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122030211233106 = 23311436537316431
BaseRepresentation
bin11011101111110001011111…
…011001000111010101010010
3121000001222022020101112122000
4123233301133121013111102
5111443320333033424411
61111311523301254430
734463251252012101
oct3357613731072522
9530058266345560
10122030211233106
11359787a3a13640
121182a332a04416
135312526a44327
14221c418032038
15e19444a84956
hex6efc5f647552

122030211233106 has 128 divisors (see below), whose sum is σ = 303174212014080. Its totient is φ = 36063561441600.

The previous prime is 122030211233089. The next prime is 122030211233123. The reversal of 122030211233106 is 601332112030221.

122030211233106 is a `hidden beast` number, since 1 + 2 + 20 + 302 + 1 + 1 + 2 + 331 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (122030211233089) and next prime (122030211233123).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 122030211233106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13020711 + ... + 20337141.

It is an arithmetic number, because the mean of its divisors is an integer number (2368548531360).

Almost surely, 2122030211233106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122030211233106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151587106007040).

122030211233106 is an abundant number, since it is smaller than the sum of its proper divisors (181144000780974).

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

122030211233106 is a wasteful number, since it uses less digits than its factorization.

122030211233106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7317149 (or 7317143 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 122030211233106 its reverse (601332112030221), we get a palindrome (723362323263327).

The spelling of 122030211233106 in words is "one hundred twenty-two trillion, thirty billion, two hundred eleven million, two hundred thirty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 129 198 258 297 387 473 594 653 774 946 1161 1306 1419 1959 2322 2838 3918 4257 5877 7183 8514 11754 12771 14366 17631 21549 25542 28079 35262 43098 56158 64647 84237 129294 168474 193941 252711 308869 387882 505422 617738 758133 926607 1516266 1853214 2779821 5559642 7316431 8339463 14632862 16678926 21949293 43898586 65847879 80480741 131695758 160961482 197543637 241442223 314606533 395087274 482884446 629213066 724326669 943819599 1448653338 1887639198 2172980007 2831458797 3460671863 4345960014 4777629443 5662917594 6921343726 8494376391 9555258886 10382015589 14332888329 16988752782 20764031178 28665776658 31146046767 42998664987 52553923873 62292093534 85997329974 93438140301 105107847746 128995994961 157661771619 186876280602 205438066049 257991989922 315323543238 410876132098 472985314857 616314198147 945970629714 1232628396294 1418955944571 1848942594441 2259818726539 2837911889142 3697885188882 4519637453078 5546827783323 6779456179617 11093655566646 13558912359234 20338368538851 40676737077702 61015105616553 122030211233106