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21145431351 = 31121767199257
BaseRepresentation
bin10011101100010111…
…011010110100110111
32000120122212012200010
4103230113122310313
5321301212300401
613414123551303
71346001125622
oct235427326467
960518765603
1021145431351
118a71054600
12412168b533
131cbcaa4375
14104848cdb9
1583b5c7ed6
hex4ec5dad37

21145431351 has 96 divisors (see below), whose sum is σ = 33600268800. Its totient is φ = 11775836160.

The previous prime is 21145431323. The next prime is 21145431353. The reversal of 21145431351 is 15313454112.

It is not a de Polignac number, because 21145431351 - 227 = 21011213623 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21145431353) 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, 82277815 + ... + 82278071.

It is an arithmetic number, because the mean of its divisors is an integer number (350002800).

Almost surely, 221145431351 is an apocalyptic number.

21145431351 is a deficient number, since it is larger than the sum of its proper divisors (12454837449).

21145431351 is a wasteful number, since it uses less digits than its factorization.

21145431351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 554 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

Adding to 21145431351 its reverse (15313454112), we get a palindrome (36458885463).

The spelling of 21145431351 in words is "twenty-one billion, one hundred forty-five million, four hundred thirty-one thousand, three hundred fifty-one".

Divisors: 1 3 11 17 33 51 67 121 187 199 201 257 363 561 597 737 771 1139 2057 2189 2211 2827 3383 3417 4369 6171 6567 8107 8481 10149 12529 13107 13333 17219 24079 24321 31097 37213 37587 39999 48059 51143 51657 72237 93291 111639 137819 144177 146663 153429 189409 226661 292723 409343 413457 439989 528649 562573 568227 679983 869431 878169 1228029 1585947 1613293 1687719 2083499 2493271 2608293 3219953 3426581 4839879 6188303 6250497 7479813 9563741 9659859 10279743 18564909 27425981 28691223 35419483 37692391 58251877 82277943 105201151 106258449 113077173 174755631 315603453 414616301 640770647 1243848903 1922311941 7048477117 21145431351