Search a number
-
+
20122130320 = 245376798017
BaseRepresentation
bin10010101111010111…
…110101011110010000
31220221100100010112221
4102233113311132100
5312202231132240
613124411030424
71311434166655
oct225727653620
956840303487
1020122130320
118596466376
123a96a3b414
131b88a993b6
14d8c5d7c2c
157cb842a4a
hex4af5f5790

20122130320 has 40 divisors (see below), whose sum is σ = 48048391224. Its totient is φ = 7831314432.

The previous prime is 20122130311. The next prime is 20122130383. The reversal of 20122130320 is 2303122102.

It can be written as a sum of positive squares in 4 ways, for example, as 3109623696 + 17012506624 = 55764^2 + 130432^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20122130294 and 20122130303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3396049 + ... + 3401968.

Almost surely, 220122130320 is an apocalyptic number.

20122130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122130320 is an abundant number, since it is smaller than the sum of its proper divisors (27926260904).

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

20122130320 is a wasteful number, since it uses less digits than its factorization.

20122130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6798067 (or 6798061 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20122130320 its reverse (2303122102), we get a palindrome (22425252422).

The spelling of 20122130320 in words is "twenty billion, one hundred twenty-two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 6798017 13596034 27192068 33990085 54384136 67980170 108768272 135960340 251526629 271920680 503053258 543841360 1006106516 1257633145 2012213032 2515266290 4024426064 5030532580 10061065160 20122130320