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22120100221131 = 351117961774929
BaseRepresentation
bin1010000011110001111001…
…01101110101000011001011
32220022122211211001201200000
411001320330231311003023
510344403431124034011
6115013500031414043
74442060463405153
oct501707455650313
986278754051600
1022120100221131
1170590999a5620
122593034984323
13c45bbb7227c3
145668934a1763
152855dba14356
hex141e3cb750cb

22120100221131 has 96 divisors (see below), whose sum is σ = 36408211257600. Its totient is φ = 13309442657280.

The previous prime is 22120100221127. The next prime is 22120100221151. The reversal of 22120100221131 is 13112200102122.

22120100221131 is a `hidden beast` number, since 2 + 212 + 0 + 100 + 221 + 131 = 666.

It is not a de Polignac number, because 22120100221131 - 22 = 22120100221127 is a prime.

It is a super-2 number, since 2×221201002211312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22120100221111) 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 95 ways as a sum of consecutive naturals, for example, 295176675 + ... + 295251603.

It is an arithmetic number, because the mean of its divisors is an integer number (379252200600).

Almost surely, 222120100221131 is an apocalyptic number.

22120100221131 is a deficient number, since it is larger than the sum of its proper divisors (14288111036469).

22120100221131 is a wasteful number, since it uses less digits than its factorization.

22120100221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75751 (or 75739 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 22120100221131 its reverse (13112200102122), we get a palindrome (35232300323253).

The spelling of 22120100221131 in words is "twenty-two trillion, one hundred twenty billion, one hundred million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 81 99 179 243 297 537 617 891 1611 1851 1969 2673 4833 5553 5907 6787 14499 16659 17721 20361 43497 49977 53163 61083 74929 110443 149931 159489 183249 224787 331329 478467 549747 674361 824219 993987 1214873 1649241 2023083 2472657 2981961 3644619 6069249 7417971 8945883 10933857 13412291 18207747 22253913 26837649 32801571 40236873 46231193 66761739 98404713 120710619 138693579 147535201 200285217 295214139 362131857 416080737 442605603 508543123 1086395571 1248242211 1327816809 1525629369 3259186713 3744726633 3983450427 4576888107 8275383547 11234179899 11950351281 13730664321 24826150641 35851053843 41191992963 74478451923 91029219017 123575978889 223435355769 273087657051 670306067307 819262971153 2010918201921 2457788913459 7373366740377 22120100221131