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2143116820 = 2251329284233
BaseRepresentation
bin111111110111101…
…0101111000010100
312112100122121121001
41333233111320110
513342114214240
6552354233044
7104052122665
oct17757257024
95470577531
102143116820
119aa808429
124b9885784
13282006280
141648b136c
15c823289a
hex7fbd5e14

2143116820 has 48 divisors (see below), whose sum is σ = 5013887760. Its totient is φ = 764015616.

The previous prime is 2143116817. The next prime is 2143116823. The reversal of 2143116820 is 286113412.

It is an interprime number because it is at equal distance from previous prime (2143116817) and next prime (2143116823).

It can be written as a sum of positive squares in 8 ways, for example, as 28772496 + 2114344324 = 5364^2 + 45982^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143116823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134577 + ... + 149656.

It is an arithmetic number, because the mean of its divisors is an integer number (104455995).

Almost surely, 22143116820 is an apocalyptic number.

2143116820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2143116820 is an abundant number, since it is smaller than the sum of its proper divisors (2870770940).

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

2143116820 is a wasteful number, since it uses less digits than its factorization.

2143116820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284284 (or 284282 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 2143116820 is about 46293.8097373720. The cubic root of 2143116820 is about 1289.2840648093.

The spelling of 2143116820 in words is "two billion, one hundred forty-three million, one hundred sixteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 284233 568466 1136932 1421165 2842330 3695029 5684660 7390058 8242757 14780116 16485514 18475145 32971028 36950290 41213785 73900580 82427570 107155841 164855140 214311682 428623364 535779205 1071558410 2143116820