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241022220110001 = 3611751145927431
BaseRepresentation
bin110110110011010101011011…
…110100000000100010110001
31011121101111110221001001000000
4312303111123310000202301
5223042402001322010001
62212340025050220213
7101524165205061231
oct6663253364004261
91147344427031000
10241022220110001
116a884a498a7890
1223047879a24669
13a4643b444c955
144373775621cc1
151cce81b12da86
hexdb355bd008b1

241022220110001 has 112 divisors (see below), whose sum is σ = 395029543127040. Its totient is φ = 145774266300000.

The previous prime is 241022220109967. The next prime is 241022220110003. The reversal of 241022220110001 is 100011022220142.

241022220110001 is a `hidden beast` number, since 2 + 410 + 22 + 220 + 1 + 10 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 241022220110001 - 210 = 241022220108977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (241022220110003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8786476756 + ... + 8786504186.

Almost surely, 2241022220110001 is an apocalyptic number.

It is an amenable number.

241022220110001 is a deficient number, since it is larger than the sum of its proper divisors (154007323017039).

241022220110001 is a wasteful number, since it uses less digits than its factorization.

241022220110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29670 (or 29655 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 241022220110001 its reverse (100011022220142), we get a palindrome (341033242330143).

The spelling of 241022220110001 in words is "two hundred forty-one trillion, twenty-two billion, two hundred twenty million, one hundred ten thousand, one".

Divisors: 1 3 9 11 27 33 81 99 243 297 729 751 891 1459 2253 2673 4377 6759 8019 8261 13131 16049 20277 24783 27431 39393 48147 60831 74349 82293 118179 144441 182493 223047 246879 301741 354537 433323 547479 669141 740637 905223 1063611 1095709 1299969 2007423 2221911 2715669 3287127 3899907 6022269 6665733 8147007 9861381 11699721 12052799 19997199 20600681 24441021 29584143 36158397 40021829 61802043 73323063 88752429 108475191 120065487 185406129 219969189 226607491 266257287 325425573 360196461 440240119 556218387 679822473 798771861 976276719 1080589383 1320720357 1668655161 2039467419 2928830157 3241768149 3962161071 5005965483 6118402257 8786490471 9725304447 11886483213 15017896449 18355206771 29175913341 30056393579 35659449639 55065620313 90169180737 106978348917 165196860939 270507542211 320935046751 330620329369 811522626633 991860988107 2434567879899 2975582964321 7303703639697 8926748892963 21911110919091 26780246678889 80340740036667 241022220110001