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100234200 = 233521115187
BaseRepresentation
bin1011111100101…
…11001111011000
320222121102110210
411332113033120
5201124443300
613540211120
72324655663
oct576271730
9228542423
10100234200
1151641490
1229699aa0
13179c62a1
14d4526da
158bee050
hex5f973d8

100234200 has 96 divisors (see below), whose sum is σ = 338996160. Its totient is φ = 24297600.

The previous prime is 100234157. The next prime is 100234201. The reversal of 100234200 is 2432001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100234201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 994 + ... + 14193.

It is an arithmetic number, because the mean of its divisors is an integer number (3531210).

Almost surely, 2100234200 is an apocalyptic number.

100234200 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 100234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169498080).

100234200 is an abundant number, since it is smaller than the sum of its proper divisors (238761960).

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

100234200 is a wasteful number, since it uses less digits than its factorization.

100234200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15217 (or 15208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 100234200 is about 10011.7031518119. The cubic root of 100234200 is about 464.5209542198.

Adding to 100234200 its reverse (2432001), we get a palindrome (102666201).

The spelling of 100234200 in words is "one hundred million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 15187 30374 45561 60748 75935 91122 121496 151870 167057 182244 227805 303740 334114 364488 379675 455610 501171 607480 668228 759350 835285 911220 1002342 1139025 1336456 1518700 1670570 1822440 2004684 2278050 2505855 3037400 3341140 4009368 4176425 4556100 5011710 6682280 8352850 9112200 10023420 12529275 16705700 20046840 25058550 33411400 50117100 100234200