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2121332220020 = 2251349116617047
BaseRepresentation
bin11110110111101001010…
…000001110000001110100
321111210112021211020202202
4132313221100032001310
5234223442022020040
64302305423324032
7306155406233606
oct36675120160164
97453467736682
102121332220020
1174871980a592
122a3165a50618
1312506b757cc0
147495cb03176
153a2a9dda015
hex1ede940e074

2121332220020 has 48 divisors (see below), whose sum is σ = 4807245518208. Its totient is φ = 781665843840.

The previous prime is 2121332220017. The next prime is 2121332220023. The reversal of 2121332220020 is 200222331212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2121332220017) and next prime (2121332220023).

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

It is a junction number, because it is equal to n+sod(n) for n = 2121332219974 and 2121332220001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121332220023) 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, 8180864 + ... + 8436183.

It is an arithmetic number, because the mean of its divisors is an integer number (100150948296).

Almost surely, 22121332220020 is an apocalyptic number.

2121332220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121332220020 is an abundant number, since it is smaller than the sum of its proper divisors (2685913298188).

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

2121332220020 is a wasteful number, since it uses less digits than its factorization.

2121332220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16617560 (or 16617558 counting only the distinct ones).

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

Adding to 2121332220020 its reverse (200222331212), we get a palindrome (2321554551232).

The spelling of 2121332220020 in words is "two trillion, one hundred twenty-one billion, three hundred thirty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 491 982 1964 2455 4910 6383 9820 12766 25532 31915 63830 127660 16617047 33234094 66468188 83085235 166170470 216021611 332340940 432043222 864086444 1080108055 2160216110 4320432220 8158970077 16317940154 32635880308 40794850385 81589700770 106066611001 163179401540 212133222002 424266444004 530333055005 1060666110010 2121332220020