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20311003100 = 2252679533181
BaseRepresentation
bin10010111010101000…
…010100111111011100
31221102111201212022002
4102322220110333130
5313044104044400
613155235141432
71316216451323
oct227250247734
957374655262
1020311003100
118683039283
123b2a144878
131bb8c58a3b
14da97210ba
157dd1eeed5
hex4baa14fdc

20311003100 has 72 divisors (see below), whose sum is σ = 44793726768. Its totient is φ = 7992230400.

The previous prime is 20311003067. The next prime is 20311003127. The reversal of 20311003100 is 130011302.

It is a super-2 number, since 2×203110031002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6383510 + ... + 6386690.

It is an arithmetic number, because the mean of its divisors is an integer number (622135094).

Almost surely, 220311003100 is an apocalyptic number.

20311003100 is a gapful number since it is divisible by the number (20) 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 20311003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22396863384).

20311003100 is an abundant number, since it is smaller than the sum of its proper divisors (24482723668).

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

20311003100 is a wasteful number, since it uses less digits than its factorization.

20311003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 20311003100 its reverse (130011302), we get a palindrome (20441014402).

The spelling of 20311003100 in words is "twenty billion, three hundred eleven million, three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 953 1340 1675 1906 3181 3350 3812 4765 6362 6700 9530 12724 15905 19060 23825 31810 47650 63620 63851 79525 95300 127702 159050 213127 255404 318100 319255 426254 638510 852508 1065635 1277020 1596275 2131270 3031493 3192550 4262540 5328175 6062986 6385100 10656350 12125972 15157465 21312700 30314930 60629860 75787325 151574650 203110031 303149300 406220062 812440124 1015550155 2031100310 4062200620 5077750775 10155501550 20311003100