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10055122434 = 23478866951
BaseRepresentation
bin10010101110101010…
…01111111000000010
3221221202111010220000
421113111033320002
5131043102404214
64341432100430
7504114062520
oct112725177002
927852433800
1010055122434
11429a944345
121b47534716
13c4324a2b6
146b55d1310
153dcb4a809
hex25754fe02

10055122434 has 40 divisors (see below), whose sum is σ = 25749628608. Its totient is φ = 2872891800.

The previous prime is 10055122433. The next prime is 10055122457. The reversal of 10055122434 is 43422155001.

10055122434 is a `hidden beast` number, since 100 + 5 + 5 + 122 + 434 = 666.

10055122434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100551224342 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10055122398 and 10055122407.

It is not an unprimeable number, because it can be changed into a prime (10055122433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4432342 + ... + 4434609.

Almost surely, 210055122434 is an apocalyptic number.

10055122434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10055122434 is an abundant number, since it is smaller than the sum of its proper divisors (15694506174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10055122434 is an equidigital number, since it uses as much as digits as its factorization.

10055122434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8866972 (or 8866963 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10055122434 its reverse (43422155001), we get a palindrome (53477277435).

The spelling of 10055122434 in words is "ten billion, fifty-five million, one hundred twenty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 8866951 17733902 26600853 53201706 62068657 79802559 124137314 159605118 186205971 239407677 372411942 478815354 558617913 718223031 1117235826 1436446062 1675853739 3351707478 5027561217 10055122434