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10013310302220 = 22325317175487387
BaseRepresentation
bin1001000110110110011111…
…0011011011100000001100
31022110021002210220122220200
42101231213303123200030
52303024224414132340
633144015023013500
72052303110140161
oct221554763334014
938407083818820
1010013310302220
11321069168a095
12115879143a290
135783358c42b4
1426890ab90068
1512570873b330
hex91b67cdb80c

10013310302220 has 72 divisors (see below), whose sum is σ = 30469524203664. Its totient is φ = 2661792670848.

The previous prime is 10013310302197. The next prime is 10013310302231. The reversal of 10013310302220 is 2220301331001.

10013310302220 is a `hidden beast` number, since 1 + 0 + 0 + 133 + 10 + 302 + 220 = 666.

10013310302220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10013310302193 and 10013310302202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87686634 + ... + 87800753.

It is an arithmetic number, because the mean of its divisors is an integer number (423187836162).

Almost surely, 210013310302220 is an apocalyptic number.

10013310302220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013310302220 is an abundant number, since it is smaller than the sum of its proper divisors (20456213901444).

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

10013310302220 is a wasteful number, since it uses less digits than its factorization.

10013310302220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175487719 (or 175487714 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10013310302220 its reverse (2220301331001), we get a palindrome (12233611633221).

The spelling of 10013310302220 in words is "ten trillion, thirteen billion, three hundred ten million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 317 634 951 1268 1585 1902 2853 3170 3804 4755 5706 6340 9510 11412 14265 19020 28530 57060 175487387 350974774 526462161 701949548 877436935 1052924322 1579386483 1754873870 2105848644 2632310805 3158772966 3509747740 5264621610 6317545932 7896932415 10529243220 15793864830 31587729660 55629501679 111259003358 166888505037 222518006716 278147508395 333777010074 500665515111 556295016790 667554020148 834442525185 1001331030222 1112590033580 1668885050370 2002662060444 2503327575555 3337770100740 5006655151110 10013310302220