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2130013020 = 223545777681
BaseRepresentation
bin111111011110101…
…0110101101011100
312111102222212120010
41332331112231130
513330240404040
6551205323220
7103532545332
oct17675265534
95442885503
102130013020
119a3378343
124b5406510
1327c398a45
14162c5db52
15c6ee4e80
hex7ef56b5c

2130013020 has 48 divisors (see below), whose sum is σ = 5977163808. Its totient is φ = 566753280.

The previous prime is 2130013019. The next prime is 2130013027. The reversal of 2130013020 is 203100312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2130012987 and 2130013005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130013027) 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, 11421 + ... + 66260.

It is an arithmetic number, because the mean of its divisors is an integer number (124524246).

Almost surely, 22130013020 is an apocalyptic number.

2130013020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130013020 is an abundant number, since it is smaller than the sum of its proper divisors (3847150788).

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

2130013020 is a wasteful number, since it uses less digits than its factorization.

2130013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78150 (or 78148 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2130013020 is about 46152.0640925192. The cubic root of 2130013020 is about 1286.6509728399.

Adding to 2130013020 its reverse (203100312), we get a palindrome (2333113332).

The spelling of 2130013020 in words is "two billion, one hundred thirty million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 457 914 1371 1828 2285 2742 4570 5484 6855 9140 13710 27420 77681 155362 233043 310724 388405 466086 776810 932172 1165215 1553620 2330430 4660860 35500217 71000434 106500651 142000868 177501085 213001302 355002170 426002604 532503255 710004340 1065006510 2130013020