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41122022134512 = 24311194099085141
BaseRepresentation
bin10010101100110011101111…
…00001011001001011110000
312101121020010102112010100210
421112121313201121023300
520342220400131301022
6223243110212344120
711442653020606044
oct1126316741311360
9171536112463323
1041122022134512
111211482a49a730
124741882015040
1319c3a36974857
14a22460646024
154b4a28c1ea0c
hex2566778592f0

41122022134512 has 80 divisors (see below), whose sum is σ = 121988773825920. Its totient is φ = 11805365203200.

The previous prime is 41122022134489. The next prime is 41122022134513. The reversal of 41122022134512 is 21543122022114.

41122022134512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41122022134512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41122022134513) 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 15 ways as a sum of consecutive naturals, for example, 2049532539 + ... + 2049552602.

It is an arithmetic number, because the mean of its divisors is an integer number (1524859672824).

Almost surely, 241122022134512 is an apocalyptic number.

It is an amenable number.

41122022134512 is an abundant number, since it is smaller than the sum of its proper divisors (80866751691408).

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

41122022134512 is a wasteful number, since it uses less digits than its factorization.

41122022134512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099085182 (or 4099085176 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 41122022134512 its reverse (21543122022114), we get a palindrome (62665144156626).

The spelling of 41122022134512 in words is "forty-one trillion, one hundred twenty-two billion, twenty-two million, one hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 4099085141 8198170282 12297255423 16396340564 24594510846 32792681128 45089936551 49189021692 65585362256 77882617679 90179873102 98378043384 135269809653 155765235358 180359746204 196756086768 233647853037 270539619306 311530470716 360719492408 467295706074 541079238612 623060941432 721438984816 856708794469 934591412148 1082158477224 1246121882864 1713417588938 1869182824296 2164316954448 2570126383407 3426835177876 3738365648592 5140252766814 6853670355752 10280505533628 13707340711504 20561011067256 41122022134512