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11413110380 = 22572191314679
BaseRepresentation
bin10101010000100011…
…00011111001101100
31002110101210002010212
422220101203321230
5141333224013010
65124302321552
7552553560200
oct125021437154
932411702125
1011413110380
114927448831
1222662892b8
1310cb6a9469
147a3ac8b00
1546be92505
hex2a8463e6c

11413110380 has 144 divisors (see below), whose sum is σ = 29578348800. Its totient is φ = 3678030720.

The previous prime is 11413110349. The next prime is 11413110383. The reversal of 11413110380 is 8301131411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11413110383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2436881 + ... + 2441559.

It is an arithmetic number, because the mean of its divisors is an integer number (205405200).

Almost surely, 211413110380 is an apocalyptic number.

11413110380 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 11413110380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14789174400).

11413110380 is an abundant number, since it is smaller than the sum of its proper divisors (18165238420).

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

11413110380 is a wasteful number, since it uses less digits than its factorization.

11413110380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4852 (or 4843 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 11413110380 its reverse (8301131411), we get a palindrome (19714241791).

The spelling of 11413110380 in words is "eleven billion, four hundred thirteen million, one hundred ten thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 131 133 140 190 196 245 262 266 380 490 524 532 655 665 917 931 980 1310 1330 1834 1862 2489 2620 2660 3668 3724 4585 4655 4679 4978 6419 9170 9310 9358 9956 12445 12838 17423 18340 18620 18716 23395 24890 25676 32095 32753 34846 46790 49780 64190 65506 69692 87115 88901 93580 121961 128380 131012 163765 174230 177802 229271 243922 327530 348460 355604 444505 458542 487844 609805 612949 622307 655060 889010 917084 1146355 1219610 1225898 1244614 1778020 2292710 2439220 2451796 2489228 3064745 3111535 4290643 4356149 4585420 6129490 6223070 8581286 8712298 11646031 12258980 12446140 17162572 17424596 21453215 21780745 23292062 30034501 42906430 43561490 46584124 58230155 60069002 81522217 85812860 87122980 116460310 120138004 150172505 163044434 232920620 300345010 326088868 407611085 570655519 600690020 815222170 1141311038 1630444340 2282622076 2853277595 5706555190 11413110380