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2010130201200 = 2435211461330331
BaseRepresentation
bin11101010000000101000…
…110001011101001110000
321010011111102121101120010
4131100011012023221300
5230413221312414300
64135235134214520
7265140620536242
oct35200506135160
97104442541503
102010130201200
117055451049a0
122856b0654440
1311772920aa74
146d410026092
153744c508a50
hex1d40518ba70

2010130201200 has 240 divisors, whose sum is σ = 7039750177152. Its totient is φ = 486245760000.

The previous prime is 2010130201171. The next prime is 2010130201217. The reversal of 2010130201200 is 21020310102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5920035 + ... + 6250365.

Almost surely, 22010130201200 is an apocalyptic number.

2010130201200 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 2010130201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519875088576).

2010130201200 is an abundant number, since it is smaller than the sum of its proper divisors (5029619975952).

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

2010130201200 is a wasteful number, since it uses less digits than its factorization.

2010130201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330824 (or 330813 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2010130201200 its reverse (21020310102), we get a palindrome (2031150511302).

The spelling of 2010130201200 in words is "two trillion, ten billion, one hundred thirty million, two hundred one thousand, two hundred".