Search a number
-
+
22131010003221 = 3272331509967951
BaseRepresentation
bin1010000100000110001101…
…11111010110000100010101
32220100201000010202002012100
411002003012333112010111
510400043302030100341
6115022502354112313
74442625026130060
oct502030677260425
986321003662170
1022131010003221
117062788213359
12259517a57b699
13c46c39a4cc72
1456720a3a98d7
15285a296d23b6
hex1420c6fd6115

22131010003221 has 96 divisors (see below), whose sum is σ = 39429253693440. Its totient is φ = 11683233936000.

The previous prime is 22131010003181. The next prime is 22131010003247. The reversal of 22131010003221 is 12230001013122.

22131010003221 is a `hidden beast` number, since 2 + 21 + 310 + 10 + 0 + 0 + 322 + 1 = 666.

It is not a de Polignac number, because 22131010003221 - 29 = 22131010002709 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22131010003194 and 22131010003203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131010003261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22379796 + ... + 23347746.

It is an arithmetic number, because the mean of its divisors is an integer number (410721392640).

Almost surely, 222131010003221 is an apocalyptic number.

22131010003221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22131010003221 is a deficient number, since it is larger than the sum of its proper divisors (17298243690219).

22131010003221 is a wasteful number, since it uses less digits than its factorization.

22131010003221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968527 (or 968524 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22131010003221 its reverse (12230001013122), we get a palindrome (34361011016343).

The spelling of 22131010003221 in words is "twenty-two trillion, one hundred thirty-one billion, ten million, three thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 23 31 63 69 93 161 207 217 279 483 509 651 713 1449 1527 1953 2139 3563 4581 4991 6417 10689 11707 14973 15779 32067 35121 44919 47337 81949 105363 110453 142011 245847 331359 362917 737541 967951 994077 1088751 2540419 2903853 3266253 6775657 7621257 8711559 20326971 22262873 22863771 30006481 60980913 66788619 90019443 155840111 200365857 210045367 270058329 467520333 492687059 630136101 690149063 1402560999 1478061177 1890408303 2070447189 3448809413 4434183531 4831043441 6211341567 10346428239 11331802357 14493130323 15273298829 31039284717 33995407071 43479390969 45819896487 79322616499 101986221213 106913091803 137459689461 237967849497 320739275409 351285873067 713903548491 962217826227 1053857619201 2459001111469 3161572857603 7377003334407 22131010003221