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2000210100 = 223527952481
BaseRepresentation
bin111011100111000…
…1100100010110100
312011101202012102120
41313032030202310
513044023210400
6530251235540
7100365335220
oct16716144264
95141665376
102000210100
119370804a9
12479a48bb0
1325b51bb95
1414d911780
15ba904ca0
hex7738c8b4

2000210100 has 72 divisors (see below), whose sum is σ = 6614035008. Its totient is φ = 457190400.

The previous prime is 2000210077. The next prime is 2000210101. The reversal of 2000210100 is 10120002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000210101) 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, 474141 + ... + 478340.

Almost surely, 22000210100 is an apocalyptic number.

2000210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000210100 is an abundant number, since it is smaller than the sum of its proper divisors (4613824908).

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

2000210100 is a wasteful number, since it uses less digits than its factorization.

2000210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952505 (or 952498 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2000210100 is about 44723.7084777191. The cubic root of 2000210100 is about 1259.9651665855.

Adding to 2000210100 its reverse (10120002), we get a palindrome (2010330102).

The spelling of 2000210100 in words is "two billion, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 952481 1904962 2857443 3809924 4762405 5714886 6667367 9524810 11429772 13334734 14287215 19049620 20002101 23812025 26669468 28574430 33336835 40004202 47624050 57148860 66673670 71436075 80008404 95248100 100010505 133347340 142872150 166684175 200021010 285744300 333368350 400042020 500052525 666736700 1000105050 2000210100