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201133220311023 = 371113293762420717
BaseRepresentation
bin101101101110110111111010…
…001001100010111111101111
3222101011010222221120110220220
4231232313322021202333233
5202330331313344423043
61551435154213342423
760236252462114010
oct5556677211427757
9871133887513826
10201133220311023
11590a6135373740
121a684b70637a13
13882ca2065c910
143794c850cb007
15183be0b22a483
hexb6edfa262fef

201133220311023 has 128 divisors (see below), whose sum is σ = 382554109163520. Its totient is φ = 90604917688320.

The previous prime is 201133220311013. The next prime is 201133220311043. The reversal of 201133220311023 is 320113022331102.

It is not a de Polignac number, because 201133220311023 - 24 = 201133220311007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201133220310984 and 201133220311002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201133220311013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27988140 + ... + 34432577.

It is an arithmetic number, because the mean of its divisors is an integer number (2988703977840).

Almost surely, 2201133220311023 is an apocalyptic number.

201133220311023 is a deficient number, since it is larger than the sum of its proper divisors (181420888852497).

201133220311023 is a wasteful number, since it uses less digits than its factorization.

201133220311023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62420817.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 201133220311023 its reverse (320113022331102), we get a palindrome (521246242642125).

The spelling of 201133220311023 in words is "two hundred one trillion, one hundred thirty-three billion, two hundred twenty million, three hundred eleven thousand, twenty-three".

Divisors: 1 3 7 11 13 21 29 33 37 39 77 87 91 111 143 203 231 259 273 319 377 407 429 481 609 777 957 1001 1073 1131 1221 1443 2233 2639 2849 3003 3219 3367 4147 5291 6699 7511 7917 8547 10101 11803 12441 13949 15873 22533 29029 35409 37037 41847 82621 87087 97643 111111 153439 247863 292929 460317 1074073 3222219 62420717 187262151 436945019 686627887 811469321 1310835057 1810200793 2059883661 2309566529 2434407963 4806395209 5430602379 5680285247 6928699587 8926162531 12671405551 14419185627 16166965703 17040855741 19912208723 23532610309 25405231819 26778487593 30024364877 38014216653 48500897109 59736626169 62483137717 66977429341 70597830927 76215695457 90073094631 139385461061 164728272163 177836622733 187449413151 200932288023 210170554139 258858713399 330268013647 418156383183 468842005387 494184816489 533509868199 630511662417 736751722751 776576140197 870706581433 990804040941 1406526016161 1812010993793 2210255168253 2311876095529 2612119744299 5157262059257 5436032981379 6094946070031 6935628286587 9577772395763 15471786177771 18284838210093 28733317187289 67044406770341 201133220311023