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21412435100 = 22527300110193
BaseRepresentation
bin10011111100010001…
…111101010010011100
32001021021021101221212
4103330101331102130
5322323040410400
613500422443552
71355422460330
oct237421752234
961237241855
1021412435100
119098841461
124196b935b8
1320331bb454
141071b137c0
15854c6a335
hex4fc47d49c

21412435100 has 72 divisors (see below), whose sum is σ = 53125745568. Its totient is φ = 7338240000.

The previous prime is 21412435091. The next prime is 21412435133. The reversal of 21412435100 is 153421412.

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 23 ways as a sum of consecutive naturals, for example, 2095604 + ... + 2105796.

Almost surely, 221412435100 is an apocalyptic number.

21412435100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21412435100 is an abundant number, since it is smaller than the sum of its proper divisors (31713310468).

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

21412435100 is a wasteful number, since it uses less digits than its factorization.

21412435100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13215 (or 13208 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 21412435100 its reverse (153421412), we get a palindrome (21565856512).

The spelling of 21412435100 in words is "twenty-one billion, four hundred twelve million, four hundred thirty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 3001 6002 10193 12004 15005 20386 21007 30010 40772 42014 50965 60020 71351 75025 84028 101930 105035 142702 150050 203860 210070 254825 285404 300100 356755 420140 509650 525175 713510 1019300 1050350 1427020 1783775 2100700 3567550 7135100 30589193 61178386 122356772 152945965 214124351 305891930 428248702 611783860 764729825 856497404 1070621755 1529459650 2141243510 3058919300 4282487020 5353108775 10706217550 21412435100