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2120130131301 = 327136738637037
BaseRepresentation
bin11110110110100001100…
…110100111010101100101
321111200102111212211001100
4132312201212213111211
5234214011303200201
64301550242350313
7306113541526020
oct36664146472545
97450374784040
102120130131301
11748162207536
122a2a8b35b399
13124c096b1bc0
14748871cc1b7
153a2395da886
hex1eda19a7565

2120130131301 has 48 divisors (see below), whose sum is σ = 3825375858304. Its totient is φ = 1101619170432.

The previous prime is 2120130131297. The next prime is 2120130131333. The reversal of 2120130131301 is 1031310310212.

2120130131301 is a `hidden beast` number, since 2 + 1 + 201 + 30 + 131 + 301 = 666.

It is not a de Polignac number, because 2120130131301 - 22 = 2120130131297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120130130301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19263646 + ... + 19373391.

Almost surely, 22120130131301 is an apocalyptic number.

2120130131301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2120130131301 is a deficient number, since it is larger than the sum of its proper divisors (1705245727003).

2120130131301 is a wasteful number, since it uses less digits than its factorization.

2120130131301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38637130 (or 38637127 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2120130131301 its reverse (1031310310212), we get a palindrome (3151440441513).

The spelling of 2120130131301 in words is "two trillion, one hundred twenty billion, one hundred thirty million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 3 7 9 13 21 39 63 67 91 117 201 273 469 603 819 871 1407 2613 4221 6097 7839 18291 54873 38637037 115911111 270459259 347733333 502281481 811377777 1506844443 2434133331 2588681479 3515970367 4520533329 7766044437 10547911101 18120770353 23298133311 31643733303 33652859227 54362311059 100958577681 163086933177 235570014589 302875733043 706710043767 2120130131301