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11214210420 = 22325725734631
BaseRepresentation
bin10100111000110101…
…10100010101110100
31001221112111220200200
422130122310111310
5140431314213140
65052435240500
7544620134010
oct123432642564
931845456620
1011214210420
1148351472a6
12220b749130
131099418a8a
14785511540
154597a4030
hex29c6b4574

11214210420 has 144 divisors (see below), whose sum is σ = 39028324608. Its totient is φ = 2553200640.

The previous prime is 11214210409. The next prime is 11214210421. The reversal of 11214210420 is 2401241211.

11214210420 is a `hidden beast` number, since 11 + 21 + 4 + 210 + 420 = 666.

11214210420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11214210393 and 11214210402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11214210421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306505 + ... + 341135.

It is an arithmetic number, because the mean of its divisors is an integer number (271030032).

Almost surely, 211214210420 is an apocalyptic number.

11214210420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11214210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514162304).

11214210420 is an abundant number, since it is smaller than the sum of its proper divisors (27814114188).

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

11214210420 is a wasteful number, since it uses less digits than its factorization.

11214210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34910 (or 34905 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11214210420 its reverse (2401241211), we get a palindrome (13615451631).

The spelling of 11214210420 in words is "eleven billion, two hundred fourteen million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 257 315 420 514 630 771 1028 1260 1285 1542 1799 2313 2570 3084 3598 3855 4626 5140 5397 7196 7710 8995 9252 10794 11565 15420 16191 17990 21588 23130 26985 32382 34631 35980 46260 53970 64764 69262 80955 103893 107940 138524 161910 173155 207786 242417 311679 323820 346310 415572 484834 519465 623358 692620 727251 969668 1038930 1212085 1246716 1454502 1558395 2077860 2181753 2424170 2909004 3116790 3636255 4363506 4848340 6233580 7272510 8727012 8900167 10908765 14545020 17800334 21817530 26700501 35600668 43635060 44500835 53401002 62301169 80101503 89001670 106802004 124602338 133502505 160203006 178003340 186903507 249204676 267005010 311505845 320406012 373807014 400507515 534010020 560710521 623011690 747614028 801015030 934517535 1121421042 1246023380 1602030060 1869035070 2242842084 2803552605 3738070140 5607105210 11214210420