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23300223442011 = 352937883101203
BaseRepresentation
bin1010100110001000000011…
…00010101001110001011011
310001111110221122002211200000
411103010001202221301123
511023222324200121021
6121315550323544043
74623246154311645
oct523040142516133
9101443848084600
1023300223442011
11747362977432a
1227438a582b023
131000281016839
145a7a45c1b895
152a615b6c3b26
hex1531018a9c5b

23300223442011 has 96 divisors (see below), whose sum is σ = 37124120866560. Its totient is φ = 14575827740544.

The previous prime is 23300223441983. The next prime is 23300223442081. The reversal of 23300223442011 is 11024432200332.

23300223442011 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 0 + 2 + 234 + 420 + 1 + 1 = 666.

It is not a de Polignac number, because 23300223442011 - 213 = 23300223433819 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23300223442081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230181936 + ... + 230283138.

It is an arithmetic number, because the mean of its divisors is an integer number (386709592360).

Almost surely, 223300223442011 is an apocalyptic number.

23300223442011 is a deficient number, since it is larger than the sum of its proper divisors (13823897424549).

23300223442011 is a wasteful number, since it uses less digits than its factorization.

23300223442011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102167 (or 102155 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23300223442011 its reverse (11024432200332), we get a palindrome (34324655642343).

The spelling of 23300223442011 in words is "twenty-three trillion, three hundred billion, two hundred twenty-three million, four hundred forty-two thousand, eleven".

Divisors: 1 3 9 27 29 37 81 87 111 243 261 333 783 883 999 1073 2349 2649 2997 3219 7047 7947 8991 9657 23841 25607 28971 32671 71523 76821 86913 98013 101203 214569 230463 260739 294039 303609 691389 882117 910827 947459 2074167 2646351 2732481 2842377 2934887 3744511 6222501 7939053 8197443 8527131 8804661 11233533 24592329 25581393 26413983 33700599 76744179 79241949 89362249 101101797 108590819 230232537 237725847 268086747 303305391 325772457 713177541 804260241 909916173 977317371 2412780723 2591505221 2931952113 3306403213 7238342169 7774515663 8795856339 9919209639 21715026507 23323546989 26387569017 29757628917 69970640967 89272886751 95885693177 209911922901 267818660253 287657079531 629735768703 803455980759 862971238593 2588913715779 7766741147337 23300223442011