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22068212621301 = 327411432159093
BaseRepresentation
bin1010000010010001001111…
…11110010101111111110101
32220010200220200101112212100
411001020213332111333311
510343031144412340201
6114533555200212313
74435242611160000
oct501104776257765
986120820345770
1022068212621301
117039092786910
122584b7390a099
13c4103c8a1402
145641701b4537
152840a15b0886
hex141227f95ff5

22068212621301 has 120 divisors (see below), whose sum is σ = 41510879426016. Its totient is φ = 11197396566720.

The previous prime is 22068212621149. The next prime is 22068212621303. The reversal of 22068212621301 is 10312621286022.

22068212621301 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 8 + 21 + 2 + 621 + 3 + 0 + 1 = 666.

It is not a de Polignac number, because 22068212621301 - 215 = 22068212588533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22068212621303) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9141511 + ... + 11300603.

Almost surely, 222068212621301 is an apocalyptic number.

22068212621301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22068212621301 is a deficient number, since it is larger than the sum of its proper divisors (19442666804715).

22068212621301 is a wasteful number, since it uses less digits than its factorization.

22068212621301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159181 (or 2159157 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 22068212621301 in words is "twenty-two trillion, sixty-eight billion, two hundred twelve million, six hundred twenty-one thousand, three hundred one".

Divisors: 1 3 7 9 11 21 33 43 49 63 77 99 129 147 231 301 343 387 441 473 539 693 903 1029 1419 1617 2107 2401 2709 3087 3311 3773 4257 4851 6321 7203 9933 11319 14749 18963 21609 23177 26411 29799 33957 44247 69531 79233 103243 132741 162239 208593 237699 309729 486717 929187 1135673 1460151 2159093 3407019 6477279 10221057 15113651 19431837 23750023 45340953 71250069 92840999 105795557 136022859 166250161 213750207 278522997 317386671 498750483 649886993 740568899 835568991 952160013 1021250989 1163751127 1496251449 1949660979 2221706697 3063752967 3491253381 4549208951 5183982293 5848982937 6665120091 7148756923 8146257889 9191258901 10473760143 13647626853 15551946879 21446270769 24438773667 31844462657 40942880559 46655840637 50041298461 57023805223 64338812307 73316321001 95533387971 150123895383 171071415669 222911238599 286600163913 350289089227 450371686149 513214247007 668733715797 1050867267681 2006201147391 2452023624589 3152601803043 7356070873767 22068212621301