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101203400 = 2352717127
BaseRepresentation
bin1100000100000…
…11110111001000
321001102122222002
412002003313020
5201402002100
614013050132
72336133434
oct602036710
9231378862
10101203400
1152143681
1229a86948
1317c7548c
14d6259c4
158d412d5
hex6083dc8

101203400 has 48 divisors (see below), whose sum is σ = 238645440. Its totient is φ = 39905600.

The previous prime is 101203393. The next prime is 101203409. The reversal of 101203400 is 4302101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101203409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10637 + ... + 17763.

It is an arithmetic number, because the mean of its divisors is an integer number (4971780).

Almost surely, 2101203400 is an apocalyptic number.

101203400 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 101203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119322720).

101203400 is an abundant number, since it is smaller than the sum of its proper divisors (137442040).

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

101203400 is a wasteful number, since it uses less digits than its factorization.

101203400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7214 (or 7205 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 101203400 is about 10059.9900596372. The cubic root of 101203400 is about 466.0133602118.

Adding to 101203400 its reverse (4302101), we get a palindrome (105505501).

The spelling of 101203400 in words is "one hundred one million, two hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 2840 3550 7100 7127 14200 14254 28508 35635 57016 71270 142540 178175 285080 356350 506017 712700 1012034 1425400 2024068 2530085 4048136 5060170 10120340 12650425 20240680 25300850 50601700 101203400