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20032300032 = 210319134141
BaseRepresentation
bin10010101010000001…
…001010010000000000
31220201002022021120020
4102222001022100000
5312011232100112
613111441413440
71306263512043
oct225201122000
956632267506
1020032300032
11854a790568
123a7093a280
131b732a6794
14d806d2c5a
157c39eb48c
hex4aa04a400

20032300032 has 88 divisors (see below), whose sum is σ = 53674501632. Its totient is φ = 6642278400.

The previous prime is 20032300019. The next prime is 20032300033. The reversal of 20032300032 is 23000323002.

It is a junction number, because it is equal to n+sod(n) for n = 20032299984 and 20032300020.

It is not an unprimeable number, because it can be changed into a prime (20032300033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 569682 + ... + 603822.

Almost surely, 220032300032 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 20032300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26837250816).

20032300032 is an abundant number, since it is smaller than the sum of its proper divisors (33642201600).

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

20032300032 is a wasteful number, since it uses less digits than its factorization.

20032300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34355 (or 34337 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 20032300032 its reverse (23000323002), we get a palindrome (43032623034).

The spelling of 20032300032 in words is "twenty billion, thirty-two million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 191 192 256 382 384 512 573 764 768 1024 1146 1528 1536 2292 3056 3072 4584 6112 9168 12224 18336 24448 34141 36672 48896 68282 73344 97792 102423 136564 146688 195584 204846 273128 293376 409692 546256 586752 819384 1092512 1638768 2185024 3277536 4370048 6520931 6555072 8740096 13041862 13110144 17480192 19562793 26083724 26220288 34960384 39125586 52167448 52440576 78251172 104334896 104881152 156502344 208669792 313004688 417339584 626009376 834679168 1252018752 1669358336 2504037504 3338716672 5008075008 6677433344 10016150016 20032300032