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13222202312112 = 24319109133009439
BaseRepresentation
bin1100000001101000100010…
…1011000000010110110000
31201211000211000100112021220
43000122020223000112300
53213113032242441422
644042110151145040
72533162333161333
oct300321053002660
951730730315256
1013222202312112
114238560559672
121596674975180
1374bb04a13081
14339d5aaac61a
1517de16d9de5c
hexc0688ac05b0

13222202312112 has 80 divisors (see below), whose sum is σ = 36284975232000. Its totient is φ = 4137125559552.

The previous prime is 13222202312063. The next prime is 13222202312113. The reversal of 13222202312112 is 21121320222231.

It is a super-3 number, since 3×132222023121123 (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13222202312113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66405312 + ... + 66604127.

It is an arithmetic number, because the mean of its divisors is an integer number (453562190400).

Almost surely, 213222202312112 is an apocalyptic number.

13222202312112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13222202312112 is an abundant number, since it is smaller than the sum of its proper divisors (23062772919888).

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

13222202312112 is a wasteful number, since it uses less digits than its factorization.

13222202312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133009578 (or 133009572 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13222202312112 its reverse (21121320222231), we get a palindrome (34343522534343).

The spelling of 13222202312112 in words is "thirteen trillion, two hundred twenty-two billion, two hundred two million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 109 114 152 218 228 304 327 436 456 654 872 912 1308 1744 2071 2616 4142 5232 6213 8284 12426 16568 24852 33136 49704 99408 133009439 266018878 399028317 532037756 798056634 1064075512 1596113268 2128151024 2527179341 3192226536 5054358682 6384453072 7581538023 10108717364 14498028851 15163076046 20217434728 28996057702 30326152092 40434869456 43494086553 57992115404 60652304184 86988173106 115984230808 121304608368 173976346212 231968461616 275462548169 347952692424 550925096338 695905384848 826387644507 1101850192676 1652775289014 2203700385352 3305550578028 4407400770704 6611101156056 13222202312112