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214011041020 = 22575925909327
BaseRepresentation
bin1100011101010000001…
…1010101010011111100
3202110101210112022111121
43013110003111103330
512001243311303040
6242152035200324
721314251556050
oct3072403252374
9673353468447
10214011041020
1182841720747
1235587a460a4
1317247cc56aa
14a502c2dc60
155878538c4a
hex31d40d54fc

214011041020 has 48 divisors (see below), whose sum is σ = 522332052480. Its totient is φ = 72131563584.

The previous prime is 214011041017. The next prime is 214011041089. The reversal of 214011041020 is 20140110412.

It is a happy number.

214011041020 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 = 214011040985 and 214011041003.

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, 12946404 + ... + 12962923.

It is an arithmetic number, because the mean of its divisors is an integer number (10881917760).

Almost surely, 2214011041020 is an apocalyptic number.

214011041020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214011041020 is an abundant number, since it is smaller than the sum of its proper divisors (308321011460).

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

214011041020 is a wasteful number, since it uses less digits than its factorization.

214011041020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25909402 (or 25909400 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 214011041020 its reverse (20140110412), we get a palindrome (234151151432).

The spelling of 214011041020 in words is "two hundred fourteen billion, eleven million, forty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 4130 8260 25909327 51818654 103637308 129546635 181365289 259093270 362730578 518186540 725461156 906826445 1528650293 1813652890 3057300586 3627305780 6114601172 7643251465 10700552051 15286502930 21401104102 30573005860 42802208204 53502760255 107005520510 214011041020