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101010210000 = 243547481001
BaseRepresentation
bin101111000010010101…
…1010111110011010000
3100122201120112022211220
41132010223113303100
53123332103210000
6114223051205040
710204061422110
oct1360453276320
9318646468756
10101010210000
11399246a28a7
12176b0146780
1396a9bb2c3b
144c632a9040
152962c861a0
hex1784ad7cd0

101010210000 has 200 divisors, whose sum is σ = 372657261504. Its totient is φ = 23088000000.

The previous prime is 101010209999. The next prime is 101010210031. The reversal of 101010210000 is 12010101.

It is a tau number, because it is divible by the number of its divisors (200).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30501 + ... + 450500.

Almost surely, 2101010210000 is an apocalyptic number.

101010210000 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 101010210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186328630752).

101010210000 is an abundant number, since it is smaller than the sum of its proper divisors (271647051504).

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

101010210000 is an equidigital number, since it uses as much as digits as its factorization.

101010210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481039 (or 481018 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101010210000 its reverse (12010101), we get a palindrome (101022220101).

The spelling of 101010210000 in words is "one hundred one billion, ten million, two hundred ten thousand".