Search a number
-
+
2022010212112 = 2411712572772273
BaseRepresentation
bin11101011011001001001…
…100110100111100010000
321011022011100221110211021
4131123021030310330100
5231112034103241422
64144522040125224
7266041204135462
oct35331114647420
97138140843737
102022010212112
1170a591061a30
12287a67166814
131188a0550617
146dc19b2c132
15378e5476dc7
hex1d6c9334f10

2022010212112 has 160 divisors (see below), whose sum is σ = 4368480470784. Its totient is φ = 898970419200.

The previous prime is 2022010212083. The next prime is 2022010212137. The reversal of 2022010212112 is 2112120102202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 889576608 + ... + 889578880.

Almost surely, 22022010212112 is an apocalyptic number.

2022010212112 is a gapful number since it is divisible by the number (22) 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 2022010212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184240235392).

2022010212112 is an abundant number, since it is smaller than the sum of its proper divisors (2346470258672).

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

2022010212112 is a wasteful number, since it uses less digits than its factorization.

2022010212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2022010212112 its reverse (2112120102202), we get a palindrome (4134130314314).

The spelling of 2022010212112 in words is "two trillion, twenty-two billion, ten million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 257 277 284 514 554 568 781 1028 1108 1136 1562 2056 2216 2273 2827 3047 3124 4112 4432 4546 5654 6094 6248 9092 11308 12188 12496 18184 18247 19667 22616 24376 25003 36368 36494 39334 45232 48752 50006 71189 72988 78668 100012 142378 145976 157336 161383 200024 200717 216337 284756 291952 314672 322766 400048 401434 432674 569512 584161 629621 645532 783079 802868 865348 1139024 1168322 1259242 1291064 1566158 1605736 1730696 1775213 2336644 2518484 2582128 3132316 3211472 3461392 3550426 4673288 5036968 5054419 6264632 6425771 6925831 7100852 9346576 10073936 10108838 12529264 12851542 13851662 14201704 20217676 25703084 27703324 28403408 40435352 41475431 44703091 51406168 55406648 55598609 80870704 82950862 89406182 102812336 110813296 111197218 161812597 165901724 178812364 222394436 323625194 331803448 357624728 444788872 456229741 491734001 647250388 663606896 715249456 889577744 912459482 983468002 1294500776 1779938567 1824918964 1966936004 2589001552 3559877134 3649837928 3933872008 7119754268 7299675856 7867744016 11488694387 14239508536 22977388774 28479017072 45954777548 91909555096 126375638257 183819110192 252751276514 505502553028 1011005106056 2022010212112