Search a number
-
+
122441101332 = 2231110135326017
BaseRepresentation
bin111001000001000001…
…1101111000000010100
3102201001010112101222220
41302002003233000110
54001224410220312
6132125413422340
711563130121624
oct1620203570024
9381033471886
10122441101332
1147a2189a740
121b89133a9b0
13b713b63c24
145cd7624884
1532b9449c8c
hex1c820ef014

122441101332 has 96 divisors (see below), whose sum is σ = 315657869184. Its totient is φ = 36630528000.

The previous prime is 122441101319. The next prime is 122441101333. The reversal of 122441101332 is 233101144221.

122441101332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122441101333) 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, 4693188 + ... + 4719204.

It is an arithmetic number, because the mean of its divisors is an integer number (3288102804).

Almost surely, 2122441101332 is an apocalyptic number.

122441101332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122441101332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157828934592).

122441101332 is an abundant number, since it is smaller than the sum of its proper divisors (193216767852).

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

122441101332 is a wasteful number, since it uses less digits than its factorization.

122441101332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26489 (or 26487 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 122441101332 its reverse (233101144221), we get a palindrome (355542245553).

The spelling of 122441101332 in words is "one hundred twenty-two billion, four hundred forty-one million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 353 404 606 706 1059 1111 1212 1412 2118 2222 3333 3883 4236 4444 6666 7766 11649 13332 15532 23298 26017 35653 46596 52034 71306 78051 104068 106959 142612 156102 213918 286187 312204 392183 427836 572374 784366 858561 1144748 1176549 1568732 1717122 2353098 2627717 3434244 4706196 5255434 7883151 9184001 10510868 15766302 18368002 27552003 28904887 31532604 36736004 55104006 57809774 86714661 101024011 110208012 115619548 173429322 202048022 303072033 346858644 404096044 606144066 927584101 1212288132 1855168202 2782752303 3710336404 5565504606 10203425111 11131009212 20406850222 30610275333 40813700444 61220550666 122441101332