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10210114201320 = 23325119072842681
BaseRepresentation
bin1001010010010011101000…
…1110101110011011101000
31100011002002102011121012200
42110210322032232123220
52314240303213420240
633414243421340200
72102441101523565
oct224447216563350
940132072147180
1010210114201320
1132870a3320390
12118a956707660
13590a6aa0b5b7
1427425a5bd86c
1512a8c62d2930
hex9493a3ae6e8

10210114201320 has 192 divisors, whose sum is σ = 36239419794240. Its totient is φ = 2472449356800.

The previous prime is 10210114201303. The next prime is 10210114201349. The reversal of 10210114201320 is 2310241101201.

10210114201320 is a `hidden beast` number, since 1 + 0 + 210 + 1 + 1 + 420 + 1 + 32 + 0 = 666.

10210114201320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10210114201293 and 10210114201302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2170380 + ... + 5013060.

It is an arithmetic number, because the mean of its divisors is an integer number (188746978095).

Almost surely, 210210114201320 is an apocalyptic number.

10210114201320 is a gapful number since it is divisible by the number (10) 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 10210114201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18119709897120).

10210114201320 is an abundant number, since it is smaller than the sum of its proper divisors (26029305592920).

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

10210114201320 is a wasteful number, since it uses less digits than its factorization.

10210114201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843616 (or 2843609 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10210114201320 its reverse (2310241101201), we get a palindrome (12520355302521).

The spelling of 10210114201320 in words is "ten trillion, two hundred ten billion, one hundred fourteen million, two hundred one thousand, three hundred twenty".