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2010013121322 = 2325315713419949
BaseRepresentation
bin11101001111111110000…
…111100011101100101010
321010011012021022010011100
4131033332013203230222
5230413001324340242
64135215352542230
7265134666426423
oct35177607435452
97104167263140
102010013121322
11705495008068
122856793b1976
1311770ab9702b
146d3dc66a64a
15374420cd54c
hex1d3fe1e3b2a

2010013121322 has 48 divisors (see below), whose sum is σ = 4465461522600. Its totient is φ = 653175709056.

The previous prime is 2010013121279. The next prime is 2010013121399. The reversal of 2010013121322 is 2231213100102.

2010013121322 is a `hidden beast` number, since 20 + 10 + 0 + 1 + 312 + 1 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1977648751521 + 32364369801 = 1406289^2 + 179901^2 .

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 = 2010013121295 and 2010013121304.

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, 6560197 + ... + 6859752.

Almost surely, 22010013121322 is an apocalyptic number.

2010013121322 is an abundant number, since it is smaller than the sum of its proper divisors (2455448401278).

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

2010013121322 is a wasteful number, since it uses less digits than its factorization.

2010013121322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13420167 (or 13420164 counting only the distinct ones).

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

Adding to 2010013121322 its reverse (2231213100102), we get a palindrome (4241226221424).

The spelling of 2010013121322 in words is "two trillion, ten billion, thirteen million, one hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 53 106 157 159 314 318 471 477 942 954 1413 2826 8321 16642 24963 49926 74889 149778 13419949 26839898 40259847 80519694 120779541 241559082 711257297 1422514594 2106931993 2133771891 4213863986 4267543782 6320795979 6401315673 12641591958 12802631346 18962387937 37924775874 111667395629 223334791258 335002186887 670004373774 1005006560661 2010013121322