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21255441124401 = 3311229257872951
BaseRepresentation
bin1001101010100111010110…
…00001001000110000110001
32210021000000020102112202000
410311103223001020300301
510241222120411440101
6113112340450244213
74322440434350061
oct465235301106061
983230006375660
1021255441124401
116855422428500
122473544286669
13bb24c19a9ba3
14536aa99a53a1
1526cd81e56486
hex1354eb048c31

21255441124401 has 96 divisors (see below), whose sum is σ = 35945369913600. Its totient is φ = 12389465088000.

The previous prime is 21255441124391. The next prime is 21255441124481. The reversal of 21255441124401 is 10442114455212.

It is a happy number.

21255441124401 is a `hidden beast` number, since 2 + 1 + 2 + 55 + 441 + 124 + 40 + 1 = 666.

It is not a de Polignac number, because 21255441124401 - 223 = 21255432735793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21255441124481) 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, 23912476 + ... + 24785426.

It is an arithmetic number, because the mean of its divisors is an integer number (374430936600).

Almost surely, 221255441124401 is an apocalyptic number.

It is an amenable number.

21255441124401 is a deficient number, since it is larger than the sum of its proper divisors (14689928789199).

21255441124401 is a wasteful number, since it uses less digits than its factorization.

21255441124401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873268 (or 873251 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 21255441124401 its reverse (10442114455212), we get a palindrome (31697555579613).

The spelling of 21255441124401 in words is "twenty-one trillion, two hundred fifty-five billion, four hundred forty-one million, one hundred twenty-four thousand, four hundred one".

Divisors: 1 3 9 11 27 29 33 87 99 121 257 261 297 319 363 771 783 957 1089 2313 2827 2871 3267 3509 6939 7453 8481 8613 10527 22359 25443 31097 31581 67077 76329 81983 93291 94743 201231 245949 279873 737847 839619 872951 901813 2213541 2618853 2705439 7856559 8116317 9602461 23569677 24348951 25315579 28807383 75946737 86422149 105627071 224348407 227840211 259266447 278471369 316881213 673045221 683520633 835414107 950643639 2019135663 2467832477 2506242321 2851930917 3063185059 6057406989 6506103803 7403497431 7518726963 9189555177 19518311409 22210492293 27146157247 27568665531 58554934227 66631476879 71567141833 81438471741 82705996593 175664802681 214701425499 244315415223 644104276497 732946245669 787238560163 1932312829491 2361715680489 7085147041467 21255441124401