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30101130400 = 25521123148721
BaseRepresentation
bin11100000010001010…
…101100110010100000
32212200210120212012111
4130002022230302200
5443121342133100
621454523405104
72113635246445
oct340212546240
985623525174
1030101130400
1111847337880
125a00983794
132ab9313283
141657a519cc
15bb29536ba
hex7022acca0

30101130400 has 144 divisors (see below), whose sum is σ = 83650771008. Its totient is φ = 10469888000.

The previous prime is 30101130391. The next prime is 30101130413. The reversal of 30101130400 is 403110103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128040 + ... + 276760.

It is an arithmetic number, because the mean of its divisors is an integer number (580908132).

Almost surely, 230101130400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30101130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41825385504).

30101130400 is an abundant number, since it is smaller than the sum of its proper divisors (53549640608).

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

30101130400 is a wasteful number, since it uses less digits than its factorization.

30101130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148775 (or 148762 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 30101130400 its reverse (403110103), we get a palindrome (30504240503).

The spelling of 30101130400 in words is "thirty billion, one hundred one million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 80 88 92 100 110 115 160 176 184 200 220 230 253 275 352 368 400 440 460 506 550 575 736 800 880 920 1012 1100 1150 1265 1760 1840 2024 2200 2300 2530 3680 4048 4400 4600 5060 6325 8096 8800 9200 10120 12650 18400 20240 25300 40480 50600 101200 148721 202400 297442 594884 743605 1189768 1487210 1635931 2379536 2974420 3271862 3420583 3718025 4759072 5948840 6543724 6841166 7436050 8179655 11897680 13087448 13682332 14872100 16359310 17102915 23795360 26174896 27364664 29744200 32718620 34205830 37626413 40898275 52349792 54729328 59488400 65437240 68411660 75252826 81796550 85514575 109458656 118976800 130874480 136823320 150505652 163593100 171029150 188132065 261748960 273646640 301011304 327186200 342058300 376264130 547293280 602022608 654372400 684116600 752528260 940660325 1204045216 1308744800 1368233200 1505056520 1881320650 2736466400 3010113040 3762641300 6020226080 7525282600 15050565200 30101130400