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20100312020 = 22573127710781
BaseRepresentation
bin10010101110000100…
…100110101111010100
31220212211021122110202
4102232010212233110
5312131134441040
613122311240032
71311050555525
oct225604465724
956784248422
1020100312020
118585113a18
123a8b679018
131b843ca469
14d8975884c
157c9983015
hex4ae126bd4

20100312020 has 48 divisors (see below), whose sum is σ = 42826362768. Its totient is φ = 7923041280.

The previous prime is 20100311923. The next prime is 20100312041. The reversal of 20100312020 is 2021300102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 89946256 + 20010365764 = 9484^2 + 141458^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20100311992 and 20100312010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1859030 + ... + 1869810.

It is an arithmetic number, because the mean of its divisors is an integer number (892215891).

Almost surely, 220100312020 is an apocalyptic number.

20100312020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100312020 is an abundant number, since it is smaller than the sum of its proper divisors (22726050748).

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

20100312020 is a wasteful number, since it uses less digits than its factorization.

20100312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12140 (or 12138 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 20100312020 its reverse (2021300102), we get a palindrome (22121612122).

The spelling of 20100312020 in words is "twenty billion, one hundred million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1277 1460 2554 5108 6385 10781 12770 21562 25540 43124 53905 93221 107810 186442 215620 372884 466105 787013 932210 1574026 1864420 3148052 3935065 7870130 13767337 15740260 27534674 55069348 68836685 137673370 275346740 1005015601 2010031202 4020062404 5025078005 10050156010 20100312020