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2030201000 = 235310120101
BaseRepresentation
bin111100100000010…
…0110100010101000
312020111011220012122
41321000212202220
513124212413000
6533242130412
7101211265232
oct17100464250
95214156178
102030201000
11951aa5073
12487ab0a08
132647bc989
141538bb252
15bd37b085
hex790268a8

2030201000 has 64 divisors (see below), whose sum is σ = 4797945360. Its totient is φ = 804000000.

The previous prime is 2030200981. The next prime is 2030201009. The reversal of 2030201000 is 1020302.

It can be written as a sum of positive squares in 8 ways, for example, as 292478404 + 1737722596 = 17102^2 + 41686^2 .

It is a super-2 number, since 2×20302010002 = 8243432200802000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2030201009) 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, 90950 + ... + 111050.

Almost surely, 22030201000 is an apocalyptic number.

2030201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398972680).

2030201000 is an abundant number, since it is smaller than the sum of its proper divisors (2767744360).

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

2030201000 is a wasteful number, since it uses less digits than its factorization.

2030201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20223 (or 20209 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2030201000 is about 45057.7518302900. The cubic root of 2030201000 is about 1266.2312061143.

Adding to 2030201000 its reverse (1020302), we get a palindrome (2031221302).

The spelling of 2030201000 in words is "two billion, thirty million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20101 20200 25250 40202 50500 80404 100505 101000 160808 201010 402020 502525 804040 1005050 2010100 2030201 2512625 4020200 4060402 5025250 8120804 10050500 10151005 16241608 20101000 20302010 40604020 50755025 81208040 101510050 203020100 253775125 406040200 507550250 1015100500 2030201000