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11130231300 = 223522310191583
BaseRepresentation
bin10100101110110100…
…11101101000000100
31001201200111022222220
422113122131220010
5140243314400200
65040235252340
7542550255636
oct122732355004
931650438886
1011130231300
1147a17a8571
1221a75aa0b0
131084bc44a6
147782d0a56
154522164a0
hex29769da04

11130231300 has 144 divisors (see below), whose sum is σ = 33657845760. Its totient is φ = 2834437760.

The previous prime is 11130231263. The next prime is 11130231361. The reversal of 11130231300 is 313203111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11130231300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7030309 + ... + 7031891.

It is an arithmetic number, because the mean of its divisors is an integer number (233735040).

Almost surely, 211130231300 is an apocalyptic number.

11130231300 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 11130231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16828922880).

11130231300 is an abundant number, since it is smaller than the sum of its proper divisors (22527614460).

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

11130231300 is a wasteful number, since it uses less digits than its factorization.

11130231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11130231300 its reverse (313203111), we get a palindrome (11443434411).

The spelling of 11130231300 in words is "eleven billion, one hundred thirty million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1019 1150 1380 1583 1725 2038 2300 3057 3166 3450 4076 4749 5095 6114 6332 6900 7915 9498 10190 12228 15285 15830 18996 20380 23437 23745 25475 30570 31660 36409 39575 46874 47490 50950 61140 70311 72818 76425 79150 93748 94980 101900 109227 117185 118725 140622 145636 152850 158300 182045 218454 234370 237450 281244 305700 351555 364090 436908 468740 474900 546135 585925 703110 728180 910225 1092270 1171850 1406220 1613077 1757775 1820450 2184540 2343700 2730675 3226154 3515550 3640900 4839231 5461350 6452308 7031100 8065385 9678462 10922700 16130770 19356924 24196155 32261540 37100771 40326925 48392310 74201542 80653850 96784620 111302313 120980775 148403084 161307700 185503855 222604626 241961550 371007710 445209252 483923100 556511565 742015420 927519275 1113023130 1855038550 2226046260 2782557825 3710077100 5565115650 11130231300