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41012233321122 = 2347180492003767
BaseRepresentation
bin10010101001100111001111…
…00110010011101010100010
312101012201202001111112120000
421110303213212103222202
520333421023212233442
6223120432045200430
711432015242234020
oct1124634746235242
9171181661445500
1041012233321122
1112082210583208
124724541b60116
1319b658b14a94b
14a1b007517710
154b1c50440d4c
hex254ce7993aa2

41012233321122 has 80 divisors (see below), whose sum is σ = 105031908009600. Its totient is φ = 11717125880832.

The previous prime is 41012233321121. The next prime is 41012233321211. The reversal of 41012233321122 is 22112333221014.

41012233321122 is a `hidden beast` number, since 4 + 101 + 2 + 233 + 321 + 1 + 2 + 2 = 666.

41012233321122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×410122333211222 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41012233321121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19465683 + ... + 21469449.

It is an arithmetic number, because the mean of its divisors is an integer number (1312898850120).

Almost surely, 241012233321122 is an apocalyptic number.

41012233321122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

41012233321122 is an abundant number, since it is smaller than the sum of its proper divisors (64019674688478).

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

41012233321122 is a wasteful number, since it uses less digits than its factorization.

41012233321122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021837 (or 2021828 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 41012233321122 its reverse (22112333221014), we get a palindrome (63124566542136).

The spelling of 41012233321122 in words is "forty-one trillion, twelve billion, two hundred thirty-three million, three hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 18049 36098 54147 108294 126343 162441 252686 324882 379029 487323 758058 974646 1137087 1461969 2003767 2274174 2923938 3411261 4007534 6011301 6822522 10233783 12022602 14026369 18033903 20467566 28052738 36067806 42079107 54101709 84158214 108203418 126237321 162305127 252474642 324610254 378711963 757423926 1136135889 2272271778 36165990583 72331981166 108497971749 216995943498 253161934081 325493915247 506323868162 650987830494 759485802243 976481745741 1518971604486 1952963491482 2278457406729 2929445237223 4556914813458 5858890474446 6835372220187 13670744440374 20506116660561 41012233321122