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20101220020 = 22574418601
BaseRepresentation
bin10010101110001000…
…000100011010110100
31220212212222210000101
4102232020010122310
5312131403020040
613122342523444
71311061360000
oct225610043264
956785883011
1020101220020
118585684132
123a8ba36584
131b8465783b
14d89913700
157c9ab209a
hex4ae2046b4

20101220020 has 60 divisors (see below), whose sum is σ = 49245176484. Its totient is φ = 6891830400.

The previous prime is 20101220011. The next prime is 20101220099. The reversal of 20101220020 is 2002210102.

It can be written as a sum of positive squares in 2 ways, for example, as 12613086864 + 7488133156 = 112308^2 + 86534^2 .

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 = 20101219979 and 20101220006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 161281 + ... + 257320.

Almost surely, 220101220020 is an apocalyptic number.

20101220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101220020 is an abundant number, since it is smaller than the sum of its proper divisors (29143956464).

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

20101220020 is an equidigital number, since it uses as much as digits as its factorization.

20101220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418638 (or 418615 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20101220020 its reverse (2002210102), we get a palindrome (22103430122).

The spelling of 20101220020 in words is "twenty billion, one hundred one million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2401 3430 4802 6860 9604 12005 24010 48020 418601 837202 1674404 2093005 2930207 4186010 5860414 8372020 11720828 14651035 20511449 29302070 41022898 58604140 82045796 102557245 143580143 205114490 287160286 410228980 574320572 717900715 1005061001 1435801430 2010122002 2871602860 4020244004 5025305005 10050610010 20101220020