Search a number
-
+
20132120322 = 2331393178461
BaseRepresentation
bin10010101111111101…
…111100011100000010
31220222001010200021000
4102233331330130002
5312212310322242
613125405112430
71311615125226
oct225775743402
956861120230
1020132120322
1185a1069a76
123a9a258716
131b8ab86542
14d8da78786
157cc667a4c
hex4aff7c702

20132120322 has 64 divisors (see below), whose sum is σ = 45207388800. Its totient is φ = 6640626240.

The previous prime is 20132120321. The next prime is 20132120353. The reversal of 20132120322 is 22302123102.

20132120322 is a `hidden beast` number, since 2 + 0 + 1 + 321 + 20 + 322 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20132120295 and 20132120304.

It is not an unprimeable number, because it can be changed into a prime (20132120321) 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, 2375172 + ... + 2383632.

It is an arithmetic number, because the mean of its divisors is an integer number (706365450).

Almost surely, 220132120322 is an apocalyptic number.

20132120322 is an abundant number, since it is smaller than the sum of its proper divisors (25075268478).

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

20132120322 is a wasteful number, since it uses less digits than its factorization.

20132120322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8928 (or 8922 counting only the distinct ones).

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

Adding to 20132120322 its reverse (22302123102), we get a palindrome (42434243424).

The spelling of 20132120322 in words is "twenty billion, one hundred thirty-two million, one hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 139 278 317 417 634 834 951 1251 1902 2502 2853 3753 5706 7506 8461 8559 16922 17118 25383 44063 50766 76149 88126 132189 152298 228447 264378 396567 456894 793134 1176079 1189701 2352158 2379402 2682137 3528237 5364274 7056474 8046411 10584711 16092822 21169422 24139233 31754133 48278466 63508266 72417699 144835398 372817043 745634086 1118451129 2236902258 3355353387 6710706774 10066060161 20132120322