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2134105020 = 2232511856139
BaseRepresentation
bin111111100110011…
…1101101110111100
312111201200202201200
41333030331232330
513332312330040
6551433135500
7103612410345
oct17714755674
95451622650
102134105020
119a5712763
124b685a590
1328019c448
141636070cc
15c7552630
hex7f33dbbc

2134105020 has 36 divisors (see below), whose sum is σ = 6473452440. Its totient is φ = 569094624.

The previous prime is 2134105019. The next prime is 2134105021. The reversal of 2134105020 is 205014312.

It is an interprime number because it is at equal distance from previous prime (2134105019) and next prime (2134105021).

It is a tau number, because it is divible by the number of its divisors (36).

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 = 2134104984 and 2134105002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134105021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5927890 + ... + 5928249.

Almost surely, 22134105020 is an apocalyptic number.

2134105020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134105020 is an abundant number, since it is smaller than the sum of its proper divisors (4339347420).

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

2134105020 is a wasteful number, since it uses less digits than its factorization.

2134105020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11856154 (or 11856149 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2134105020 is about 46196.3745330735. The cubic root of 2134105020 is about 1287.4743806132.

Adding to 2134105020 its reverse (205014312), we get a palindrome (2339119332).

The spelling of 2134105020 in words is "two billion, one hundred thirty-four million, one hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11856139 23712278 35568417 47424556 59280695 71136834 106705251 118561390 142273668 177842085 213410502 237122780 355684170 426821004 533526255 711368340 1067052510 2134105020