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100000021200 = 2435283333351
BaseRepresentation
bin101110100100001110…
…1110011101011010000
3100120010011200102022220
41131020131303223100
53114300001134300
6113534523301040
710140044104212
oct1351035635320
9316104612286
10100000021200
1139456450022
121746997a780
1395788192a1
144ba90685b2
152904240da0
hex1748773ad0

100000021200 has 60 divisors (see below), whose sum is σ = 320333405088. Its totient is φ = 26666672000.

The previous prime is 100000021193. The next prime is 100000021201. The reversal of 100000021200 is 2120000001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000021201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 41665476 + ... + 41667875.

Almost surely, 2100000021200 is an apocalyptic number.

100000021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000021200 is an abundant number, since it is smaller than the sum of its proper divisors (220333383888).

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

100000021200 is a wasteful number, since it uses less digits than its factorization.

100000021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83333372 (or 83333361 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 100000021200 its reverse (2120000001), we get a palindrome (102120021201).

The spelling of 100000021200 in words is "one hundred billion, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 83333351 166666702 250000053 333333404 416666755 500000106 666666808 833333510 1000000212 1250000265 1333333616 1666667020 2000000424 2083333775 2500000530 3333334040 4000000848 4166667550 5000001060 6250001325 6666668080 8333335100 10000002120 12500002650 16666670200 20000004240 25000005300 33333340400 50000010600 100000021200