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20312202132 = 22323767227603
BaseRepresentation
bin10010111010101100…
…111001101110010100
31221102120222210001200
4102322230321232110
5313044410432012
613155320552500
71316232604125
oct227254715624
957376883050
1020312202132
118683788112
123b2a622730
131bb9288721
14da995404c
157dd38a3dc
hex4bab39b94

20312202132 has 72 divisors (see below), whose sum is σ = 53519714976. Its totient is φ = 6489388224.

The previous prime is 20312202121. The next prime is 20312202133. The reversal of 20312202132 is 23120221302.

20312202132 is a `hidden beast` number, since 20 + 312 + 202 + 132 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20312202133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24558 + ... + 203045.

Almost surely, 220312202132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20312202132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26759857488).

20312202132 is an abundant number, since it is smaller than the sum of its proper divisors (33207512844).

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

20312202132 is a wasteful number, since it uses less digits than its factorization.

20312202132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227717 (or 227712 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20312202132 its reverse (23120221302), we get a palindrome (43432423434).

The spelling of 20312202132 in words is "twenty billion, three hundred twelve million, two hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 67 74 111 134 148 201 222 268 333 402 444 603 666 804 1206 1332 2412 2479 4958 7437 9916 14874 22311 29748 44622 89244 227603 455206 682809 910412 1365618 2048427 2731236 4096854 8193708 8421311 15249401 16842622 25263933 30498802 33685244 45748203 50527866 60997604 75791799 91496406 101055732 137244609 151583598 182992812 274489218 303167196 548978436 564227837 1128455674 1692683511 2256911348 3385367022 5078050533 6770734044 10156101066 20312202132