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101164200 = 233521391213
BaseRepresentation
bin1100000011110…
…10010010101000
321001100200012020
412001322102220
5201344223300
614012144440
72335611234
oct601722250
9231320166
10101164200
1152117185
1229a68120
1317c60697
14d6155c4
158d348a0
hex607a4a8

101164200 has 96 divisors (see below), whose sum is σ = 316125600. Its totient is φ = 26760960.

The previous prime is 101164199. The next prime is 101164201. The reversal of 101164200 is 2461101.

It is an interprime number because it is at equal distance from previous prime (101164199) and next prime (101164201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101164200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101164201) 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 23 ways as a sum of consecutive naturals, for example, 82794 + ... + 84006.

It is an arithmetic number, because the mean of its divisors is an integer number (3292975).

Almost surely, 2101164200 is an apocalyptic number.

101164200 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 101164200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158062800).

101164200 is an abundant number, since it is smaller than the sum of its proper divisors (214961400).

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

101164200 is a wasteful number, since it uses less digits than its factorization.

101164200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 101164200 is about 10058.0415588722. The cubic root of 101164200 is about 465.9531840951.

The spelling of 101164200 in words is "one hundred one million, one hundred sixty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 139 150 200 278 300 417 556 600 695 834 1112 1213 1390 1668 2085 2426 2780 3336 3475 3639 4170 4852 5560 6065 6950 7278 8340 9704 10425 12130 13900 14556 16680 18195 20850 24260 27800 29112 30325 36390 41700 48520 60650 72780 83400 90975 121300 145560 168607 181950 242600 337214 363900 505821 674428 727800 843035 1011642 1348856 1686070 2023284 2529105 3372140 4046568 4215175 5058210 6744280 8430350 10116420 12645525 16860700 20232840 25291050 33721400 50582100 101164200