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201000100 = 225271012843
BaseRepresentation
bin10111111101100…
…00010010100100
3112000012212022011
423332300102210
5402424000400
631540044004
74660321060
oct1376602244
9460185264
10201000100
11a3506394
1257393604
1332847592
141c9a2aa0
15129a58ba
hexbfb04a4

201000100 has 72 divisors (see below), whose sum is σ = 503592768. Its totient is φ = 68208000.

The previous prime is 201000091. The next prime is 201000109. The reversal of 201000100 is 1000102.

201000100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201000091) and next prime (201000109).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 201000100.

It is not an unprimeable number, because it can be changed into a prime (201000109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69279 + ... + 72121.

It is an arithmetic number, because the mean of its divisors is an integer number (6994344).

Almost surely, 2201000100 is an apocalyptic number.

201000100 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 201000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251796384).

201000100 is an abundant number, since it is smaller than the sum of its proper divisors (302592668).

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

201000100 is a wasteful number, since it uses less digits than its factorization.

201000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 201000100 is about 14177.4504054855. The cubic root of 201000100 is about 585.7766974088.

Adding to 201000100 its reverse (1000102), we get a palindrome (202000202).

The spelling of 201000100 in words is "two hundred one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 2843 3535 5050 5686 7070 10100 11372 14140 14215 17675 19901 28430 35350 39802 56860 70700 71075 79604 99505 142150 199010 284300 287143 398020 497525 574286 995050 1148572 1435715 1990100 2010001 2871430 4020002 5742860 7178575 8040004 10050005 14357150 20100010 28714300 40200020 50250025 100500050 201000100