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112221201001 = 71312011026811
BaseRepresentation
bin110100010000011100…
…1111010001001101001
3101201122212222200022211
41220200321322021221
53314312111413001
6123315333445121
711051642320060
oct1504071721151
9351585880284
10112221201001
1143657a40318
12198ba7a07a1
13a775742520
1456081bd1d7
152dbc101351
hex1a20e7a269

112221201001 has 16 divisors (see below), whose sum is σ = 138233538688. Its totient is φ = 88716384000.

The previous prime is 112221200999. The next prime is 112221201007. The reversal of 112221201001 is 100102122211.

112221201001 = T358 + T359 + ... + T8764.

It is a cyclic number.

It is not a de Polignac number, because 112221201001 - 21 = 112221200999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (112221201007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404115 + ... + 622696.

It is an arithmetic number, because the mean of its divisors is an integer number (8639596168).

Almost surely, 2112221201001 is an apocalyptic number.

It is an amenable number.

112221201001 is a deficient number, since it is larger than the sum of its proper divisors (26012337687).

112221201001 is a wasteful number, since it uses less digits than its factorization.

112221201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028032.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112221201001 its reverse (100102122211), we get a palindrome (212323323212).

The spelling of 112221201001 in words is "one hundred twelve billion, two hundred twenty-one million, two hundred one thousand, one".

Divisors: 1 7 13 91 1201 8407 15613 109291 1026811 7187677 13348543 93439801 1233200011 8632400077 16031600143 112221201001