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21111222011022 = 2321131325214061
BaseRepresentation
bin1001100110011010101101…
…11000111000010010001110
32202202012202100201111111100
410303031112320320102032
510231341240313323042
6112522210030203530
74306143522202503
oct463152670702216
982665670644440
1021111222011022
1167aa245503000
12244b5b56535a6
13ba1a19ca9500
1452db07ca74aa
15269240b2c24c
hex133356e3848e

21111222011022 has 144 divisors (see below), whose sum is σ = 54479481363216. Its totient is φ = 5905235793600.

The previous prime is 21111222011003. The next prime is 21111222011027. The reversal of 21111222011022 is 22011022211112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21111222010986 and 21111222011004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21111222011027) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1441872 + ... + 6655932.

It is an arithmetic number, because the mean of its divisors is an integer number (378329731689).

Almost surely, 221111222011022 is an apocalyptic number.

21111222011022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21111222011022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27239740681608).

21111222011022 is an abundant number, since it is smaller than the sum of its proper divisors (33368259352194).

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

21111222011022 is a wasteful number, since it uses less digits than its factorization.

21111222011022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5214128 (or 5214090 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21111222011022 its reverse (22011022211112), we get a palindrome (43122244222134).

The spelling of 21111222011022 in words is "twenty-one trillion, one hundred eleven billion, two hundred twenty-two million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 169 198 234 242 286 338 363 429 507 726 858 1014 1089 1287 1331 1521 1573 1859 2178 2574 2662 3042 3146 3718 3993 4719 5577 7986 9438 11154 11979 14157 16731 17303 20449 23958 28314 33462 34606 40898 51909 61347 103818 122694 155727 184041 224939 311454 368082 449878 674817 1349634 2024451 4048902 5214061 10428122 15642183 31284366 46926549 57354671 67782793 93853098 114709342 135565586 172064013 203348379 344128026 406696758 516192039 610045137 630901381 745610723 881176309 1032384078 1220090274 1261802762 1491221446 1762352618 1892704143 2236832169 2643528927 3785408286 4473664338 5287057854 5678112429 6710496507 6939915191 7930586781 8201717953 9692939399 11356224858 13420993014 13879830382 15861173562 16403435906 19385878798 20819745573 24605153859 29078818197 41639491146 49210307718 58157636394 62459236719 73815461577 87236454591 90218897483 106622333389 124918473438 147630923154 174472909182 180437794966 213244666778 270656692449 319867000167 541313384898 639734000334 811970077347 959601000501 1172845667279 1623940154694 1919202001002 2345691334558 3518537001837 7037074003674 10555611005511 21111222011022