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41222041301112 = 23372232634183691
BaseRepresentation
bin10010101111101110000010…
…01000001111000001111000
312101221210021221020020020120
421113313001020033001320
520400340220033113422
6223401051102253240
711453123416522620
oct1127670110170170
9171853257206216
1041222041301112
11121531957269a1
124759136287220
131a002b6435279
14a2722c055880
154b742e99345c
hex257dc120f078

41222041301112 has 128 divisors (see below), whose sum is σ = 118755268853760. Its totient is φ = 11680326967680.

The previous prime is 41222041301101. The next prime is 41222041301227. The reversal of 41222041301112 is 21110314022214.

It is a super-3 number, since 3×412220413011123 (a number of 42 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 7761187 + ... + 11944877.

It is an arithmetic number, because the mean of its divisors is an integer number (927775537920).

Almost surely, 241222041301112 is an apocalyptic number.

41222041301112 is a gapful number since it is divisible by the number (42) 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 41222041301112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59377634426880).

41222041301112 is an abundant number, since it is smaller than the sum of its proper divisors (77533227552648).

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

41222041301112 is a wasteful number, since it uses less digits than its factorization.

41222041301112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184193 (or 4184189 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 41222041301112 its reverse (21110314022214), we get a palindrome (62332355323326).

The spelling of 41222041301112 in words is "forty-one trillion, two hundred twenty-two billion, forty-one million, three hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 223 263 446 526 669 789 892 1052 1338 1561 1578 1784 1841 2104 2676 3122 3156 3682 4683 5352 5523 6244 6312 7364 9366 11046 12488 14728 18732 22092 37464 44184 58649 117298 175947 234596 351894 410543 469192 703788 821086 1231629 1407576 1642172 2463258 3284344 4183691 4926516 8367382 9853032 12551073 16734764 25102146 29285837 33469528 50204292 58571674 87857511 100408584 117143348 175715022 234286696 351430044 702860088 932963093 1100310733 1865926186 2200621466 2798889279 3300932199 3731852372 4401242932 5597778558 6530741651 6601864398 7463704744 7702175131 8802485864 11195557116 13061483302 13203728796 15404350262 19592224953 22391114232 23106525393 26122966604 26407457592 30808700524 39184449906 46213050786 52245933208 61617401048 78368899812 92426101572 156737799624 184852203144 245369293459 490738586918 736107880377 981477173836 1472215760754 1717585054213 1962954347672 2944431521508 3435170108426 5152755162639 5888863043016 6870340216852 10305510325278 13740680433704 20611020650556 41222041301112