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21134431212 = 223174114891697
BaseRepresentation
bin10011101011101101…
…011101001111101100
32000112220011100022120
4103223231131033230
5321240403244322
613413052112540
71345505462346
oct235355351754
960486140276
1021134431212
118a65920a84
124119a65750
131cba7224cb
141046c28296
1583a653a5c
hex4ebb5d3ec

21134431212 has 96 divisors (see below), whose sum is σ = 53555463360. Its totient is φ = 6460538880.

The previous prime is 21134431207. The next prime is 21134431217. The reversal of 21134431212 is 21213443112.

It is an interprime number because it is at equal distance from previous prime (21134431207) and next prime (21134431217).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21134431217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12453148 + ... + 12454844.

It is an arithmetic number, because the mean of its divisors is an integer number (557869410).

Almost surely, 221134431212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21134431212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26777731680).

21134431212 is an abundant number, since it is smaller than the sum of its proper divisors (32421032148).

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

21134431212 is a wasteful number, since it uses less digits than its factorization.

21134431212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3249 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 21134431212 its reverse (21213443112), we get a palindrome (42347874324).

It can be divided in two parts, 211344 and 31212, that added together give a triangular number (242556 = T696).

The spelling of 21134431212 in words is "twenty-one billion, one hundred thirty-four million, four hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 697 1394 1489 1697 2091 2788 2978 3394 4182 4467 5091 5956 6788 8364 8934 10182 17868 20364 25313 28849 50626 57698 61049 69577 75939 86547 101252 115396 122098 139154 151878 173094 183147 208731 244196 278308 303756 346188 366294 417462 732588 834924 1037833 1182809 2075666 2365618 2526833 3113499 3548427 4151332 4731236 5053666 6226998 7096854 7580499 10107332 12453996 14193708 15160998 30321996 42956161 85912322 103600153 128868483 171824644 207200306 257736966 310800459 414400612 515473932 621600918 1243201836 1761202601 3522405202 5283607803 7044810404 10567215606 21134431212