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112214012433201 = 33719306110208651
BaseRepresentation
bin11001100000111011011100…
…010110011001001100110001
3112201022112222110112200022000
4121200323130112121030301
5104202003244140330301
61034354223342004213
732431123556632560
oct3140733426311461
9481275873480260
10112214012433201
1132833771672688
12107039b1876669
134a7c974bc7a93
141d9d2898a3bd7
15ce8e25e01786
hex660edc599331

112214012433201 has 64 divisors (see below), whose sum is σ = 200056911513600. Its totient is φ = 60727583736000.

The previous prime is 112214012433179. The next prime is 112214012433217. The reversal of 112214012433201 is 102334210412211.

112214012433201 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 1 + 401 + 24 + 33 + 201 = 666.

It is not a de Polignac number, because 112214012433201 - 25 = 112214012433169 is a prime.

It is a super-2 number, since 2×1122140124332012 (a number of 29 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112214012433001) 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 63 ways as a sum of consecutive naturals, for example, 5887726 + ... + 16096376.

It is an arithmetic number, because the mean of its divisors is an integer number (3125889242400).

Almost surely, 2112214012433201 is an apocalyptic number.

It is an amenable number.

112214012433201 is a deficient number, since it is larger than the sum of its proper divisors (87842899080399).

112214012433201 is a wasteful number, since it uses less digits than its factorization.

112214012433201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10211747 (or 10211741 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 112214012433201 its reverse (102334210412211), we get a palindrome (214548222845412).

The spelling of 112214012433201 in words is "one hundred twelve trillion, two hundred fourteen billion, twelve million, four hundred thirty-three thousand, two hundred one".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 3061 3591 9183 21427 27549 58159 64281 82647 174477 192843 407113 523431 578529 1221339 1570293 3664017 10208651 10992051 30625953 71460557 91877859 193964369 214381671 275633577 581893107 643145013 1357750583 1745679321 1929435039 4073251749 5237037963 12219755247 31248680711 36659265741 93746042133 218740764977 281238126399 593724933509 656222294931 843714379197 1781174800527 1968666884793 4156074534563 5343524401581 5906000654379 12468223603689 16030573204743 37404670811067 112214012433201