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20201032434 = 23112318173523
BaseRepresentation
bin10010110100000100…
…110100101011110010
31221010211210202220110
4102310010310223302
5312332431014214
613140310122150
71313412641202
oct226404645362
957124722813
1020201032434
118626a57730
123ab9350356
131b9c233b3b
14d98c96402
157d372b159
hex4b4134af2

20201032434 has 64 divisors (see below), whose sum is σ = 46246007808. Its totient is φ = 5822942400.

The previous prime is 20201032433. The next prime is 20201032463. The reversal of 20201032434 is 43423010202.

It is a super-2 number, since 2×202010324342 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20201032434.

It is not an unprimeable number, because it can be changed into a prime (20201032433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237997 + ... + 311519.

It is an arithmetic number, because the mean of its divisors is an integer number (722593872).

Almost surely, 220201032434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201032434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23123003904).

20201032434 is an abundant number, since it is smaller than the sum of its proper divisors (26044975374).

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

20201032434 is a wasteful number, since it uses less digits than its factorization.

20201032434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73743.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20201032434 its reverse (43423010202), we get a palindrome (63624042636).

The spelling of 20201032434 in words is "twenty billion, two hundred one million, thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 181 253 362 506 543 759 1086 1518 1991 3982 4163 5973 8326 11946 12489 24978 45793 73523 91586 137379 147046 220569 274758 441138 808753 1617506 1691029 2426259 3382058 4852518 5073087 10146174 13307663 18601319 26615326 37202638 39922989 55803957 79845978 111607914 146384293 292768586 306076249 439152879 612152498 878305758 918228747 1836457494 3366838739 6733677478 10100516217 20201032434