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31421412304101 = 345921161350833
BaseRepresentation
bin1110010010011110111100…
…00111100110010011100101
311010020212011020201022020000
413021033132013212103211
513104302023022212401
6150454444133531513
76422056613542641
oct711173607462345
9133225136638200
1031421412304101
11a014823100336
12363581b4a3b99
13146c0461b9a41
147a8b39673c21
15397522b7a186
hex1c93de1e64e5

31421412304101 has 80 divisors (see below), whose sum is σ = 48039130413120. Its totient is φ = 20461132500480.

The previous prime is 31421412304091. The next prime is 31421412304109. The reversal of 31421412304101 is 10140321412413.

It is a happy number.

31421412304101 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 14 + 1 + 230 + 410 + 1 = 666.

It is not a de Polignac number, because 31421412304101 - 225 = 31421378749669 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31421412304109) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 618104781 + ... + 618155613.

It is an arithmetic number, because the mean of its divisors is an integer number (600489130164).

Almost surely, 231421412304101 is an apocalyptic number.

It is an amenable number.

31421412304101 is a deficient number, since it is larger than the sum of its proper divisors (16617718109019).

31421412304101 is a wasteful number, since it uses less digits than its factorization.

31421412304101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51728 (or 51719 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 31421412304101 its reverse (10140321412413), we get a palindrome (41561733716514).

The spelling of 31421412304101 in words is "thirty-one trillion, four hundred twenty-one billion, four hundred twelve million, three hundred four thousand, one hundred one".

Divisors: 1 3 9 27 59 81 177 211 531 613 633 1593 1839 1899 4779 5517 5697 12449 16551 17091 36167 37347 49653 50833 108501 112041 129343 152499 325503 336123 388029 457497 976509 1008369 1164087 1372491 2929527 2999147 3492261 4117473 7631237 8997441 10476783 10725763 22893711 26992323 31160629 32177289 68681133 80976969 93481887 96531867 206043399 242930907 280445661 289595601 618130197 632820017 841336983 868786803 1838477111 1898460051 2524010949 5515431333 5695380153 6574892719 16546293999 17086140459 19724678157 49638881997 51258421377 59174034471 148916645991 177522103413 387918670421 532566310239 1163756011263 3491268033789 10473804101367 31421412304101