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130001200 = 24527291601
BaseRepresentation
bin1111011111110…
…10100100110000
3100001121202010021
413233322210300
5231240014300
620522213224
73135664150
oct757724460
9301552107
10130001200
116742290a
1237654214
1320c191b4
14133a0760
15b62dd1a
hex7bfa930

130001200 has 120 divisors (see below), whose sum is σ = 369485280. Its totient is φ = 43008000.

The previous prime is 130001191. The next prime is 130001203. The reversal of 130001200 is 2100031.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (130001203) 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, 80400 + ... + 82000.

It is an arithmetic number, because the mean of its divisors is an integer number (3079044).

Almost surely, 2130001200 is an apocalyptic number.

130001200 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 130001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184742640).

130001200 is an abundant number, since it is smaller than the sum of its proper divisors (239484080).

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

130001200 is a wasteful number, since it uses less digits than its factorization.

130001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 130001200 is about 11401.8068743511. The cubic root of 130001200 is about 506.5812606121.

Adding to 130001200 its reverse (2100031), we get a palindrome (132101231).

The spelling of 130001200 in words is "one hundred thirty million, one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 29 35 40 50 56 58 70 80 100 112 116 140 145 175 200 203 232 280 290 350 400 406 464 560 580 700 725 812 1015 1160 1400 1450 1601 1624 2030 2320 2800 2900 3202 3248 4060 5075 5800 6404 8005 8120 10150 11207 11600 12808 16010 16240 20300 22414 25616 32020 40025 40600 44828 46429 56035 64040 80050 81200 89656 92858 112070 128080 160100 179312 185716 224140 232145 280175 320200 325003 371432 448280 464290 560350 640400 650006 742864 896560 928580 1120700 1160725 1300012 1625015 1857160 2241400 2321450 2600024 3250030 3714320 4482800 4642900 5200048 6500060 8125075 9285800 13000120 16250150 18571600 26000240 32500300 65000600 130001200