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221022221121020 = 225112312946177301
BaseRepresentation
bin110010010000010010111110…
…111110100011010111111100
31001222120111222121110220012102
4302100102332332203113330
5212432212002101333040
62102024112345524232
764361220452450024
oct6220227676432774
91058514877426172
10221022221121020
1164473aa7870400
12209577067a3678
1396433c9431167
143c81765588a84
151a844663e7515
hexc904befa35fc

221022221121020 has 72 divisors (see below), whose sum is σ = 526635085087104. Its totient is φ = 77779080720000.

The previous prime is 221022221120993. The next prime is 221022221121059. The reversal of 221022221121020 is 20121122220122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221022221120983 and 221022221121001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1473013631 + ... + 1473163670.

Almost surely, 2221022221121020 is an apocalyptic number.

221022221121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221022221121020 is an abundant number, since it is smaller than the sum of its proper divisors (305612863966084).

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

221022221121020 is a wasteful number, since it uses less digits than its factorization.

221022221121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946177363 (or 2946177350 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221022221121020 its reverse (20121122220122), we get a palindrome (241143343341142).

The spelling of 221022221121020 in words is "two hundred twenty-one trillion, twenty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 220 242 310 341 484 605 620 682 1210 1364 1705 2420 3410 3751 6820 7502 15004 18755 37510 75020 2946177301 5892354602 11784709204 14730886505 29461773010 32407950311 58923546020 64815900622 91331496331 129631801244 162039751555 182662992662 324079503110 356487453421 365325985324 456657481655 648159006220 712974906842 913314963310 1004646459641 1425949813684 1782437267105 1826629926620 2009292919282 3564874534210 4018585838564 5023232298205 7129749068420 10046464596410 11051111056051 20092929192820 22102222112102 44204444224204 55255555280255 110511110560510 221022221121020