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16240122102431 = 17193731277105557
BaseRepresentation
bin1110110001010011001010…
…1101011000001010011111
32010111112121000212110202202
43230110302231120022133
54112034232224234211
654312335322042115
73264211236142163
oct354246255301237
963445530773682
1016240122102431
1151a1440603007
1219a354004933b
1390a58ac6b8a6
144020518b2ca3
151d269990553b
hexec532b5829f

16240122102431 has 32 divisors (see below), whose sum is σ = 18163356615360. Its totient is φ = 14430089558016.

The previous prime is 16240122102359. The next prime is 16240122102541. The reversal of 16240122102431 is 13420122104261.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 16240122102431 - 222 = 16240117908127 is a prime.

It is a super-2 number, since 2×162401221024312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16240122102394 and 16240122102403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16240122102031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153798905 + ... + 153904461.

It is an arithmetic number, because the mean of its divisors is an integer number (567604894230).

Almost surely, 216240122102431 is an apocalyptic number.

16240122102431 is a deficient number, since it is larger than the sum of its proper divisors (1923234512929).

16240122102431 is a wasteful number, since it uses less digits than its factorization.

16240122102431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107243.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 16240122102431 its reverse (13420122104261), we get a palindrome (29660244206692).

The spelling of 16240122102431 in words is "sixteen trillion, two hundred forty billion, one hundred twenty-two million, one hundred two thousand, four hundred thirty-one".

Divisors: 1 17 19 323 373 1277 6341 7087 21709 24263 105557 120479 412471 476321 1794469 2005583 8097457 9050099 34094911 39372761 134796289 153851683 669336937 748082459 2291536913 2561129491 12717401803 43539201347 50279015797 854743268549 955301300143 16240122102431