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101214300 = 223521130671
BaseRepresentation
bin1100000100001…
…10100001011100
321001110012220210
412002012201130
5201402324200
614013212420
72336210265
oct602064134
9231405823
10101214300
1152150890
1229a91110
1317c7a425
14d62996c
158d44650
hex608685c

101214300 has 72 divisors (see below), whose sum is σ = 319479552. Its totient is φ = 24536000.

The previous prime is 101214251. The next prime is 101214307. The reversal of 101214300 is 3412101.

It is a happy number.

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 (101214307) 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, 12036 + ... + 18635.

It is an arithmetic number, because the mean of its divisors is an integer number (4437216).

Almost surely, 2101214300 is an apocalyptic number.

101214300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101214300 is an abundant number, since it is smaller than the sum of its proper divisors (218265252).

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

101214300 is a wasteful number, since it uses less digits than its factorization.

101214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30699 (or 30692 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101214300 is about 10060.5317950892. The cubic root of 101214300 is about 466.0300900953.

Adding to 101214300 its reverse (3412101), we get a palindrome (104626401).

The spelling of 101214300 in words is "one hundred one million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 30671 61342 92013 122684 153355 184026 306710 337381 368052 460065 613420 674762 766775 920130 1012143 1349524 1533550 1686905 1840260 2024286 2300325 3067100 3373810 4048572 4600650 5060715 6747620 8434525 9201300 10121430 16869050 20242860 25303575 33738100 50607150 101214300