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201023100 = 22335274453
BaseRepresentation
bin10111111101101…
…01111001111100
3112000021000212000
423332311321330
5402430214400
631540342300
74660445115
oct1376657174
9460230760
10201023100
11a35216a3
12573a4990
1332854ba5
141c9ab20c
15129ac600
hexbfb5e7c

201023100 has 72 divisors (see below), whose sum is σ = 646260720. Its totient is φ = 53605440.

The previous prime is 201023071. The next prime is 201023101. The reversal of 201023100 is 1320102.

It is a happy number.

It is a super-3 number, since 3×2010231003 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201023101) 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, 34527 + ... + 39926.

Almost surely, 2201023100 is an apocalyptic number.

201023100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201023100 is an abundant number, since it is smaller than the sum of its proper divisors (445237620).

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

201023100 is a wasteful number, since it uses less digits than its factorization.

201023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74476 (or 74463 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 201023100 is about 14178.2615295388. The cubic root of 201023100 is about 585.7990396036.

Adding to 201023100 its reverse (1320102), we get a palindrome (202343202).

The spelling of 201023100 in words is "two hundred one million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 74453 148906 223359 297812 372265 446718 670077 744530 893436 1116795 1340154 1489060 1861325 2010231 2233590 2680308 3350385 3722650 4020462 4467180 5583975 6700770 7445300 8040924 10051155 11167950 13401540 16751925 20102310 22335900 33503850 40204620 50255775 67007700 100511550 201023100