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220100011122020 = 22588530112430801
BaseRepresentation
bin110010000010111000000110…
…111110100101110101100100
31001212022100121012122222000112
4302002320012332211311210
5212322104310321401040
62100040314345032152
764234462313006561
oct6202700676456544
91055270535588015
10220100011122020
1164148988312637
1220828a34485658
1395a745a477813
143c4cc7c599868
151a6a48e10a365
hexc82e06fa5d64

220100011122020 has 24 divisors (see below), whose sum is σ = 462210582632568. Its totient is φ = 88039897920000.

The previous prime is 220100011122001. The next prime is 220100011122071. The reversal of 220100011122020 is 20221110001022.

It can be written as a sum of positive squares in 4 ways, for example, as 40835065013824 + 179264946108196 = 6390232^2 + 13388986^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220100011121986 and 220100011122004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11490620 + ... + 23921420.

It is an arithmetic number, because the mean of its divisors is an integer number (19258774276357).

Almost surely, 2220100011122020 is an apocalyptic number.

220100011122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100011122020 is an abundant number, since it is smaller than the sum of its proper divisors (242110571510548).

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

220100011122020 is a wasteful number, since it uses less digits than its factorization.

220100011122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13316111 (or 13316109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220100011122020 its reverse (20221110001022), we get a palindrome (240321121123042).

The spelling of 220100011122020 in words is "two hundred twenty trillion, one hundred billion, eleven million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 885301 1770602 3541204 4426505 8853010 12430801 17706020 24861602 49723204 62154005 124308010 248616020 11005000556101 22010001112202 44020002224404 55025002780505 110050005561010 220100011122020