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105451213302301 = 5997337475911489
BaseRepresentation
bin10111111110100001000110…
…000111000010101000011101
3111211101001000100212100011211
4113332201012013002220131
5102310203041101133201
61012135341342144421
731132412240531566
oct2776410607025035
9454331010770154
10105451213302301
1130666676890059
12b9b1199b82111
1346ac011a893c9
141c07c1a28116d
15c2d064a46651
hex5fe8461c2a1d

105451213302301 has 32 divisors (see below), whose sum is σ = 108697863456000. Its totient is φ = 102260372078592.

The previous prime is 105451213302289. The next prime is 105451213302353. The reversal of 105451213302301 is 103203312154501.

It is a cyclic number.

It is not a de Polignac number, because 105451213302301 - 211 = 105451213300253 is a prime.

It is a super-2 number, since 2×1054512133023012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105451213302401) 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, 9178444365 + ... + 9178455853.

It is an arithmetic number, because the mean of its divisors is an integer number (3396808233000).

Almost surely, 2105451213302301 is an apocalyptic number.

It is an amenable number.

105451213302301 is a deficient number, since it is larger than the sum of its proper divisors (3246650153699).

105451213302301 is a wasteful number, since it uses less digits than its factorization.

105451213302301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16741.

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 105451213302301 its reverse (103203312154501), we get a palindrome (208654525456802).

The spelling of 105451213302301 in words is "one hundred five trillion, four hundred fifty-one billion, two hundred thirteen million, three hundred two thousand, three hundred one".

Divisors: 1 59 97 337 4759 5723 11489 19883 32689 280781 461623 677851 1114433 1603783 1928651 3871793 27235757 54676151 65751547 94623197 155566951 228435787 375563921 3225892909 5303586647 9178450109 18425862887 22158271339 312911612173 1087125910333 1787308700039 105451213302301