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10044322240212 = 22321321462227009
BaseRepresentation
bin1001001000101010000001…
…0000100101011011010100
31022120020011002100100020200
42102022200100211123110
52304031232443141322
633210144204300500
72054451445230441
oct222124020453324
938506132310220
1010044322240212
113222856060107
1211627a7241730
1357b238816270
1426a20d7729c8
151264211038ac
hex922a04256d4

10044322240212 has 36 divisors (see below), whose sum is σ = 27342877210740. Its totient is φ = 3090560689152.

The previous prime is 10044322240177. The next prime is 10044322240243. The reversal of 10044322240212 is 21204222344001.

It is a happy number.

10044322240212 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 432 + 224 + 0 + 2 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1997773057476 + 8046549182736 = 1413426^2 + 2836644^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10731113037 + ... + 10731113972.

It is an arithmetic number, because the mean of its divisors is an integer number (759524366965).

Almost surely, 210044322240212 is an apocalyptic number.

10044322240212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10044322240212 is an abundant number, since it is smaller than the sum of its proper divisors (17298554970528).

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

10044322240212 is a wasteful number, since it uses less digits than its factorization.

10044322240212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21462227032 (or 21462227027 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10044322240212 its reverse (21204222344001), we get a palindrome (31248544584213).

The spelling of 10044322240212 in words is "ten trillion, forty-four billion, three hundred twenty-two million, two hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 21462227009 42924454018 64386681027 85848908036 128773362054 193160043081 257546724108 279008951117 386320086162 558017902234 772640172324 837026853351 1116035804468 1674053706702 2511080560053 3348107413404 5022161120106 10044322240212