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1012220103300 = 2235277956910723
BaseRepresentation
bin11101011101011010000…
…01010000101010000100
310120202201100200222210120
432232231001100222010
5113041011321301200
62053001341421540
7133062520626240
oct16565501205204
93522640628716
101012220103300
1136030995041a
1214421256a8b0
13745b4c05ab3
1436dc539b420
151b4e44b29a0
hexebad050a84

1012220103300 has 288 divisors, whose sum is σ = 3395715993600. Its totient is φ = 228013194240.

The previous prime is 1012220103287. The next prime is 1012220103311. The reversal of 1012220103300 is 33010222101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1012220103300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94391739 + ... + 94402461.

Almost surely, 21012220103300 is an apocalyptic number.

1012220103300 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 1012220103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697857996800).

1012220103300 is an abundant number, since it is smaller than the sum of its proper divisors (2383495890300).

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

1012220103300 is a wasteful number, since it uses less digits than its factorization.

1012220103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11395 (or 11388 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1012220103300 its reverse (33010222101), we get a palindrome (1045230325401).

The spelling of 1012220103300 in words is "one trillion, twelve billion, two hundred twenty million, one hundred three thousand, three hundred".