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1124142202134 = 232716275483567
BaseRepresentation
bin10000010110111100000…
…110001011110100010110
310222110121101212201002100
4100112330012023310112
5121404220400432014
62220231312422530
7144134202026340
oct20267406136426
93873541781070
101124142202134
113a3822a6a866
12161a48b47a46
13820106a3093
143c5a195c290
151e3951d1009
hex105bc18bd16

1124142202134 has 48 divisors (see below), whose sum is σ = 2785301595648. Its totient is φ = 320986019376.

The previous prime is 1124142202133. The next prime is 1124142202199. The reversal of 1124142202134 is 4312022414211.

1124142202134 is a `hidden beast` number, since 1 + 1 + 2 + 414 + 220 + 21 + 3 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1124142202098 and 1124142202107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124142202133) 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 23 ways as a sum of consecutive naturals, for example, 2536782 + ... + 2946785.

It is an arithmetic number, because the mean of its divisors is an integer number (58027116576).

Almost surely, 21124142202134 is an apocalyptic number.

1124142202134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1124142202134 is an abundant number, since it is smaller than the sum of its proper divisors (1661159393514).

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

1124142202134 is a wasteful number, since it uses less digits than its factorization.

1124142202134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485209 (or 5485206 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1124142202134 its reverse (4312022414211), we get a palindrome (5436164616345).

The spelling of 1124142202134 in words is "one trillion, one hundred twenty-four billion, one hundred forty-two million, two hundred two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1627 3254 4881 9762 11389 14643 22778 29286 34167 68334 102501 205002 5483567 10967134 16450701 32901402 38384969 49352103 76769938 98704206 115154907 230309814 345464721 690929442 8921763509 17843527018 26765290527 53530581054 62452344563 80295871581 124904689126 160591743162 187357033689 374714067378 562071101067 1124142202134