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130350200 = 23522343659
BaseRepresentation
bin1111100010011…
…11110001111000
3100002021110212012
413301033301320
5231332201300
620533505052
73141646511
oct761176170
9302243765
10130350200
1167641042
12377a2188
132100bcc6
1413451a08
15b69c435
hex7c4fc78

130350200 has 96 divisors (see below), whose sum is σ = 324086400. Its totient is φ = 48639360.

The previous prime is 130350179. The next prime is 130350221. The reversal of 130350200 is 2053031.

It is an interprime number because it is at equal distance from previous prime (130350179) and next prime (130350221).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197471 + ... + 198129.

It is an arithmetic number, because the mean of its divisors is an integer number (3375900).

Almost surely, 2130350200 is an apocalyptic number.

130350200 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 130350200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162043200).

130350200 is an abundant number, since it is smaller than the sum of its proper divisors (193736200).

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

130350200 is a wasteful number, since it uses less digits than its factorization.

130350200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 130350200 is about 11417.1012082752. The cubic root of 130350200 is about 507.0341766529.

The spelling of 130350200 in words is "one hundred thirty million, three hundred fifty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 43 46 50 86 92 100 115 172 184 200 215 230 344 430 460 575 659 860 920 989 1075 1150 1318 1720 1978 2150 2300 2636 3295 3956 4300 4600 4945 5272 6590 7912 8600 9890 13180 15157 16475 19780 24725 26360 28337 30314 32950 39560 49450 56674 60628 65900 75785 98900 113348 121256 131800 141685 151570 197800 226696 283370 303140 378925 566740 606280 651751 708425 757850 1133480 1303502 1416850 1515700 2607004 2833700 3031400 3258755 5214008 5667400 6517510 13035020 16293775 26070040 32587550 65175100 130350200