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20101211020 = 22511109838249
BaseRepresentation
bin10010101110001000…
…000010001110001100
31220212212222022200001
4102232020002032030
5312131402223040
613122342414044
71311061321522
oct225610021614
956785868601
1020101211020
1185856783a0
123a8ba31324
131b84653707
14d89910312
157c9aae59a
hex4ae20238c

20101211020 has 48 divisors (see below), whose sum is σ = 46472580000. Its totient is φ = 7242462720.

The previous prime is 20101211017. The next prime is 20101211023. The reversal of 20101211020 is 2011210102.

It is an interprime number because it is at equal distance from previous prime (20101211017) and next prime (20101211023).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20101210988 and 20101211006.

It is not an unprimeable number, because it can be changed into a prime (20101211023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395145 + ... + 443104.

It is an arithmetic number, because the mean of its divisors is an integer number (968178750).

Almost surely, 220101211020 is an apocalyptic number.

20101211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101211020 is an abundant number, since it is smaller than the sum of its proper divisors (26371368980).

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

20101211020 is a wasteful number, since it uses less digits than its factorization.

20101211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838378 (or 838376 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20101211020 its reverse (2011210102), we get a palindrome (22112421122).

The spelling of 20101211020 in words is "twenty billion, one hundred one million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 218 220 436 545 1090 1199 2180 2398 4796 5995 11990 23980 838249 1676498 3352996 4191245 8382490 9220739 16764980 18441478 36882956 46103695 91369141 92207390 182738282 184414780 365476564 456845705 913691410 1005060551 1827382820 2010121102 4020242204 5025302755 10050605510 20101211020