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320012012220 = 2235103132139199
BaseRepresentation
bin1001010100000100011…
…00111100101010111100
31010121000012001120122220
410222002030330222330
520220341033342340
6403002252005340
732056124136315
oct4520214745274
91117005046586
10320012012220
1111379749027a
125202b460850
132423bb50c64
14116bac7360c
1584ce4eded0
hex4a8233cabc

320012012220 has 96 divisors (see below), whose sum is σ = 905440972800. Its totient is φ = 84441899520.

The previous prime is 320012012219. The next prime is 320012012267. The reversal of 320012012220 is 22210210023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 320012012220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8144181 + ... + 8183379.

It is an arithmetic number, because the mean of its divisors is an integer number (9431676800).

Almost surely, 2320012012220 is an apocalyptic number.

320012012220 is a gapful number since it is divisible by the number (30) 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 320012012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452720486400).

320012012220 is an abundant number, since it is smaller than the sum of its proper divisors (585428960580).

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

320012012220 is a wasteful number, since it uses less digits than its factorization.

320012012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40635 (or 40633 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 320012012220 its reverse (22210210023), we get a palindrome (342222222243).

The spelling of 320012012220 in words is "three hundred twenty billion, twelve million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1321 1545 2060 2642 3090 3963 5284 6180 6605 7926 13210 15852 19815 26420 39199 39630 78398 79260 117597 136063 156796 195995 235194 272126 391990 408189 470388 544252 587985 680315 783980 816378 1175970 1360630 1632756 2040945 2351940 2721260 4037497 4081890 8074994 8163780 12112491 16149988 20187485 24224982 40374970 48449964 51781879 60562455 80749940 103563758 121124910 155345637 207127516 242249820 258909395 310691274 517818790 621382548 776728185 1035637580 1553456370 3106912740 5333533537 10667067074 16000600611 21334134148 26667667685 32001201222 53335335370 64002402444 80003003055 106670670740 160006006110 320012012220