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201001323211101 = 34731101649117443
BaseRepresentation
bin101101101100111101000100…
…011110000010100101011101
3222100200112112210220120110000
4231230331010132002211131
5202321201202220223401
61551254422205004513
760223603111216050
oct5554750436024535
9870615483816400
10201001323211101
115905520094a336
121a6634a0553739
13882046072b56a
14378c731ab0a97
15183878ba7d186
hexb6cf4478295d

201001323211101 has 160 divisors (see below), whose sum is σ = 357808041271296. Its totient is φ = 110029019760000.

The previous prime is 201001323211093. The next prime is 201001323211111. The reversal of 201001323211101 is 101112323100102.

201001323211101 is a `hidden beast` number, since 2 + 0 + 100 + 132 + 321 + 110 + 1 = 666.

It is not a de Polignac number, because 201001323211101 - 23 = 201001323211093 is a prime.

It is a super-2 number, since 2×2010013232111012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001323211111) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11523314286 + ... + 11523331728.

Almost surely, 2201001323211101 is an apocalyptic number.

201001323211101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201001323211101 is a deficient number, since it is larger than the sum of its proper divisors (156806718060195).

201001323211101 is a wasteful number, since it uses less digits than its factorization.

201001323211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24085 (or 24076 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 201001323211101 its reverse (101112323100102), we get a palindrome (302113646311203).

The spelling of 201001323211101 in words is "two hundred one trillion, one billion, three hundred twenty-three million, two hundred eleven thousand, one hundred one".

Divisors: 1 3 7 9 21 27 31 63 81 93 101 189 217 279 303 567 651 707 837 909 1953 2121 2511 2727 3131 5859 6363 6491 8181 9393 17443 17577 19089 19473 21917 28179 45437 52329 57267 58419 65751 84537 122101 136311 156987 175257 197253 201221 253611 366303 408933 470961 525771 540733 591759 603663 655591 1098909 1226799 1408547 1412883 1622199 1761743 1775277 1810989 1966773 3296727 3680397 3785131 4225641 4589137 4866597 5285229 5432967 5900319 9890181 11355393 12332201 12676923 13767411 14599791 15855687 16298901 17700957 20323321 34066179 36996603 38030769 41302233 43799373 47567061 53102871 54614033 60969963 102198537 110989809 113222513 114092307 123906699 142263247 142701183 163842099 182909889 306595611 332969427 339667539 371720097 382298231 426789741 491526297 548729667 792557591 998908281 1019002617 1146894693 1280369223 1474578891 1646189001 2377672773 3057007851 3440684079 3509897903 3841107669 4423736673 7133018319 9171023553 10322052237 10529693709 11435473813 11523323007 21399054957 24569285321 30966156711 31589081127 34306421439 64197164871 73707855963 80048316691 94767243381 102919264317 221123567889 240144950073 284301730143 308757792951 354499688203 663370703667 720434850219 926273378853 1063499064609 1990112111001 2161304550657 2481497817421 3190497193827 6483913651971 7444493452263 9571491581481 22333480356789 28714474744443 67000441070367 201001323211101