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105422040493 = 7112192734723
BaseRepresentation
bin110001000101110100…
…1001010110110101101
3101002010001011112112021
41202023221022312231
53211401020243433
6120232532110141
710421312362510
oct1421351126655
9332101145467
10105422040493
1140788aa2400
1218521765351
139c30c28a23
1451611c2d77
152b2025a22d
hex188ba4adad

105422040493 has 72 divisors (see below), whose sum is σ = 141712517184. Its totient is φ = 76741188480.

The previous prime is 105422040491. The next prime is 105422040509. The reversal of 105422040493 is 394040224501.

It is not a de Polignac number, because 105422040493 - 21 = 105422040491 is a prime.

It is a super-2 number, since 2×1054220404932 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105422040491) 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 71 ways as a sum of consecutive naturals, for example, 22318630 + ... + 22323352.

Almost surely, 2105422040493 is an apocalyptic number.

It is an amenable number.

105422040493 is a deficient number, since it is larger than the sum of its proper divisors (36290476691).

105422040493 is a wasteful number, since it uses less digits than its factorization.

105422040493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4863 (or 4833 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 105422040493 its reverse (394040224501), we get a palindrome (499462264994).

The spelling of 105422040493 in words is "one hundred five billion, four hundred twenty-two million, forty thousand, four hundred ninety-three".

Divisors: 1 7 11 19 73 77 121 133 209 361 511 803 847 1387 1463 2299 2527 3971 4723 5621 8833 9709 15257 16093 26353 27797 33061 43681 51953 61831 89737 106799 167827 184471 289883 305767 344779 363671 571483 628159 987107 1174789 1705003 2029181 2413453 3188713 3792569 4000381 6550801 6909749 10858177 11935021 18755033 22320991 26547983 41718259 45855607 72058811 76007239 124465219 131285231 206305363 292027813 504411677 792646921 871256533 1369117409 1444137541 5548528447 9583821863 15060291499 105422040493