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21220132230031 = 767164477275087
BaseRepresentation
bin1001101001100101100100…
…11100011001001110001111
32210010121212111111212101111
410310302302130121032033
510240132312322330111
6113044221050152451
74320050441611060
oct464626234311617
983117774455344
1021220132230031
116841453488569
12246872b422727
13bac085792b97
145350ba44c567
1526beb720ba21
hex134cb271938f

21220132230031 has 16 divisors (see below), whose sum is σ = 24613782690816. Its totient is φ = 17917037794656.

The previous prime is 21220132230007. The next prime is 21220132230049. The reversal of 21220132230031 is 13003223102212.

It is not a de Polignac number, because 21220132230031 - 25 = 21220132229999 is a prime.

It is a super-2 number, since 2×212201322300312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21220132229984 and 21220132230011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220132230931) 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 15 ways as a sum of consecutive naturals, for example, 77002170 + ... + 77277256.

It is an arithmetic number, because the mean of its divisors is an integer number (1538361418176).

Almost surely, 221220132230031 is an apocalyptic number.

21220132230031 is a deficient number, since it is larger than the sum of its proper divisors (3393650460785).

21220132230031 is a wasteful number, since it uses less digits than its factorization.

21220132230031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439638.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 21220132230031 its reverse (13003223102212), we get a palindrome (34223355332243).

The spelling of 21220132230031 in words is "twenty-one trillion, two hundred twenty billion, one hundred thirty-two million, two hundred thirty thousand, thirty-one".

Divisors: 1 7 67 469 164477 275087 1151339 1925609 11019959 18430829 77139713 129015803 45245484499 316718391493 3031447461433 21220132230031