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2100454434000 = 243253138976301
BaseRepresentation
bin11110100100001100110…
…101110010010011010000
321102210122021120211110200
4132210030311302103100
5233403212313342000
64244534020055200
7304516135051026
oct36441465622320
97383567524420
102100454434000
1173a88585097a
1229b0b9b34500
131230c2263a70
147393c004716
153998707e500
hex1e90cd724d0

2100454434000 has 240 divisors, whose sum is σ = 7900510157904. Its totient is φ = 517034880000.

The previous prime is 2100454433983. The next prime is 2100454434017. The reversal of 2100454434000 is 4344540012.

It is a happy number.

2100454434000 is a `hidden beast` number, since 210 + 0 + 4 + 5 + 4 + 43 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2100454433983) and next prime (2100454434017).

It can be written as a sum of positive squares in 8 ways, for example, as 968988234384 + 1131466199616 = 984372^2 + 1063704^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 4254151 + ... + 4722150.

Almost surely, 22100454434000 is an apocalyptic number.

2100454434000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100454434000 is an abundant number, since it is smaller than the sum of its proper divisors (5800055723904).

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

2100454434000 is a wasteful number, since it uses less digits than its factorization.

2100454434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8976343 (or 8976324 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 2100454434000 its reverse (4344540012), we get a palindrome (2104798974012).

The spelling of 2100454434000 in words is "two trillion, one hundred billion, four hundred fifty-four million, four hundred thirty-four thousand".