Search a number
-
+
21211231000 = 23538323079
BaseRepresentation
bin10011110000010010…
…011011001100011000
32000202020200011211011
4103300102123030120
5321420033343000
613424434143304
71350430326421
oct236022331430
960666604734
1021211231000
118aa5206883
12413b721b34
13200060207b
1410530da648
158422742ba
hex4f049b318

21211231000 has 96 divisors (see below), whose sum is σ = 50255805600. Its totient is φ = 8379547200.

The previous prime is 21211230949. The next prime is 21211231021. The reversal of 21211231000 is 13211212.

It is a super-2 number, since 2×212112310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6887461 + ... + 6890539.

It is an arithmetic number, because the mean of its divisors is an integer number (523497975).

Almost surely, 221211231000 is an apocalyptic number.

21211231000 is a gapful number since it is divisible by the number (20) 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 21211231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25127902800).

21211231000 is an abundant number, since it is smaller than the sum of its proper divisors (29044574600).

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

21211231000 is an equidigital number, since it uses as much as digits as its factorization.

21211231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 21211231000 its reverse (13211212), we get a palindrome (21224442212).

The spelling of 21211231000 in words is "twenty-one billion, two hundred eleven million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 664 830 1000 1660 2075 3079 3320 4150 6158 6889 8300 10375 12316 13778 15395 16600 20750 24632 27556 30790 34445 41500 55112 61580 68890 76975 83000 123160 137780 153950 172225 255557 275560 307900 344450 384875 511114 615800 688900 769750 861125 1022228 1277785 1377800 1539500 1722250 2044456 2555570 3079000 3444500 5111140 6388925 6889000 10222280 12777850 21211231 25555700 31944625 42422462 51111400 63889250 84844924 106056155 127778500 169689848 212112310 255557000 424224620 530280775 848449240 1060561550 2121123100 2651403875 4242246200 5302807750 10605615500 21211231000