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3113201322220 = 22511107187770459
BaseRepresentation
bin101101010011011001010…
…000100100100011101100
3102000121201100112021022211
4231103121100210203230
5402001314014302340
610342103540420204
7440631013422343
oct55233120444354
912017640467284
103113201322220
11aa0334a92630
124234389a7664
1319775c33c3c2
14aa97332ab5a
1555eac8eb5ea
hex2d4d94248ec

3113201322220 has 96 divisors (see below), whose sum is σ = 7202653436160. Its totient is φ = 1120879683840.

The previous prime is 3113201322157. The next prime is 3113201322223. The reversal of 3113201322220 is 222231023113.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3113201322191 and 3113201322200.

It is not an unprimeable number, because it can be changed into a prime (3113201322223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 44149351 + ... + 44219809.

It is an arithmetic number, because the mean of its divisors is an integer number (75027639960).

Almost surely, 23113201322220 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 3113201322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601326718080).

3113201322220 is an abundant number, since it is smaller than the sum of its proper divisors (4089452113940).

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

3113201322220 is a wasteful number, since it uses less digits than its factorization.

3113201322220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72463 (or 72461 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 3113201322220 its reverse (222231023113), we get a palindrome (3335432345333).

The spelling of 3113201322220 in words is "three trillion, one hundred thirteen billion, two hundred one million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 1877 2140 2354 3754 4708 5885 7508 9385 11770 18770 20647 23540 37540 41294 70459 82588 103235 140918 200839 206470 281836 352295 401678 412940 704590 775049 803356 1004195 1409180 1550098 2008390 2209229 3100196 3875245 4016780 4418458 7539113 7750490 8836916 11046145 15078226 15500980 22092290 30156452 37695565 44184580 75391130 82930243 132251543 150782260 165860486 264503086 331720972 414651215 529006172 661257715 829302430 1322515430 1454766973 1658604860 2645030860 2909533946 5819067892 7273834865 14150915101 14547669730 28301830202 29095339460 56603660404 70754575505 141509151010 155660066111 283018302020 311320132222 622640264444 778300330555 1556600661110 3113201322220