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2100443013240 = 23351113671826917
BaseRepresentation
bin11110100100001100001…
…010001110000001111000
321102210121111002121010120
4132210030022032001320
5233403201402410430
64244532531213240
7304515636013245
oct36441412160170
97383544077116
102100443013240
1173a87a360330
1229b0b6147220
131230bca95610
147393a6b05cc
1539986075610
hex1e90c28e078

2100443013240 has 256 divisors, whose sum is σ = 7513456043520. Its totient is φ = 463013591040.

The previous prime is 2100443013211. The next prime is 2100443013247. The reversal of 2100443013240 is 423103440012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2100443013240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100443013247) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 236262 + ... + 2063178.

It is an arithmetic number, because the mean of its divisors is an integer number (29349437670).

Almost surely, 22100443013240 is an apocalyptic number.

2100443013240 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 2100443013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756728021760).

2100443013240 is an abundant number, since it is smaller than the sum of its proper divisors (5413013030280).

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

2100443013240 is a wasteful number, since it uses less digits than its factorization.

2100443013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827022 (or 1827018 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2100443013240 its reverse (423103440012), we get a palindrome (2523546453252).

The spelling of 2100443013240 in words is "two trillion, one hundred billion, four hundred forty-three million, thirteen thousand, two hundred forty".