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130112111200 = 25521747919973
BaseRepresentation
bin111100100101101001…
…0010100001001100000
3110102211201220002021111
41321023102110021200
54112432200024300
6135434522033104
712254204461111
oct1711322241140
9412751802244
10130112111200
11501a8992a15
1221272348794
13c367198b16
146424330208
1535b7b0b9ba
hex1e4b494260

130112111200 has 144 divisors (see below), whose sum is σ = 337039678080. Its totient is φ = 48878673920.

The previous prime is 130112111197. The next prime is 130112111209. The reversal of 130112111200 is 2111211031.

It is a happy number.

It is a super-2 number, since 2×1301121112002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130112111209) 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, 6504414 + ... + 6524386.

It is an arithmetic number, because the mean of its divisors is an integer number (2340553320).

Almost surely, 2130112111200 is an apocalyptic number.

130112111200 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 130112111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168519839040).

130112111200 is an abundant number, since it is smaller than the sum of its proper divisors (206927566880).

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

130112111200 is a wasteful number, since it uses less digits than its factorization.

130112111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20489 (or 20476 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 130112111200 its reverse (2111211031), we get a palindrome (132223322231).

The spelling of 130112111200 in words is "one hundred thirty billion, one hundred twelve million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 479 544 680 800 850 958 1360 1700 1916 2395 2720 3400 3832 4790 6800 7664 8143 9580 11975 13600 15328 16286 19160 19973 23950 32572 38320 39946 40715 47900 65144 76640 79892 81430 95800 99865 130288 159784 162860 191600 199730 203575 260576 319568 325720 339541 383200 399460 407150 499325 639136 651440 679082 798920 814300 998650 1302880 1358164 1597840 1628600 1697705 1997300 2716328 3195680 3257200 3395410 3994600 5432656 6514400 6790820 7989200 8488525 9567067 10865312 13581640 15978400 16977050 19134134 27163280 33954100 38268268 47835335 54326560 67908200 76536536 95670670 135816400 153073072 162640139 191341340 239176675 271632800 306146144 325280278 382682680 478353350 650560556 765365360 813200695 956706700 1301121112 1530730720 1626401390 1913413400 2602242224 3252802780 3826826800 4066003475 5204484448 6505605560 7653653600 8132006950 13011211120 16264013900 26022422240 32528027800 65056055600 130112111200