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211101312220 = 225191075191867
BaseRepresentation
bin1100010010011010011…
…1100110010011011100
3202011220000100202222021
43010212213212103130
511424313413442340
6240551213425524
721152200355521
oct3044647462334
9664800322867
10211101312220
11815892073a7
1234ab549b2a4
1316ba3229686
14a308605148
155757d76e4a
hex31269e64dc

211101312220 has 48 divisors (see below), whose sum is σ = 471006264960. Its totient is φ = 79248642624.

The previous prime is 211101312203. The next prime is 211101312241. The reversal of 211101312220 is 22213101112.

211101312220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211101312194 and 211101312203.

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, 2555274 + ... + 2636593.

It is an arithmetic number, because the mean of its divisors is an integer number (9812630520).

Almost surely, 2211101312220 is an apocalyptic number.

211101312220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101312220 is an abundant number, since it is smaller than the sum of its proper divisors (259904952740).

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

211101312220 is a wasteful number, since it uses less digits than its factorization.

211101312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192002 (or 5192000 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 211101312220 its reverse (22213101112), we get a palindrome (233314413332).

The spelling of 211101312220 in words is "two hundred eleven billion, one hundred one million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 107 190 214 380 428 535 1070 2033 2140 4066 8132 10165 20330 40660 5191867 10383734 20767468 25959335 51918670 98645473 103837340 197290946 394581892 493227365 555529769 986454730 1111059538 1972909460 2222119076 2777648845 5555297690 10555065611 11110595380 21110131222 42220262444 52775328055 105550656110 211101312220