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100021020200 = 2352500105101
BaseRepresentation
bin101110100100110110…
…1111010011000101000
3100120011122012021112122
41131021231322120220
53114320340121300
6113540553330412
710140420433613
oct1351155723050
9316148167478
10100021020200
1139467292972
1217474a06a08
13957cc8c32a
144babb7317a
152905edcc85
hex1749b7a628

100021020200 has 24 divisors (see below), whose sum is σ = 232548872430. Its totient is φ = 40008408000.

The previous prime is 100021020167. The next prime is 100021020217. The reversal of 100021020200 is 2020120001.

It can be written as a sum of positive squares in 3 ways, for example, as 59611175716 + 40409844484 = 244154^2 + 201022^2 .

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

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 5 ways as a sum of consecutive naturals, for example, 250052351 + ... + 250052750.

Almost surely, 2100021020200 is an apocalyptic number.

100021020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021020200 is an abundant number, since it is smaller than the sum of its proper divisors (132527852230).

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

100021020200 is a wasteful number, since it uses less digits than its factorization.

100021020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500105117 (or 500105108 counting only the distinct ones).

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

Adding to 100021020200 its reverse (2020120001), we get a palindrome (102041140201).

The spelling of 100021020200 in words is "one hundred billion, twenty-one million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 500105101 1000210202 2000420404 2500525505 4000840808 5001051010 10002102020 12502627525 20004204040 25005255050 50010510100 100021020200