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10055134140 = 2235373344893
BaseRepresentation
bin10010101110101010…
…10010101110111100
3221221202111201221120
421113111102232330
5131043103243030
64341432230540
7504114141612
oct112725225674
927852451846
1010055134140
11429a952117
121b4753b450
13c4325271c
146b55d56b2
153dcb4e010
hex257552bbc

10055134140 has 48 divisors (see below), whose sum is σ = 28162544928. Its totient is φ = 2680591104.

The previous prime is 10055134123. The next prime is 10055134183. The reversal of 10055134140 is 4143155001.

It is a happy number.

It is a super-2 number, since 2×100551341402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10055134140.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 201534 + ... + 246426.

It is an arithmetic number, because the mean of its divisors is an integer number (586719686).

Almost surely, 210055134140 is an apocalyptic number.

10055134140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10055134140 is an abundant number, since it is smaller than the sum of its proper divisors (18107410788).

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

10055134140 is a wasteful number, since it uses less digits than its factorization.

10055134140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48638 (or 48636 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 10055134140 its reverse (4143155001), we get a palindrome (14198289141).

The spelling of 10055134140 in words is "ten billion, fifty-five million, one hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3733 7466 11199 14932 18665 22398 37330 44796 44893 55995 74660 89786 111990 134679 179572 223980 224465 269358 448930 538716 673395 897860 1346790 2693580 167585569 335171138 502756707 670342276 837927845 1005513414 1675855690 2011026828 2513783535 3351711380 5027567070 10055134140