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20103010200000 = 2632557133137107
BaseRepresentation
bin1001001001000100110001…
…10010000010100111000000
32122011211101100022212000100
410210202120302002213000
510113331431102400000
6110431110112122400
74143252222204450
oct444423062024700
978154340285010
1020103010200000
11645070319aa32
122308121536400
13b2a9236395c0
144d6dc2dbbd60
1524cdd34cba00
hex124898c829c0

20103010200000 has 4032 divisors, whose sum is σ = 94853784969216. Its totient is φ = 3956428800000.

The previous prime is 20103010199983. The next prime is 20103010200001. The reversal of 20103010200000 is 201030102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 (20103010200001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 187878599947 + ... + 187878600053.

It is an arithmetic number, because the mean of its divisors is an integer number (23525244288).

Almost surely, 220103010200000 is an apocalyptic number.

20103010200000 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 20103010200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47426892484608).

20103010200000 is an abundant number, since it is smaller than the sum of its proper divisors (74750774769216).

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

20103010200000 is a wasteful number, since it uses less digits than its factorization.

20103010200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20103010200000 its reverse (201030102), we get a palindrome (20103211230102).

20103010200000 divided by its reverse (201030102) gives a 5-th power (100000 = 105).

The spelling of 20103010200000 in words is "twenty trillion, one hundred three billion, ten million, two hundred thousand".