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220011102112 = 25172913945937
BaseRepresentation
bin1100110011100110101…
…1101111111110100000
3210000212221200222222111
43030321223233332200
512101040320231422
6245023253245104
721616036340404
oct3147153577640
9700787628874
10220011102112
118534059341a
1236781333794
13179930b31b9
14a911a57104
155aca184a77
hex3339aeffa0

220011102112 has 48 divisors (see below), whose sum is σ = 474440810760. Its totient is φ = 99964469248.

The previous prime is 220011102097. The next prime is 220011102127. The reversal of 220011102112 is 211201110022.

It is an interprime number because it is at equal distance from previous prime (220011102097) and next prime (220011102127).

It can be written as a sum of positive squares in 4 ways, for example, as 214780341136 + 5230760976 = 463444^2 + 72324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220011102092 and 220011102101.

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, 6957193 + ... + 6988744.

Almost surely, 2220011102112 is an apocalyptic number.

It is an amenable number.

220011102112 is an abundant number, since it is smaller than the sum of its proper divisors (254429708648).

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

220011102112 is a wasteful number, since it uses less digits than its factorization.

220011102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13945993 (or 13945985 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 220011102112 its reverse (211201110022), we get a palindrome (431212212134).

The spelling of 220011102112 in words is "two hundred twenty billion, eleven million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 928 986 1972 3944 7888 15776 13945937 27891874 55783748 111567496 223134992 237080929 404432173 446269984 474161858 808864346 948323716 1617728692 1896647432 3235457384 3793294864 6470914768 6875346941 7586589728 12941829536 13750693882 27501387764 55002775528 110005551056 220011102112