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101434401222 = 23711757290033
BaseRepresentation
bin101111001110111110…
…1100010000111000110
3100200211010201110210220
41132131331202013012
53130214201314342
6114333123125210
710220432120160
oct1363575420706
9320733643726
10101434401222
113a022090a60
12177aa213806
139746a4456b
144ca3769930
15298a1275ec
hex179df621c6

101434401222 has 64 divisors (see below), whose sum is σ = 253262329344. Its totient is φ = 26311703040.

The previous prime is 101434401163. The next prime is 101434401223. The reversal of 101434401222 is 222104434101.

It is a junction number, because it is equal to n+sod(n) for n = 101434401192 and 101434401201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101434401223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204718 + ... + 494750.

It is an arithmetic number, because the mean of its divisors is an integer number (3957223896).

Almost surely, 2101434401222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101434401222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126631164672).

101434401222 is an abundant number, since it is smaller than the sum of its proper divisors (151827928122).

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

101434401222 is a wasteful number, since it uses less digits than its factorization.

101434401222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290813.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101434401222 its reverse (222104434101), we get a palindrome (323538835323).

The spelling of 101434401222 in words is "one hundred one billion, four hundred thirty-four million, four hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 757 1514 2271 4542 5299 8327 10598 15897 16654 24981 31794 49962 58289 116578 174867 290033 349734 580066 870099 1740198 2030231 3190363 4060462 6090693 6380726 9571089 12181386 19142178 22332541 44665082 66997623 133995246 219554981 439109962 658664943 1317329886 1536884867 2415104791 3073769734 4610654601 4830209582 7245314373 9221309202 14490628746 16905733537 33811467074 50717200611 101434401222