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101020220000 = 255477110163
BaseRepresentation
bin101111000010101000…
…1100011101001100000
3100122202021100212222122
41132011101203221200
53123342134020000
6114224045523412
710204242462560
oct1360521435140
9318667325878
10101020220000
113992a30a527
12176b3573568
1396abca920b
144c64752da0
152963ab2085
hex1785463a60

101020220000 has 240 divisors, whose sum is σ = 288057192192. Its totient is φ = 34144320000.

The previous prime is 101020219991. The next prime is 101020220023. The reversal of 101020220000 is 22020101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101020220000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9934919 + ... + 9945081.

Almost surely, 2101020220000 is an apocalyptic number.

101020220000 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 101020220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144028596096).

101020220000 is an abundant number, since it is smaller than the sum of its proper divisors (187036972192).

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

101020220000 is an equidigital number, since it uses as much as digits as its factorization.

101020220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10271 (or 10248 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 101020220000 its reverse (22020101), we get a palindrome (101042240101).

The spelling of 101020220000 in words is "one hundred one billion, twenty million, two hundred twenty thousand".