Search a number
-
+
201000001021120 = 265789732143313
BaseRepresentation
bin101101101100111011110101…
…101010010010010011000000
3222100200102010122222100202201
4231230323311222102103000
5202321141000230133440
61551254043053522544
760223525254615550
oct5554736552222300
9870612118870681
10201000001021120
1159054692576444
121a6631917a3454
1388202ac824422
14378c648255160
15183871095819a
hexb6cef5a924c0

201000001021120 has 56 divisors (see below), whose sum is σ = 547007145642144. Its totient is φ = 68914286063616.

The previous prime is 201000001021109. The next prime is 201000001021139. The reversal of 201000001021120 is 21120100000102.

201000001021120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a junction number, because it is equal to n+sod(n) for n = 201000001021097 and 201000001021106.

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, 44866069417 + ... + 44866073896.

Almost surely, 2201000001021120 is an apocalyptic number.

201000001021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000001021120 is an abundant number, since it is smaller than the sum of its proper divisors (346007144621024).

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

201000001021120 is an equidigital number, since it uses as much as digits as its factorization.

201000001021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89732143337 (or 89732143327 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201000001021120 its reverse (21120100000102), we get a palindrome (222120101021222).

The spelling of 201000001021120 in words is "two hundred one trillion, one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 89732143313 179464286626 358928573252 448660716565 628125003191 717857146504 897321433130 1256250006382 1435714293008 1794642866260 2512500012764 2871428586016 3140625015955 3589285732520 5025000025528 5742857172032 6281250031910 7178571465040 10050000051056 12562500063820 14357142930080 20100000102112 25125000127640 28714285860160 40200000204224 50250000255280 100500000510560 201000001021120