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2110143420 = 22335711192671
BaseRepresentation
bin111110111000110…
…0011101110111100
312110001121101121000
41331301203232330
513310144042140
6545215410300
7103201631430
oct17561435674
95401541530
102110143420
11993136a90
124aa823990
1327822ca98
1416036a9c0
15c53bca30
hex7dc63bbc

2110143420 has 384 divisors, whose sum is σ = 8618803200. Its totient is φ = 415238400.

The previous prime is 2110143419. The next prime is 2110143421. The reversal of 2110143420 is 243410112.

2110143420 is a `hidden beast` number, since 211 + 0 + 1 + 434 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2110143419) and next prime (2110143421).

It is a super-4 number, since 4×21101434204 (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2110143393 and 2110143402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110143421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 788685 + ... + 791355.

It is an arithmetic number, because the mean of its divisors is an integer number (22444800).

Almost surely, 22110143420 is an apocalyptic number.

2110143420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110143420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309401600).

2110143420 is an abundant number, since it is smaller than the sum of its proper divisors (6508659780).

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

2110143420 is a wasteful number, since it uses less digits than its factorization.

2110143420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2110143420 is about 45936.2974128303. The cubic root of 2110143420 is about 1282.6376720305.

Adding to 2110143420 its reverse (243410112), we get a palindrome (2353553532).

It can be divided in two parts, 2110 and 143420, that added together give a triangular number (145530 = T539).

The spelling of 2110143420 in words is "two billion, one hundred ten million, one hundred forty-three thousand, four hundred twenty".