Search a number
-
+
20011010033232 = 2432572692426537
BaseRepresentation
bin1001000110011001011010…
…01001010000011001010000
32121212000220200210010220100
410203030231021100121100
510110330022032030412
6110320533041212400
74133514324533061
oct443145511203120
977760820703810
1020011010033232
116415692528a59
1222b2326931100
13b220513120ba
144d27765c0568
1524a7eb757edc
hex12332d250650

20011010033232 has 60 divisors (see below), whose sum is σ = 56004035997780. Its totient is φ = 6670217455104.

The previous prime is 20011010033213. The next prime is 20011010033243. The reversal of 20011010033232 is 23233001011002.

20011010033232 is a `hidden beast` number, since 200 + 1 + 1 + 0 + 100 + 332 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12854978427456 + 7156031605776 = 3585384^2 + 2675076^2 .

It is a super-2 number, since 2×200110100332322 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7033468 + ... + 9460004.

It is an arithmetic number, because the mean of its divisors is an integer number (933400599963).

Almost surely, 220011010033232 is an apocalyptic number.

It is an amenable number.

20011010033232 is an abundant number, since it is smaller than the sum of its proper divisors (35993025964548).

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

20011010033232 is a wasteful number, since it uses less digits than its factorization.

20011010033232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483820 (or 2483811 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20011010033232 its reverse (23233001011002), we get a palindrome (43244011044234).

The spelling of 20011010033232 in words is "twenty trillion, eleven billion, ten million, thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 57269 114538 171807 229076 343614 458152 515421 687228 916304 1030842 1374456 2061684 2426537 2748912 4123368 4853074 7279611 8246736 9706148 14559222 19412296 21838833 29118444 38824592 43677666 58236888 87355332 116473776 174710664 349421328 138965347453 277930694906 416896042359 555861389812 833792084718 1111722779624 1250688127077 1667584169436 2223445559248 2501376254154 3335168338872 5002752508308 6670336677744 10005505016616 20011010033232