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101022100122 = 231961109133277
BaseRepresentation
bin101111000010101100…
…0101110101010011010
3100122202101220102000210
41132011120232222122
53123343124200442
6114224154111550
710204264453146
oct1360530565232
9318671812023
10101022100122
1139930384049
12176b411b5b6
1396ac4b6c08
144c64ac2226
152963d3419c
hex178562ea9a

101022100122 has 64 divisors (see below), whose sum is σ = 218149430400. Its totient is φ = 31090625280.

The previous prime is 101022100079. The next prime is 101022100187. The reversal of 101022100122 is 221001220101.

It is a junction number, because it is equal to n+sod(n) for n = 101022100098 and 101022100107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691348 + ... + 824624.

It is an arithmetic number, because the mean of its divisors is an integer number (3408584850).

Almost surely, 2101022100122 is an apocalyptic number.

101022100122 is an abundant number, since it is smaller than the sum of its proper divisors (117127330278).

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

101022100122 is a wasteful number, since it uses less digits than its factorization.

101022100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133471.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101022100122 its reverse (221001220101), we get a palindrome (322023320223).

The spelling of 101022100122 in words is "one hundred one billion, twenty-two million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 19 38 57 61 109 114 122 183 218 327 366 654 1159 2071 2318 3477 4142 6213 6649 6954 12426 13298 19947 39894 126331 133277 252662 266554 378993 399831 757986 799662 2532263 5064526 7596789 8129897 14527193 15193578 16259794 24389691 29054386 43581579 48779382 87163158 154468043 276016667 308936086 463404129 552033334 828050001 886158773 926808258 1656100002 1772317546 2658476319 5316952638 16837016687 33674033374 50511050061 101022100122