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126001106226 = 23317137256107
BaseRepresentation
bin111010101011001000…
…0000100110100110010
3110001020020022101122000
41311112100010310302
54031022240344401
6133514544554430
712050265505632
oct1652620046462
9401206271560
10126001106226
1149489381046
1220505622a16
13bb6057c7b8
1461543626c2
153426c5b186
hex1d56404d32

126001106226 has 32 divisors (see below), whose sum is σ = 296473193280. Its totient is φ = 39529758528.

The previous prime is 126001106219. The next prime is 126001106227. The reversal of 126001106226 is 622601100621.

126001106226 is a `hidden beast` number, since 1 + 26 + 0 + 0 + 1 + 10 + 622 + 6 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 126001106226.

It is not an unprimeable number, because it can be changed into a prime (126001106227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68627136 + ... + 68628971.

It is an arithmetic number, because the mean of its divisors is an integer number (9264787290).

Almost surely, 2126001106226 is an apocalyptic number.

126001106226 is an abundant number, since it is smaller than the sum of its proper divisors (170472087054).

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

126001106226 is a wasteful number, since it uses less digits than its factorization.

126001106226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137256135 (or 137256129 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 126001106226 its reverse (622601100621), we get a palindrome (748602206847).

The spelling of 126001106226 in words is "one hundred twenty-six billion, one million, one hundred six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 137256107 274512214 411768321 823536642 1235304963 2333353819 2470609926 3705914889 4666707638 7000061457 7411829778 14000122914 21000184371 42000368742 63000553113 126001106226