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2221330301112 = 23313411731003757
BaseRepresentation
bin100000010100110001100…
…110101000000010111000
321212100122022212002202210
4200110301212220002320
5242343241024113422
64420244241255120
7316325431010616
oct40246146500270
97770568762683
102221330301112
11787074054a0a
122ba6130344a0
13131616a451a0
14797277c46b6
153cbadd9610c
hex205319a80b8

2221330301112 has 128 divisors (see below), whose sum is σ = 6161789309760. Its totient is φ = 662960762880.

The previous prime is 2221330301089. The next prime is 2221330301119. The reversal of 2221330301112 is 2111030331222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221330301119) 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, 1711138 + ... + 2714894.

Almost surely, 22221330301112 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 2221330301112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080894654880).

2221330301112 is an abundant number, since it is smaller than the sum of its proper divisors (3940459008648).

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

2221330301112 is a wasteful number, since it uses less digits than its factorization.

2221330301112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003993 (or 1003989 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2221330301112 its reverse (2111030331222), we get a palindrome (4332360632334).

The spelling of 2221330301112 in words is "two trillion, two hundred twenty-one billion, three hundred thirty million, three hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 173 246 312 328 346 492 519 533 692 984 1038 1066 1384 1599 2076 2132 2249 3198 4152 4264 4498 6396 6747 7093 8996 12792 13494 14186 17992 21279 26988 28372 42558 53976 56744 85116 92209 170232 184418 276627 368836 553254 737672 1003757 1106508 2007514 2213016 3011271 4015028 6022542 8030056 12045084 13048841 24090168 26097682 39146523 41154037 52195364 78293046 82308074 104390728 123462111 156586092 164616148 173649961 246924222 313172184 329232296 347299922 493848444 520949883 535002481 694599844 987696888 1041899766 1070004962 1389199688 1605007443 2083799532 2140009924 2257449493 3210014886 4167599064 4280019848 4514898986 6420029772 6772348479 7119648401 9029797972 12840059544 13544696958 14239296802 18059595944 21358945203 27089393916 28478593604 42717890406 54178787832 56957187208 85435780812 92555429213 170871561624 185110858426 277666287639 370221716852 555332575278 740443433704 1110665150556 2221330301112