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220211324413340 = 225132114014059869
BaseRepresentation
bin110010000100011111110001…
…110001000110010110011100
31001212200222220211021001101212
4302010133301301012112130
5212330420243022211330
62100203404051123552
764245512622245651
oct6204376161062634
91055628824231355
10220211324413340
1164191109808977
122084651aba35b8
1395b4ab9a84380
143c543dbd5dc28
151a6d30666b295
hexc847f1c4659c

220211324413340 has 48 divisors (see below), whose sum is σ = 500376647154720. Its totient is φ = 80923446938880.

The previous prime is 220211324413337. The next prime is 220211324413397. The reversal of 220211324413340 is 43314423112022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220211324413297 and 220211324413306.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2006975075 + ... + 2007084794.

It is an arithmetic number, because the mean of its divisors is an integer number (10424513482390).

Almost surely, 2220211324413340 is an apocalyptic number.

220211324413340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220211324413340 is an abundant number, since it is smaller than the sum of its proper divisors (280165322741380).

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

220211324413340 is a wasteful number, since it uses less digits than its factorization.

220211324413340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014060102 (or 4014060100 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 220211324413340 its reverse (43314423112022), we get a palindrome (263525747525362).

The spelling of 220211324413340 in words is "two hundred twenty trillion, two hundred eleven billion, three hundred twenty-four million, four hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 211 260 422 844 1055 2110 2743 4220 5486 10972 13715 27430 54860 4014059869 8028119738 16056239476 20070299345 40140598690 52182778297 80281197380 104365556594 208731113188 260913891485 521827782970 846966632359 1043655565940 1693933264718 3387866529436 4234833161795 8469666323590 11010566220667 16939332647180 22021132441334 44042264882668 55052831103335 110105662206670 220211324413340