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10134101230020 = 22325109516518921
BaseRepresentation
bin1001001101111000011110…
…0000010000000111000100
31022212210212221100120101100
42103132013200100013010
52312014114403330040
633315313011500100
72064110322112425
oct223360740200704
938783787316340
1010134101230020
113257936a48a49
121178081bb7630
13586845906081
142706c917d64c
15128927d75b30
hex937878101c4

10134101230020 has 72 divisors (see below), whose sum is σ = 31022126455320. Its totient is φ = 2677634081280.

The previous prime is 10134101229997. The next prime is 10134101230027. The reversal of 10134101230020 is 2003210143101.

10134101230020 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 410 + 1 + 230 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 831393828864 + 9302707401156 = 911808^2 + 3050034^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10134101229975 and 10134101230002.

It is not an unprimeable number, because it can be changed into a prime (10134101230027) 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 23 ways as a sum of consecutive naturals, for example, 258239841 + ... + 258279080.

It is an arithmetic number, because the mean of its divisors is an integer number (430862867435).

Almost surely, 210134101230020 is an apocalyptic number.

10134101230020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10134101230020 is an abundant number, since it is smaller than the sum of its proper divisors (20888025225300).

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

10134101230020 is a wasteful number, since it uses less digits than its factorization.

10134101230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516519045 (or 516519040 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10134101230020 its reverse (2003210143101), we get a palindrome (12137311373121).

The spelling of 10134101230020 in words is "ten trillion, one hundred thirty-four billion, one hundred one million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 6540 9810 19620 516518921 1033037842 1549556763 2066075684 2582594605 3099113526 4648670289 5165189210 6198227052 7747783815 9297340578 10330378420 15495567630 18594681156 23243351445 30991135260 46486702890 56300562389 92973405780 112601124778 168901687167 225202249556 281502811945 337803374334 506705061501 563005623890 675606748668 844508435835 1013410123002 1126011247780 1689016871670 2026820246004 2533525307505 3378033743340 5067050615010 10134101230020