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20132042010 = 23531131165247
BaseRepresentation
bin10010101111111101…
…101001010100011010
31220222000222200211120
4102233331221110122
5312212300321020
613125403310110
71311614351013
oct225775512432
956860880746
1020132042010
1185a1016153
123a9a21b336
131b8ab599c2
14d8da5800a
157cc64e740
hex4aff6951a

20132042010 has 64 divisors (see below), whose sum is σ = 50256543744. Its totient is φ = 5155675200.

The previous prime is 20132042003. The next prime is 20132042017. The reversal of 20132042010 is 1024023102.

It is an interprime number because it is at equal distance from previous prime (20132042003) and next prime (20132042017).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (20132042017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39207 + ... + 204453.

It is an arithmetic number, because the mean of its divisors is an integer number (785258496).

Almost surely, 220132042010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132042010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25128271872).

20132042010 is an abundant number, since it is smaller than the sum of its proper divisors (30124501734).

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

20132042010 is a wasteful number, since it uses less digits than its factorization.

20132042010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165419.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20132042010 its reverse (1024023102), we get a palindrome (21156065112).

The spelling of 20132042010 in words is "twenty billion, one hundred thirty-two million, forty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 131 155 186 262 310 393 465 655 786 930 1310 1965 3930 4061 8122 12183 20305 24366 40610 60915 121830 165247 330494 495741 826235 991482 1652470 2478705 4957410 5122657 10245314 15367971 21647357 25613285 30735942 43294714 51226570 64942071 76839855 108236785 129884142 153679710 216473570 324710355 649420710 671068067 1342136134 2013204201 3355340335 4026408402 6710680670 10066021005 20132042010