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112012001001 = 3289461303341
BaseRepresentation
bin110100001010001101…
…1110111111011101001
3101201010022100012212200
41220110123313323221
53313400033013001
6123242501530413
711043522204405
oct1502433677351
9351108305780
10112012001001
114355a94425a
1219860713a09
13a7412b6844
1455c84c4105
152da8a7b086
hex1a146f7ee9

112012001001 has 24 divisors (see below), whose sum is σ = 163968484680. Its totient is φ = 73675219200.

The previous prime is 112012000979. The next prime is 112012001011. The reversal of 112012001001 is 100100210211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23431955625 + 88580045376 = 153075^2 + 297624^2 .

It is not a de Polignac number, because 112012001001 - 29 = 112012000489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (112012001011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217591 + ... + 520931.

It is an arithmetic number, because the mean of its divisors is an integer number (6832020195).

Almost surely, 2112012001001 is an apocalyptic number.

It is an amenable number.

112012001001 is a deficient number, since it is larger than the sum of its proper divisors (51956483679).

112012001001 is a wasteful number, since it uses less digits than its factorization.

112012001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303897 (or 303894 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112012001001 its reverse (100100210211), we get a palindrome (212112211212).

The spelling of 112012001001 in words is "one hundred twelve billion, twelve million, one thousand, one".

Divisors: 1 3 9 89 267 461 801 1383 4149 41029 123087 303341 369261 910023 2730069 26997349 80992047 139840201 242976141 419520603 1258561809 12445777889 37337333667 112012001001