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105422431551 = 317191011077179
BaseRepresentation
bin110001000101110101…
…0101010010100111111
3101002010001220101221220
41202023222222110333
53211401120302201
6120232544324423
710421315611563
oct1421352522477
9332101811856
10105422431551
114078923a198
1218521913713
139c31034a18
1451612856a3
152b202d6036
hex188baaa53f

105422431551 has 32 divisors (see below), whose sum is σ = 158216198400. Its totient is φ = 62045452800.

The previous prime is 105422431537. The next prime is 105422431613. The reversal of 105422431551 is 155134224501.

It is not a de Polignac number, because 105422431551 - 25 = 105422431519 is a prime.

It is a super-2 number, since 2×1054224315512 (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 (105422438551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440721 + ... + 636458.

It is an arithmetic number, because the mean of its divisors is an integer number (4944256200).

Almost surely, 2105422431551 is an apocalyptic number.

105422431551 is a deficient number, since it is larger than the sum of its proper divisors (52793766849).

105422431551 is a wasteful number, since it uses less digits than its factorization.

105422431551 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077319.

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 105422431551 in words is "one hundred five billion, four hundred twenty-two million, four hundred thirty-one thousand, five hundred fifty-one".

Divisors: 1 3 17 19 51 57 101 303 323 969 1717 1919 5151 5757 32623 97869 1077179 3231537 18312043 20466401 54936129 61399203 108795079 326385237 347928817 1043786451 1849516343 2067106501 5548549029 6201319503 35140810517 105422431551