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220113112312 = 231719796131759
BaseRepresentation
bin1100110011111111000…
…0111000110011111000
3210001011001122122200001
43030333300320303320
512101242424043222
6245041335522344
721621415404262
oct3147760706370
9701131578601
10220113112312
1185393128175
12367ab5293b4
13179ab27b972
14a92140cb32
155ad40d4e27
hex333fc38cf8

220113112312 has 128 divisors (see below), whose sum is σ = 466836480000. Its totient is φ = 96675710976.

The previous prime is 220113112279. The next prime is 220113112313. The reversal of 220113112312 is 213211311022.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 220113112312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220113112313) 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, 125134489 + ... + 125136247.

It is an arithmetic number, because the mean of its divisors is an integer number (3647160000).

Almost surely, 2220113112312 is an apocalyptic number.

It is an amenable number.

220113112312 is an abundant number, since it is smaller than the sum of its proper divisors (246723367688).

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

220113112312 is a wasteful number, since it uses less digits than its factorization.

220113112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 220113112312 its reverse (213211311022), we get a palindrome (433324423334).

The spelling of 220113112312 in words is "two hundred twenty billion, one hundred thirteen million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 8 17 19 34 38 68 76 79 136 152 158 316 323 613 632 646 1226 1292 1343 1501 1759 2452 2584 2686 3002 3518 4904 5372 6004 7036 10421 10744 11647 12008 14072 20842 23294 25517 29903 33421 41684 46588 48427 51034 59806 66842 83368 93176 96854 102068 119612 133684 138961 193708 197999 204136 239224 267368 277922 387416 395998 555844 568157 791996 823259 920113 1078267 1111688 1136314 1583992 1646518 1840226 2156534 2272628 2362337 2640259 3293036 3680452 4313068 4545256 4724674 5280518 6586072 7360904 8626136 9449348 10561036 15641921 18330539 18898696 20487073 21122072 31283842 36661078 40974146 44884403 62567684 73322156 81948292 85183093 89768806 125135368 146644312 163896584 170366186 179537612 340732372 348280241 359075224 681464744 696560482 1393120964 1448112581 1618478767 2786241928 2896225162 3236957534 5792450324 6473915068 11584900648 12947830136 27514139039 55028278078 110056556156 220113112312