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22113135312 = 2431074439719
BaseRepresentation
bin10100100110000010…
…111010101011010000
32010002002202122221120
4110212002322223100
5330241430312222
614054133122240
71411661356152
oct244602725320
963062678846
1022113135312
119418319944
124351789380
132115414468
1410dabd0ad2
1589652a15c
hex5260baad0

22113135312 has 80 divisors (see below), whose sum is σ = 57795586560. Its totient is φ = 7284923776.

The previous prime is 22113135307. The next prime is 22113135349. The reversal of 22113135312 is 21353131122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2270389 + ... + 2280107.

It is an arithmetic number, because the mean of its divisors is an integer number (722444832).

Almost surely, 222113135312 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 22113135312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28897793280).

22113135312 is an abundant number, since it is smaller than the sum of its proper divisors (35682451248).

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

22113135312 is a wasteful number, since it uses less digits than its factorization.

22113135312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10280 (or 10274 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

Adding to 22113135312 its reverse (21353131122), we get a palindrome (43466266434).

The spelling of 22113135312 in words is "twenty-two billion, one hundred thirteen million, one hundred thirty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 443 642 856 886 1284 1329 1712 1772 2568 2658 3544 5136 5316 7088 9719 10632 19438 21264 29157 38876 47401 58314 77752 94802 116628 142203 155504 189604 233256 284406 379208 466512 568812 758416 1039933 1137624 2079866 2275248 3119799 4159732 4305517 6239598 8319464 8611034 12479196 12916551 16638928 17222068 24958392 25833102 34444136 49916784 51666204 68888272 103332408 206664816 460690319 921380638 1382070957 1842761276 2764141914 3685522552 5528283828 7371045104 11056567656 22113135312