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130322000200 = 23527351126513
BaseRepresentation
bin111100101011111001…
…0111110100101001000
3110110101100211112212011
41321113302332211020
54113344413001300
6135511420425304
712262333503310
oct1712762764510
9413340745764
10130322000200
11502a640a6a7
12213106a8234
13c39b8062b2
146444168440
1535cb26aeba
hex1e57cbe948

130322000200 has 96 divisors (see below), whose sum is σ = 346395864960. Its totient is φ = 44667417600.

The previous prime is 130322000197. The next prime is 130322000203. The reversal of 130322000200 is 2000223031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130322000197) and next prime (130322000203).

It is a super-2 number, since 2×1303220002002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130322000203) 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, 4902144 + ... + 4928656.

It is an arithmetic number, because the mean of its divisors is an integer number (3608290260).

Almost surely, 2130322000200 is an apocalyptic number.

130322000200 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 130322000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173197932480).

130322000200 is an abundant number, since it is smaller than the sum of its proper divisors (216073864760).

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

130322000200 is a wasteful number, since it uses less digits than its factorization.

130322000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30047 (or 30038 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 130322000200 its reverse (2000223031), we get a palindrome (132322223231).

The spelling of 130322000200 in words is "one hundred thirty billion, three hundred twenty-two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 3511 7022 14044 17555 24577 26513 28088 35110 49154 53026 70220 87775 98308 106052 122885 132565 140440 175550 185591 196616 212104 245770 265130 351100 371182 491540 530260 614425 662825 702200 742364 927955 983080 1060520 1228850 1325650 1484728 1855910 2457700 2651300 3711820 4639775 4915400 5302600 7423640 9279550 18559100 37118200 93087143 186174286 372348572 465435715 651610001 744697144 930871430 1303220002 1861742860 2327178575 2606440004 3258050005 3723485720 4654357150 5212880008 6516100010 9308714300 13032200020 16290250025 18617428600 26064400040 32580500050 65161000100 130322000200