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100221312200 = 2352501106561
BaseRepresentation
bin101110101010110100…
…1111101110011001000
3100120200121002011111212
41131111221331303020
53120223123442300
6114012510312252
710145402045402
oct1352551756310
9316617064455
10100221312200
113955a355249
121750bab8688
1395b26194c9
144bca5cdb72
1529188a3935
hex1755a7dcc8

100221312200 has 24 divisors (see below), whose sum is σ = 233014551330. Its totient is φ = 40088524800.

The previous prime is 100221312197. The next prime is 100221312223. The reversal of 100221312200 is 2213122001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 62131544644 + 38089767556 = 249262^2 + 195166^2 .

It is a super-2 number, since 2×1002213122002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250553081 + ... + 250553480.

Almost surely, 2100221312200 is an apocalyptic number.

100221312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221312200 is an abundant number, since it is smaller than the sum of its proper divisors (132793239130).

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

100221312200 is a wasteful number, since it uses less digits than its factorization.

100221312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501106577 (or 501106568 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100221312200 its reverse (2213122001), we get a palindrome (102434434201).

The spelling of 100221312200 in words is "one hundred billion, two hundred twenty-one million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 501106561 1002213122 2004426244 2505532805 4008852488 5011065610 10022131220 12527664025 20044262440 25055328050 50110656100 100221312200