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130240215200 = 25521812713319
BaseRepresentation
bin111100101001011101…
…0111111100010100000
3110110011122221102221002
41321102322333202200
54113212443341300
6135455335451132
712260321364134
oct1712272774240
9413148842832
10130240215200
115026422a397
12212a9226aa8
13c38789c5c4
1464373593c4
1535c3eb35d5
hex1e52ebf8a0

130240215200 has 144 divisors (see below), whose sum is σ = 320981955840. Its totient is φ = 51601536000.

The previous prime is 130240215199. The next prime is 130240215241. The reversal of 130240215200 is 2512042031.

It is a super-2 number, since 2×1302402152002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 39239141 + ... + 39242459.

It is an arithmetic number, because the mean of its divisors is an integer number (2229041360).

Almost surely, 2130240215200 is an apocalyptic number.

130240215200 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 130240215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160490977920).

130240215200 is an abundant number, since it is smaller than the sum of its proper divisors (190741740640).

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

130240215200 is a wasteful number, since it uses less digits than its factorization.

130240215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3791 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 130240215200 its reverse (2512042031), we get a palindrome (132752257231).

The spelling of 130240215200 in words is "one hundred thirty billion, two hundred forty million, two hundred fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 181 200 271 362 400 542 724 800 905 1084 1355 1448 1810 2168 2710 2896 3319 3620 4336 4525 5420 5792 6638 6775 7240 8672 9050 10840 13276 13550 14480 16595 18100 21680 26552 27100 28960 33190 36200 43360 49051 53104 54200 66380 72400 82975 98102 106208 108400 132760 144800 165950 196204 216800 245255 265520 331900 392408 490510 531040 600739 663800 784816 899449 981020 1201478 1226275 1327600 1569632 1798898 1962040 2402956 2452550 2655200 3003695 3597796 3924080 4497245 4805912 4905100 6007390 7195592 7848160 8994490 9611824 9810200 12014780 14391184 15018475 17988980 19223648 19620400 22486225 24029560 28782368 30036950 35977960 39240800 44972450 48059120 60073900 71955920 89944900 96118240 120147800 143911840 162800269 179889800 240295600 325600538 359779600 480591200 651201076 719559200 814001345 1302402152 1628002690 2604804304 3256005380 4070006725 5209608608 6512010760 8140013450 13024021520 16280026900 26048043040 32560053800 65120107600 130240215200