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100221202020 = 22351670353367
BaseRepresentation
bin101110101010110100…
…1100010111001100100
3100120200120212120101010
41131111221202321210
53120223111431040
6114012504102220
710145401106232
oct1352551427144
9316616776333
10100221202020
113955a28a495
121750ba64970
1395b25ab304
144bca5a1952
152918880e80
hex1755a62e64

100221202020 has 24 divisors (see below), whose sum is σ = 280619365824. Its totient is φ = 26725653856.

The previous prime is 100221202013. The next prime is 100221202043. The reversal of 100221202020 is 20202122001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100221201987 and 100221202005.

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 7 ways as a sum of consecutive naturals, for example, 835176624 + ... + 835176743.

It is an arithmetic number, because the mean of its divisors is an integer number (11692473576).

Almost surely, 2100221202020 is an apocalyptic number.

100221202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221202020 is an abundant number, since it is smaller than the sum of its proper divisors (180398163804).

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

100221202020 is a wasteful number, since it uses less digits than its factorization.

100221202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670353379 (or 1670353377 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100221202020 its reverse (20202122001), we get a palindrome (120423324021).

The spelling of 100221202020 in words is "one hundred billion, two hundred twenty-one million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1670353367 3340706734 5011060101 6681413468 8351766835 10022120202 16703533670 20044240404 25055300505 33407067340 50110601010 100221202020