Search a number
-
+
13212751101057 = 3329413376191973
BaseRepresentation
bin1100000001000101010101…
…0101011111110010000001
31201210010102100020021002000
43000101111111133302001
53212434203240213212
644033504251014213
72532406201205214
oct300212525376201
951703370207060
1013212751101057
1142345505a4942
12159487773a369
1374ac59930ab1
143397017a177b
1517da622951dc
hexc045555fc81

13212751101057 has 128 divisors (see below), whose sum is σ = 20849040576000. Its totient is φ = 8255154216960.

The previous prime is 13212751101029. The next prime is 13212751101073. The reversal of 13212751101057 is 75010115721231.

13212751101057 is a `hidden beast` number, since 1 + 3 + 2 + 127 + 511 + 0 + 10 + 5 + 7 = 666.

It is not a de Polignac number, because 13212751101057 - 242 = 8814704589953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13212751101007) 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 127 ways as a sum of consecutive naturals, for example, 6696781123 + ... + 6696783095.

It is an arithmetic number, because the mean of its divisors is an integer number (162883129500).

Almost surely, 213212751101057 is an apocalyptic number.

It is an amenable number.

13212751101057 is a deficient number, since it is larger than the sum of its proper divisors (7636289474943).

13212751101057 is a wasteful number, since it uses less digits than its factorization.

13212751101057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 36.

Adding to 13212751101057 its reverse (75010115721231), we get a palindrome (88222866822288).

The spelling of 13212751101057 in words is "thirteen trillion, two hundred twelve billion, seven hundred fifty-one million, one hundred one thousand, fifty-seven".

Divisors: 1 3 9 27 29 41 87 123 261 337 369 619 783 1011 1107 1189 1857 1973 3033 3567 5571 5919 9099 9773 10701 13817 16713 17757 17951 25379 29319 32103 41451 53271 53853 57217 76137 80893 87957 124353 161559 171651 208603 228411 242679 263871 373059 400693 484677 514953 625809 664901 685233 728037 735991 1202079 1221287 1544859 1877427 1994703 2184111 2207973 2345897 3606237 3663861 5632281 5984109 6049487 6623919 7037691 8552723 10818711 10991583 17952327 18148461 19282129 19871757 21113073 25658169 27260941 32974749 35417323 50072767 54445383 57846387 63339219 76974507 81782823 106251969 150218301 163336149 173539161 230923521 245348469 248028967 318755907 411573719 450654903 520617483 736045407 744086901 790567289 956267721 1234721157 1351964709 1452110243 2232260703 2371701867 3704163471 4356330729 6696782109 7115105601 11112490413 11935637851 13068992187 16874522479 21345316803 35806913553 39206976561 50623567437 107420740659 151870702311 322262221977 455612106933 489361151891 1468083455673 4404250367019 13212751101057