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20344312100 = 22527105127653
BaseRepresentation
bin10010111100100111…
…011001000100100100
31221111211102010122202
4102330213121010210
5313131120441400
613202425114032
71320102541160
oct227447310444
957454363582
1020344312100
11869a919882
123b39328918
131bc2b1bbc8
14dadd11ca0
157e10ce4d5
hex4bc9d9124

20344312100 has 72 divisors (see below), whose sum is σ = 50503725888. Its totient is φ = 6968304000.

The previous prime is 20344312099. The next prime is 20344312117. The reversal of 20344312100 is 121344302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721874 + ... + 749526.

Almost surely, 220344312100 is an apocalyptic number.

20344312100 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 20344312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25251862944).

20344312100 is an abundant number, since it is smaller than the sum of its proper divisors (30159413788).

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

20344312100 is a wasteful number, since it uses less digits than its factorization.

20344312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28725 (or 28718 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20344312100 its reverse (121344302), we get a palindrome (20465656402).

It can be divided in two parts, 2034 and 4312100, that added together give a palindrome (4314134).

The spelling of 20344312100 in words is "twenty billion, three hundred forty-four million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1051 2102 4204 5255 7357 10510 14714 21020 26275 27653 29428 36785 52550 55306 73570 105100 110612 138265 147140 183925 193571 276530 367850 387142 553060 691325 735700 774284 967855 1382650 1935710 2765300 3871420 4839275 9678550 19357100 29063303 58126606 116253212 145316515 203443121 290633030 406886242 581266060 726582575 813772484 1017215605 1453165150 2034431210 2906330300 4068862420 5086078025 10172156050 20344312100