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2010214353120 = 2535293119311981
BaseRepresentation
bin11101010000001010000…
…111001100100011100000
321010011201021221202021220
4131100022013030203200
5230413404333244440
64135251342015040
7265142662034151
oct35201207144340
97104637852256
102010214353120
11705588661536
12285714877480
13117740792bbc
146d41b28d928
1537454acc8d0
hex1d40a1cc8e0

2010214353120 has 192 divisors, whose sum is σ = 6359643388224. Its totient is φ = 533735260160.

The previous prime is 2010214353031. The next prime is 2010214353137. The reversal of 2010214353120 is 213534120102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167777530 + ... + 167789510.

It is an arithmetic number, because the mean of its divisors is an integer number (33123142647).

Almost surely, 22010214353120 is an apocalyptic number.

2010214353120 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 2010214353120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179821694112).

2010214353120 is an abundant number, since it is smaller than the sum of its proper divisors (4349429035104).

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

2010214353120 is a wasteful number, since it uses less digits than its factorization.

2010214353120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13485 (or 13477 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 2010214353120 its reverse (213534120102), we get a palindrome (2223748473222).

The spelling of 2010214353120 in words is "two trillion, ten billion, two hundred fourteen million, three hundred fifty-three thousand, one hundred twenty".