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20003120312 = 2371743148751
BaseRepresentation
bin10010101000010001…
…110110010010111000
31220122001101210111212
4102220101312102320
5311431244322222
613104520142252
71305460501010
oct225021662270
956561353455
1020003120312
11853527039a
123a63007988
131b6a22ac86
14d7a898c40
157c11856e2
hex4a84764b8

20003120312 has 64 divisors (see below), whose sum is σ = 45491466240. Its totient is φ = 8049600000.

The previous prime is 20003120299. The next prime is 20003120317. The reversal of 20003120312 is 21302130002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20003120317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385937 + ... + 434687.

It is an arithmetic number, because the mean of its divisors is an integer number (710804160).

Almost surely, 220003120312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20003120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22745733120).

20003120312 is an abundant number, since it is smaller than the sum of its proper divisors (25488345928).

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

20003120312 is a wasteful number, since it uses less digits than its factorization.

20003120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49212 (or 49208 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20003120312 its reverse (21302130002), we get a palindrome (41305250314).

The spelling of 20003120312 in words is "twenty billion, three million, one hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 431 476 862 952 1724 3017 3448 6034 7327 12068 14654 24136 29308 48751 51289 58616 97502 102578 195004 205156 341257 390008 410312 682514 828767 1365028 1657534 2730056 3315068 5801369 6630136 11602738 21011681 23205476 42023362 46410952 84046724 147081767 168093448 294163534 357198577 588327068 714397154 1176654136 1428794308 2500390039 2857588616 5000780078 10001560156 20003120312