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1213132200 = 233527241263
BaseRepresentation
bin100100001001110…
…1110110110101000
310010112201111112020
41020103232312220
54441030212300
6320213344440
742030311400
oct11023566650
93115644466
101213132200
115728661a5
1229a338120
13164441907
14b718b800
15717818a0
hex484eeda8

1213132200 has 144 divisors (see below), whose sum is σ = 4374809280. Its totient is φ = 277280640.

The previous prime is 1213132183. The next prime is 1213132237. The reversal of 1213132200 is 22313121.

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 1213132200.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8769 + ... + 50031.

It is an arithmetic number, because the mean of its divisors is an integer number (30380620).

Almost surely, 21213132200 is an apocalyptic number.

1213132200 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 1213132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187404640).

1213132200 is an abundant number, since it is smaller than the sum of its proper divisors (3161677080).

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

1213132200 is a wasteful number, since it uses less digits than its factorization.

1213132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41296 (or 41280 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1213132200 is about 34830.0473729221. The cubic root of 1213132200 is about 1066.5209154151.

Adding to 1213132200 its reverse (22313121), we get a palindrome (1235445321).

The spelling of 1213132200 in words is "one billion, two hundred thirteen million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4900 5880 7350 9800 14700 29400 41263 82526 123789 165052 206315 247578 288841 330104 412630 495156 577682 618945 825260 866523 990312 1031575 1155364 1237890 1444205 1650520 1733046 2021887 2063150 2310728 2475780 2888410 3094725 3466092 4043774 4126300 4332615 4951560 5776820 6065661 6189450 6932184 7221025 8087548 8252600 8665230 10109435 11553640 12131322 12378900 14442050 16175096 17330460 20218870 21663075 24262644 24757800 28884100 30328305 34660920 40437740 43326150 48525288 50547175 57768200 60656610 80875480 86652300 101094350 121313220 151641525 173304600 202188700 242626440 303283050 404377400 606566100 1213132200