 535778105 1071556210 2143112420