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122422143030 = 235112113794639
BaseRepresentation
bin111001000000011101…
…1011010100000110110
3102200222210212020002120
41302000323122200312
54001210032034110
6132123455220410
711562510021615
oct1620073324066
9380883766076
10122422143030
1147a12121020
121b886b17706
13b70cc569b5
145cd4ccb87c
1532b7952870
hex1c80eda836

122422143030 has 128 divisors (see below), whose sum is σ = 322961817600. Its totient is φ = 29453155200.

The previous prime is 122422143023. The next prime is 122422143031. The reversal of 122422143030 is 30341224221.

It is a happy number.

It is a super-2 number, since 2×1224221430302 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122422143031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26387451 + ... + 26392089.

It is an arithmetic number, because the mean of its divisors is an integer number (2523139200).

Almost surely, 2122422143030 is an apocalyptic number.

122422143030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122422143030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161480908800).

122422143030 is an abundant number, since it is smaller than the sum of its proper divisors (200539674570).

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

122422143030 is a wasteful number, since it uses less digits than its factorization.

122422143030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 122422143030 its reverse (30341224221), we get a palindrome (152763367251).

The spelling of 122422143030 in words is "one hundred twenty-two billion, four hundred twenty-two million, one hundred forty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 211 330 379 422 633 758 1055 1137 1266 1895 2110 2274 2321 3165 3790 4169 4639 4642 5685 6330 6963 8338 9278 11370 11605 12507 13917 13926 20845 23195 23210 25014 27834 34815 41690 46390 51029 62535 69585 69630 79969 102058 125070 139170 153087 159938 239907 255145 306174 399845 479814 510290 765435 799690 879659 978829 1199535 1530870 1758181 1759318 1957658 2399070 2638977 2936487 3516362 4398295 4894145 5274543 5277954 5872974 8790905 8796590 9788290 10549086 10767119 13194885 14682435 17581810 19339991 21534238 26372715 26389770 29364870 32301357 38679982 52745430 53835595 58019973 64602714 96699955 107671190 116039946 161506785 193399910 290099865 323013570 370976191 580199730 741952382 1112928573 1854880955 2225857146 3709761910 4080738101 5564642865 8161476202 11129285730 12242214303 20403690505 24484428606 40807381010 61211071515 122422143030