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130144334200 = 235219131261439
BaseRepresentation
bin111100100110100110…
…1001111000101111000
3110102220222112011220221
41321031031033011320
54113013422143300
6135442032425424
712255045405526
oct1711515170570
9412828464827
10130144334200
11502150a15a1
12212810a8274
13c370a6b89a
14642871b316
1535ba87431a
hex1e4d34f178

130144334200 has 96 divisors (see below), whose sum is σ = 320943744000. Its totient is φ = 48941193600.

The previous prime is 130144334197. The next prime is 130144334213. The reversal of 130144334200 is 2433441031.

It is a super-2 number, since 2×1301443342002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 367081 + ... + 628519.

It is an arithmetic number, because the mean of its divisors is an integer number (3343164000).

Almost surely, 2130144334200 is an apocalyptic number.

130144334200 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 130144334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160471872000).

130144334200 is an abundant number, since it is smaller than the sum of its proper divisors (190799409800).

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

130144334200 is a wasteful number, since it uses less digits than its factorization.

130144334200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261605 (or 261596 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 130144334200 its reverse (2433441031), we get a palindrome (132577775231).

The spelling of 130144334200 in words is "one hundred thirty billion, one hundred forty-four million, three hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 131 152 190 200 262 380 475 524 655 760 950 1048 1310 1900 2489 2620 3275 3800 4978 5240 6550 9956 12445 13100 19912 24890 26200 49780 62225 99560 124450 248900 261439 497800 522878 1045756 1307195 2091512 2614390 4967341 5228780 6535975 9934682 10457560 13071950 19869364 24836705 26143900 34248509 39738728 49673410 52287800 68497018 99346820 124183525 136994036 171242545 198693640 248367050 273988072 342485090 496734100 650721671 684970180 856212725 993468200 1301443342 1369940360 1712425450 2602886684 3253608355 3424850900 5205773368 6507216710 6849701800 13014433420 16268041775 26028866840 32536083550 65072167100 130144334200