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21012222100 = 22523136011117
BaseRepresentation
bin10011100100011011…
…010001000010010100
32000020101012110221011
4103210123101002110
5321013112101400
613353004502004
71342462640512
oct234433210224
960211173834
1021012222100
118a02940511
1240a4b4a904
131c9b303c1c
1410348d54b2
1582ea638ba
hex4e46d1094

21012222100 has 72 divisors (see below), whose sum is σ = 45859326968. Its totient is φ = 8356608000.

The previous prime is 21012222059. The next prime is 21012222109. The reversal of 21012222100 is 122221012.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 14623097476 + 6389124624 = 120926^2 + 79932^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21012222109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18810742 + ... + 18811858.

Almost surely, 221012222100 is an apocalyptic number.

21012222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21012222100 is an abundant number, since it is smaller than the sum of its proper divisors (24847104868).

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

21012222100 is a wasteful number, since it uses less digits than its factorization.

21012222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21012222100 its reverse (122221012), we get a palindrome (21134443112).

The spelling of 21012222100 in words is "twenty-one billion, twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 313 601 626 1117 1202 1252 1565 2234 2404 3005 3130 4468 5585 6010 6260 7825 11170 12020 15025 15650 22340 27925 30050 31300 55850 60100 111700 188113 349621 376226 671317 699242 752452 940565 1342634 1398484 1748105 1881130 2685268 3356585 3496210 3762260 4702825 6713170 6992420 8740525 9405650 13426340 16782925 17481050 18811300 33565850 34962100 67131700 210122221 420244442 840488884 1050611105 2101222210 4202444420 5253055525 10506111050 21012222100