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100124440434 = 2326535785109
BaseRepresentation
bin101110100111111100…
…0011011011101110010
3100120102211210120102200
41131033320123131302
53120023324043214
6113555130124030
710143114462414
oct1351770333562
9316384716380
10100124440434
113950a700037
12174a3580616
13959852c835
144bbb7b49b4
15291011ad09
hex174fe1b772

100124440434 has 24 divisors (see below), whose sum is σ = 216942155820. Its totient is φ = 33373910688.

The previous prime is 100124440379. The next prime is 100124440441. The reversal of 100124440434 is 434044421001.

100124440434 is a `hidden beast` number, since 10 + 0 + 1 + 244 + 404 + 3 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94454802225 + 5669638209 = 307335^2 + 75297^2 .

It is a super-2 number, since 2×1001244404342 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100124440398 and 100124440407.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1133872 + ... + 1218980.

Almost surely, 2100124440434 is an apocalyptic number.

100124440434 is an abundant number, since it is smaller than the sum of its proper divisors (116817715386).

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

100124440434 is a wasteful number, since it uses less digits than its factorization.

100124440434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150474 (or 150471 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 100124440434 its reverse (434044421001), we get a palindrome (534168861435).

The spelling of 100124440434 in words is "one hundred billion, one hundred twenty-four million, four hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 65357 85109 130714 170218 196071 255327 392142 510654 588213 765981 1176426 1531962 5562468913 11124937826 16687406739 33374813478 50062220217 100124440434