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101120133222 = 23261449205111
BaseRepresentation
bin101111000101100111…
…0101100100001100110
3100200000020101000011100
41132023032230201212
53124043223230342
6114242015220530
710206564644013
oct1361316544146
9320006330140
10101120133222
1139980751839
1217720b17746
1396c68bc374
144c73b2070a
15296c74ae4c
hex178b3ac866

101120133222 has 48 divisors (see below), whose sum is σ = 223182367200. Its totient is φ = 33080140800.

The previous prime is 101120133221. The next prime is 101120133223. The reversal of 101120133222 is 222331021101.

It is an interprime number because it is at equal distance from previous prime (101120133221) and next prime (101120133223).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101120133195 and 101120133204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120133221) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 390447 + ... + 595557.

It is an arithmetic number, because the mean of its divisors is an integer number (4649632650).

Almost surely, 2101120133222 is an apocalyptic number.

101120133222 is an abundant number, since it is smaller than the sum of its proper divisors (122062233978).

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

101120133222 is a wasteful number, since it uses less digits than its factorization.

101120133222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205629 (or 205626 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101120133222 its reverse (222331021101), we get a palindrome (323451154323).

The spelling of 101120133222 in words is "one hundred one billion, one hundred twenty million, one hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 61 122 183 366 449 549 898 1098 1347 2694 4041 8082 27389 54778 82167 164334 205111 246501 410222 493002 615333 1230666 1845999 3691998 12511771 25023542 37535313 75070626 92094839 112605939 184189678 225211878 276284517 552569034 828853551 1657707102 5617785179 11235570358 16853355537 33706711074 50560066611 101120133222