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112102222001 = 72111729634129
BaseRepresentation
bin110100001100111010…
…0000010100010110001
3101201100121002220211012
41220121310002202301
53314041132101001
6123255443400305
711045666110400
oct1503164024261
9351317086735
10112102222001
11435a6866670
1219886983095
13a756bb5253
1455d648b637
152db194d2bb
hex1a19d028b1

112102222001 has 48 divisors (see below), whose sum is σ = 150715131840. Its totient is φ = 82166353920.

The previous prime is 112102221997. The next prime is 112102222061. The reversal of 112102222001 is 100222201211.

It is not a de Polignac number, because 112102222001 - 22 = 112102221997 is a prime.

It is a super-2 number, since 2×1121022220012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112102222061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27147905 + ... + 27152033.

It is an arithmetic number, because the mean of its divisors is an integer number (3139898580).

Almost surely, 2112102222001 is an apocalyptic number.

112102222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112102222001 is a deficient number, since it is larger than the sum of its proper divisors (38612909839).

112102222001 is a wasteful number, since it uses less digits than its factorization.

112102222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7134 (or 7127 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112102222001 its reverse (100222201211), we get a palindrome (212324423212).

It can be divided in two parts, 11 and 2102222001, that added together give a palindrome (2102222012).

The spelling of 112102222001 in words is "one hundred twelve billion, one hundred two million, two hundred twenty-two thousand, one".

Divisors: 1 7 11 17 49 77 119 187 539 833 1309 2963 4129 9163 20741 28903 32593 45419 50371 70193 145187 202321 228151 317933 352597 491351 554081 772123 1597057 2225531 2468179 3439457 3878567 5404861 12234227 27149969 37834027 85639589 134576497 207981859 599477123 942035479 1455873013 2287800449 6594248353 10191111091 16014603143 112102222001