Search a number
-
+
20331123032 = 23112910377347
BaseRepresentation
bin10010111011110101…
…000101000101011000
31221110220121001122202
4102323311011011120
5313114231414112
613201234305332
71316552460113
oct227365050530
957426531582
1020331123032
118693430720
123b34a28248
131bc018191c
14dac27b57a
157ded766c2
hex4bbd45158

20331123032 has 64 divisors (see below), whose sum is σ = 43438636800. Its totient is φ = 8836007040.

The previous prime is 20331123023. The next prime is 20331123067. The reversal of 20331123032 is 23032113302.

It is a junction number, because it is equal to n+sod(n) for n = 20331122995 and 20331123013.

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 15 ways as a sum of consecutive naturals, for example, 224183 + ... + 301529.

It is an arithmetic number, because the mean of its divisors is an integer number (678728700).

Almost surely, 220331123032 is an apocalyptic number.

20331123032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20331123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21719318400).

20331123032 is an abundant number, since it is smaller than the sum of its proper divisors (23107513768).

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

20331123032 is a wasteful number, since it uses less digits than its factorization.

20331123032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77496 (or 77492 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 20331123032 its reverse (23032113302), we get a palindrome (43363236334).

The spelling of 20331123032 in words is "twenty billion, three hundred thirty-one million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 103 116 206 232 319 412 638 824 1133 1276 2266 2552 2987 4532 5974 9064 11948 23896 32857 65714 77347 131428 154694 262856 309388 618776 850817 1701634 2243063 3403268 4486126 6806536 7966741 8972252 15933482 17944504 24673693 31866964 49347386 63733928 87634151 98694772 175268302 197389544 231035489 350536604 462070978 701073208 924141956 1848283912 2541390379 5082780758 10165561516 20331123032