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21312233000 = 235321312233
BaseRepresentation
bin10011110110010011…
…101101111000101000
32001000021201121111222
4103312103231320220
5322121412424000
613442443041212
71353064664042
oct236623557050
961007647458
1021312233000
119047222103
124169510208
132018506976
1410626aca92
1584b075a85
hex4f64ede28

21312233000 has 32 divisors (see below), whose sum is σ = 49870627560. Its totient is φ = 8524892800.

The previous prime is 21312232969. The next prime is 21312233027. The reversal of 21312233000 is 33221312.

It can be written as a sum of positive squares in 4 ways, for example, as 958645444 + 20353587556 = 30962^2 + 142666^2 .

It is a super-2 number, since 2×213122330002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21312233000.

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 7 ways as a sum of consecutive naturals, for example, 10655117 + ... + 10657116.

Almost surely, 221312233000 is an apocalyptic number.

21312233000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312233000 is an abundant number, since it is smaller than the sum of its proper divisors (28558394560).

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

21312233000 is a wasteful number, since it uses less digits than its factorization.

21312233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21312254 (or 21312240 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 21312233000 its reverse (33221312), we get a palindrome (21345454312).

The spelling of 21312233000 in words is "twenty-one billion, three hundred twelve million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 21312233 42624466 85248932 106561165 170497864 213122330 426244660 532805825 852489320 1065611650 2131223300 2664029125 4262446600 5328058250 10656116500 21312233000