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221011012020 = 223529127017823
BaseRepresentation
bin1100110111010101001…
…0000110100110110100
3210010110122012200111210
43031311102012212310
512110112304341040
6245310413001420
721652600414551
oct3156522064664
9703418180453
10221011012020
1185803a55547
1236a00183270
1317ac22bb376
14a9a877da28
155b37d49480
hex33754869b4

221011012020 has 48 divisors (see below), whose sum is σ = 640169832960. Its totient is φ = 56903984256.

The previous prime is 221011011983. The next prime is 221011012069. The reversal of 221011012020 is 20210110122.

221011012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221011011987 and 221011012005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63507172 + ... + 63510651.

It is an arithmetic number, because the mean of its divisors is an integer number (13336871520).

Almost surely, 2221011012020 is an apocalyptic number.

221011012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221011012020 is an abundant number, since it is smaller than the sum of its proper divisors (419158820940).

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

221011012020 is a wasteful number, since it uses less digits than its factorization.

221011012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127017864 (or 127017862 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221011012020 its reverse (20210110122), we get a palindrome (241221122142).

The spelling of 221011012020 in words is "two hundred twenty-one billion, eleven million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 127017823 254035646 381053469 508071292 635089115 762106938 1270178230 1524213876 1905267345 2540356460 3683516867 3810534690 7367033734 7621069380 11050550601 14734067468 18417584335 22101101202 36835168670 44202202404 55252753005 73670337340 110505506010 221011012020