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20312231232 = 2631813731567
BaseRepresentation
bin10010111010101101…
…000000110101000000
31221102121001020222110
4102322231000311000
5313044412344412
613155321335320
71316233055016
oct227255006500
957377036873
1020312231232
1186837a7a67
123b2a637540
131bb9298a47
14da99608b6
157dd393d3c
hex4bab40d40

20312231232 has 112 divisors (see below), whose sum is σ = 54219156992. Its totient is φ = 6710999040.

The previous prime is 20312231221. The next prime is 20312231237. The reversal of 20312231232 is 23213221302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20312231199 and 20312231208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20312231237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12961713 + ... + 12963279.

It is an arithmetic number, because the mean of its divisors is an integer number (484099616).

Almost surely, 220312231232 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 20312231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27109578496).

20312231232 is an abundant number, since it is smaller than the sum of its proper divisors (33906925760).

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

20312231232 is a wasteful number, since it uses less digits than its factorization.

20312231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20312231232 its reverse (23213221302), we get a palindrome (43525452534).

The spelling of 20312231232 in words is "twenty billion, three hundred twelve million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 181 192 362 373 543 724 746 1086 1119 1448 1492 1567 2172 2238 2896 2984 3134 4344 4476 4701 5792 5968 6268 8688 8952 9402 11584 11936 12536 17376 17904 18804 23872 25072 34752 35808 37608 50144 67513 71616 75216 100288 135026 150432 202539 270052 283627 300864 405078 540104 567254 584491 810156 850881 1080208 1134508 1168982 1620312 1701762 1753473 2160416 2269016 2337964 3240624 3403524 3506946 4320832 4538032 4675928 6481248 6807048 7013892 9076064 9351856 12962496 13614096 14027784 18152128 18703712 27228192 28055568 37407424 54456384 56111136 105792871 112222272 211585742 317378613 423171484 634757226 846342968 1269514452 1692685936 2539028904 3385371872 5078057808 6770743744 10156115616 20312231232