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11313320014100 = 225213151293196699
BaseRepresentation
bin1010010010100001011001…
…1010111011000100010100
31111001112122201112112100002
42210220112122323010110
52440324134410422400
640021133434510432
72245234421311226
oct244502632730424
944045581475302
1011313320014100
113671a52234a25
12132871bb95418
13640ac2a0c0c0
142b17d3746416
1514944342ded5
hexa4a166bb114

11313320014100 has 144 divisors (see below), whose sum is σ = 26704413724800. Its totient is φ = 4135378752000.

The previous prime is 11313320014097. The next prime is 11313320014109. The reversal of 11313320014100 is 141002331311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313320014109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57417551 + ... + 57614249.

Almost surely, 211313320014100 is an apocalyptic number.

11313320014100 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 11313320014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13352206862400).

11313320014100 is an abundant number, since it is smaller than the sum of its proper divisors (15391093710700).

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

11313320014100 is a wasteful number, since it uses less digits than its factorization.

11313320014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197170 (or 197163 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11313320014100 its reverse (141002331311), we get a palindrome (11454322345411).

The spelling of 11313320014100 in words is "eleven trillion, three hundred thirteen billion, three hundred twenty million, fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 151 260 293 302 325 586 604 650 755 1172 1300 1465 1510 1963 2930 3020 3775 3809 3926 5860 7325 7550 7618 7852 9815 14650 15100 15236 19045 19630 29300 38090 39260 44243 49075 76180 88486 95225 98150 176972 190450 196300 196699 221215 380900 393398 442430 575159 786796 884860 983495 1106075 1150318 1966990 2212150 2300636 2557087 2875795 3933980 4424300 4917475 5114174 5751590 9834950 10228348 11503180 12785435 14378975 19669900 25570870 28757950 29701549 51141740 57515900 57632807 59403098 63927175 115265614 118806196 127854350 148507745 230531228 255708700 288164035 297015490 386120137 576328070 594030980 742538725 749226491 772240274 1152656140 1440820175 1485077450 1498452982 1544480548 1930600685 2881640350 2970154900 2996905964 3746132455 3861201370 5763280700 7492264910 7722402740 8702553857 9653003425 14984529820 17405107714 18730662275 19306006850 34810215428 37461324550 38612013700 43512769285 74922649100 87025538570 113133200141 174051077140 217563846425 226266400282 435127692850 452532800564 565666000705 870255385700 1131332001410 2262664002820 2828330003525 5656660007050 11313320014100