Search a number
-
+
10020322122112 = 27192216852539
BaseRepresentation
bin1001000111010000100110…
…1111011001100110000000
31022110221012110220000112201
42101310021233121212000
52303133104430401422
633151134502402544
72052641631465601
oct221641157314600
938427173800481
1010020322122112
11321365a677165
12115a009730454
13578bb24a8253
14268db4105da8
151259b90dc727
hex91d09bd9980

10020322122112 has 48 divisors (see below), whose sum is σ = 21068308523700. Its totient is φ = 4746468351744.

The previous prime is 10020322122053. The next prime is 10020322122119. The reversal of 10020322122112 is 21122122302001.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 10020322122112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020322122119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108380062 + ... + 108472477.

Almost surely, 210020322122112 is an apocalyptic number.

It is an amenable number.

10020322122112 is an abundant number, since it is smaller than the sum of its proper divisors (11047986401588).

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

10020322122112 is an equidigital number, since it uses as much as digits as its factorization.

10020322122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216852591 (or 216852560 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10020322122112 its reverse (21122122302001), we get a palindrome (31142444424113).

The spelling of 10020322122112 in words is "ten trillion, twenty billion, three hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 361 608 722 1216 1444 2432 2888 5776 11552 23104 46208 216852539 433705078 867410156 1734820312 3469640624 4120198241 6939281248 8240396482 13878562496 16480792964 27757124992 32961585928 65923171856 78283766579 131846343712 156567533158 263692687424 313135066316 527385374848 626270132632 1252540265264 2505080530528 5010161061056 10020322122112