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112122011001 = 371113223167429
BaseRepresentation
bin110100001101011111…
…1100001110101111001
3101201101222100022020010
41220122333201311321
53314111213323001
6123301431452133
711046326240310
oct1503277416571
9351358308203
10112122011001
1143606a52410
1219891527049
13a75b023610
1455d8d5d277
152db355b8d6
hex1a1afe1d79

112122011001 has 64 divisors (see below), whose sum is σ = 201623224320. Its totient is φ = 53523383040.

The previous prime is 112122010999. The next prime is 112122011011. The reversal of 112122011001 is 100110221211.

It is not a de Polignac number, because 112122011001 - 21 = 112122010999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112122011011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 585955 + ... + 753383.

It is an arithmetic number, because the mean of its divisors is an integer number (3150362880).

Almost surely, 2112122011001 is an apocalyptic number.

112122011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112122011001 is a deficient number, since it is larger than the sum of its proper divisors (89501213319).

112122011001 is a wasteful number, since it uses less digits than its factorization.

112122011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167686.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112122011001 its reverse (100110221211), we get a palindrome (212232232212).

The spelling of 112122011001 in words is "one hundred twelve billion, one hundred twenty-two million, eleven thousand, one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 223 231 273 429 669 1001 1561 2453 2899 3003 4683 7359 8697 17171 20293 31889 51513 60879 95667 167429 223223 502287 669669 1172003 1841719 2176577 3516009 5525157 6529731 12892033 15236039 23942347 37336667 38676099 45708117 71827041 112010001 167596429 261356669 410703337 485376671 502789287 784070007 1232110011 1456130013 2874923359 3397636697 5339143381 8624770077 10192910091 16017430143 37374003667 112122011001