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20032121232 = 2433347133633
BaseRepresentation
bin10010101010000000…
…011110100110010000
31220201001222012022000
4102222000132212100
5312011210334412
613111433514000
71306262135544
oct225200364620
956631865260
1020032121232
11854a6791a2
123a70872900
131b73243296
14d80687a24
157c39b34dc
hex4aa01e990

20032121232 has 80 divisors (see below), whose sum is σ = 57665743680. Its totient is φ = 6658080768.

The previous prime is 20032121209. The next prime is 20032121233. The reversal of 20032121232 is 23212123002.

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

It is not an unprimeable number, because it can be changed into a prime (20032121233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83088 + ... + 216720.

It is an arithmetic number, because the mean of its divisors is an integer number (720821796).

Almost surely, 220032121232 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 20032121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28832871840).

20032121232 is an abundant number, since it is smaller than the sum of its proper divisors (37633622448).

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

20032121232 is a wasteful number, since it uses less digits than its factorization.

20032121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133997 (or 133985 counting only the distinct ones).

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

Adding to 20032121232 its reverse (23212123002), we get a palindrome (43244244234).

The spelling of 20032121232 in words is "twenty billion, thirty-two million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 347 432 694 1041 1388 2082 2776 3123 4164 5552 6246 8328 9369 12492 16656 18738 24984 37476 49968 74952 133633 149904 267266 400899 534532 801798 1069064 1202697 1603596 2138128 2405394 3207192 3608091 4810788 6414384 7216182 9621576 14432364 19243152 28864728 46370651 57729456 92741302 139111953 185482604 278223906 370965208 417335859 556447812 741930416 834671718 1112895624 1252007577 1669343436 2225791248 2504015154 3338686872 5008030308 6677373744 10016060616 20032121232