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22013331300 = 22325237661061
BaseRepresentation
bin10100100000000110…
…001100011101100100
32002211010222002120200
4110200012030131210
5330040403100200
614040210030500
71406340141312
oct244006143544
962733862520
1022013331300
119376a51694
124324278430
1320ca83bc2c
1410cb8510b2
1588c8b3800
hex52018c764

22013331300 has 108 divisors (see below), whose sum is σ = 70864524276. Its totient is φ = 5711558400.

The previous prime is 22013331299. The next prime is 22013331311. The reversal of 22013331300 is 313331022.

22013331300 is a `hidden beast` number, since 2 + 20 + 13 + 331 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1470415716 + 20542915584 = 38346^2 + 143328^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 297231 + ... + 363830.

Almost surely, 222013331300 is an apocalyptic number.

22013331300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22013331300 is an abundant number, since it is smaller than the sum of its proper divisors (48851192976).

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

22013331300 is a wasteful number, since it uses less digits than its factorization.

22013331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661118 (or 661108 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 22013331300 its reverse (313331022), we get a palindrome (22326662322).

The spelling of 22013331300 in words is "twenty-two billion, thirteen million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 661061 1322122 1983183 2644244 3305305 3966366 5949549 6610610 7932732 9915915 11899098 13221220 16526525 19831830 23798196 24459257 29747745 33053050 39663660 48918514 49579575 59495490 66106100 73377771 97837028 99159150 118990980 122296285 146755542 148738725 198318300 220133313 244592570 293511084 297477450 366888855 440266626 489185140 594954900 611481425 733777710 880533252 1100666565 1222962850 1467555420 1834444275 2201333130 2445925700 3668888550 4402666260 5503332825 7337777100 11006665650 22013331300