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2122020001000 = 23532122020001
BaseRepresentation
bin11110111000010010001…
…111111001010011101000
321111212022020000010220101
4132320102033321103220
5234231344110013000
64302501553035144
7306211430254144
oct36702217712350
97455266003811
102122020001000
11748a41a73619
122a3318255ab4
1312514b0a97b3
14749c61ba224
153a2ea496e6a
hex1ee123f94e8

2122020001000 has 32 divisors (see below), whose sum is σ = 4965526804680. Its totient is φ = 848808000000.

The previous prime is 2122020000983. The next prime is 2122020001027. The reversal of 2122020001000 is 1000202212.

It can be written as a sum of positive squares in 4 ways, for example, as 439120926244 + 1682899074756 = 662662^2 + 1297266^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1061009001 + ... + 1061011000.

Almost surely, 22122020001000 is an apocalyptic number.

2122020001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122020001000 is an abundant number, since it is smaller than the sum of its proper divisors (2843506803680).

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

2122020001000 is a wasteful number, since it uses less digits than its factorization.

2122020001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122020022 (or 2122020008 counting only the distinct ones).

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

Adding to 2122020001000 its reverse (1000202212), we get a palindrome (2123020203212).

The spelling of 2122020001000 in words is "two trillion, one hundred twenty-two billion, twenty million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2122020001 4244040002 8488080004 10610100005 16976160008 21220200010 42440400020 53050500025 84880800040 106101000050 212202000100 265252500125 424404000200 530505000250 1061010000500 2122020001000