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100421200 = 24521129787
BaseRepresentation
bin1011111110001…
…00111001010000
320222221220222201
411333010321100
5201201434300
613544212544
72326365115
oct577047120
9228856881
10100421200
1151759a30
122976a154
1317a60439
14d4a090c
158c3966a
hex5fc4e50

100421200 has 120 divisors (see below), whose sum is σ = 272616480. Its totient is φ = 35212800.

The previous prime is 100421173. The next prime is 100421201. The reversal of 100421200 is 2124001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100421201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127207 + ... + 127993.

It is an arithmetic number, because the mean of its divisors is an integer number (2271804).

Almost surely, 2100421200 is an apocalyptic number.

100421200 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 100421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136308240).

100421200 is an abundant number, since it is smaller than the sum of its proper divisors (172195280).

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

100421200 is a wasteful number, since it uses less digits than its factorization.

100421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 100421200 is about 10021.0378704005. The cubic root of 100421200 is about 464.8096496111.

Adding to 100421200 its reverse (2124001), we get a palindrome (102545201).

The spelling of 100421200 in words is "one hundred million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 40 44 50 55 58 80 88 100 110 116 145 176 200 220 232 275 290 319 400 440 464 550 580 638 725 787 880 1100 1160 1276 1450 1574 1595 2200 2320 2552 2900 3148 3190 3935 4400 5104 5800 6296 6380 7870 7975 8657 11600 12592 12760 15740 15950 17314 19675 22823 25520 31480 31900 34628 39350 43285 45646 62960 63800 69256 78700 86570 91292 114115 127600 138512 157400 173140 182584 216425 228230 251053 314800 346280 365168 432850 456460 502106 570575 692560 865700 912920 1004212 1141150 1255265 1731400 1825840 2008424 2282300 2510530 3462800 4016848 4564600 5021060 6276325 9129200 10042120 12552650 20084240 25105300 50210600 100421200