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2121000200020 = 2251312377659101
BaseRepresentation
bin11110110111010101011…
…101101010011101010100
321111202200011001212221201
4132313111131222131110
5234222302022400040
64302212443122244
7306144235143352
oct36672535523524
97452604055851
102121000200020
11748569355a99
122a3092813384
13125017a28970
147492a9967d2
153a28aba3a9a
hex1edd576a754

2121000200020 has 48 divisors (see below), whose sum is σ = 4797118358928. Its totient is φ = 783074073600.

The previous prime is 2121000200009. The next prime is 2121000200027. The reversal of 2121000200020 is 200020001212.

It can be written as a sum of positive squares in 8 ways, for example, as 322172030404 + 1798828169616 = 567602^2 + 1341204^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121000200027) 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, 2888470 + ... + 3547570.

It is an arithmetic number, because the mean of its divisors is an integer number (99939965811).

Almost surely, 22121000200020 is an apocalyptic number.

2121000200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121000200020 is an abundant number, since it is smaller than the sum of its proper divisors (2676118158908).

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

2121000200020 is a wasteful number, since it uses less digits than its factorization.

2121000200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671500 (or 671498 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2121000200020 its reverse (200020001212), we get a palindrome (2321020201232).

The spelling of 2121000200020 in words is "two trillion, one hundred twenty-one billion, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 12377 24754 49508 61885 123770 160901 247540 321802 643604 659101 804505 1318202 1609010 2636404 3218020 3295505 6591010 8568313 13182020 17136626 34273252 42841565 85683130 171366260 8157693077 16315386154 32630772308 40788465385 81576930770 106050010001 163153861540 212100020002 424200040004 530250050005 1060500100010 2121000200020