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22010120423313 = 31131377110098117
BaseRepresentation
bin1010000000100101000010…
…11010001100011110010001
32212221010222010200010110220
411000102201122030132101
510341103211312021223
6114451150522543253
74431115205505201
oct500224132143621
985833863603426
1022010120423313
1170164921a3730
122575860967b29
13c3871247a069
1456141cc5a401
152828015ac6e3
hex1404a168c791

22010120423313 has 128 divisors (see below), whose sum is σ = 34457021153280. Its totient is φ = 12369563136000.

The previous prime is 22010120423303. The next prime is 22010120423323. The reversal of 22010120423313 is 31332402101022.

It is an interprime number because it is at equal distance from previous prime (22010120423303) and next prime (22010120423323).

It is not a de Polignac number, because 22010120423313 - 24 = 22010120423297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22010120423303) 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 127 ways as a sum of consecutive naturals, for example, 2711603731 + ... + 2711611847.

It is an arithmetic number, because the mean of its divisors is an integer number (269195477760).

Almost surely, 222010120423313 is an apocalyptic number.

It is an amenable number.

22010120423313 is a deficient number, since it is larger than the sum of its proper divisors (12446900729967).

22010120423313 is a wasteful number, since it uses less digits than its factorization.

22010120423313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9279.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22010120423313 its reverse (31332402101022), we get a palindrome (53342522524335).

The spelling of 22010120423313 in words is "twenty-two trillion, ten billion, one hundred twenty million, four hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 3 11 31 33 37 71 93 111 213 341 407 781 1009 1023 1147 1221 2201 2343 2627 3027 3441 6603 7881 8117 11099 12617 24211 24351 28897 31279 33297 37333 37851 71639 72633 81437 86691 89287 93837 111999 214917 244311 251627 267861 300329 344069 410663 576307 754881 788029 895807 900987 1032207 1157323 1231989 1728921 2220809 2364087 2650643 2687421 2767897 3303619 3471969 6339377 6662427 7951929 8190053 8303691 9310199 9910857 12730553 17865517 19018131 21323359 24428899 24570159 27930597 29157073 38191659 53596551 63970077 73286697 82169933 87471219 90090583 102412189 196520687 234556949 246509799 253891643 270271749 303031961 307236567 581493763 589562061 661024129 703670847 761674929 903869263 909095883 1744481289 1983072387 2711607789 2792808073 3333351571 6396431393 7271265419 8378424219 9393990791 10000054713 18026306653 19189294179 21515269231 21813796257 28181972373 54078919959 64545807693 103333898701 198289373183 236667961541 310001696103 594868119549 666973346161 710003884623 2000920038483 7336706807771 22010120423313