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2121000114640 = 245115581431863
BaseRepresentation
bin11110110111010101011…
…101010101100111010000
321111202200010220112211111
4132313111131111213100
5234222302012132030
64302212441223104
7306144234336421
oct36672535254720
97452603815744
102121000114640
117485692a7930
122a3092791a94
131250179c8b44
147492a973648
153a28ab8862a
hex1edd57559d0

2121000114640 has 80 divisors (see below), whose sum is σ = 5380603940736. Its totient is φ = 771132787200.

The previous prime is 2121000114637. The next prime is 2121000114641. The reversal of 2121000114640 is 464110001212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121000114641) 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, 4695349 + ... + 5127211.

Almost surely, 22121000114640 is an apocalyptic number.

2121000114640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121000114640 is an abundant number, since it is smaller than the sum of its proper divisors (3259603826096).

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

2121000114640 is a wasteful number, since it uses less digits than its factorization.

2121000114640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437468 (or 437462 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 2121000114640 its reverse (464110001212), we get a palindrome (2585110115852).

The spelling of 2121000114640 in words is "two trillion, one hundred twenty-one billion, one hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 5581 11162 22324 27905 44648 55810 61391 89296 111620 122782 223240 245564 306955 431863 446480 491128 613910 863726 982256 1227820 1727452 2159315 2455640 3454904 4318630 4750493 4911280 6909808 8637260 9500986 17274520 19001972 23752465 34549040 38003944 47504930 76007888 95009860 190019720 380039440 2410227403 4820454806 9640909612 12051137015 19281819224 24102274030 26512501433 38563638448 48204548060 53025002866 96409096120 106050005732 132562507165 192818192240 212100011464 265125014330 424200022928 530250028660 1060500057320 2121000114640