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11320320302300 = 22521953791422991
BaseRepresentation
bin1010010010111011011110…
…1010111001110011011100
31111002012201120211000110102
42210232313222321303130
52440433003444133200
640024252223200232
72245603042630562
oct244566752716334
944065646730412
1011320320302300
113674a14766079
121329b54446078
1364166a0b6279
142b1c99339a32
15149702ca36d5
hexa4bb7ab9cdc

11320320302300 has 144 divisors (see below), whose sum is σ = 26679392409600. Its totient is φ = 4155586156800.

The previous prime is 11320320302299. The next prime is 11320320302303. The reversal of 11320320302300 is 320302302311.

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 (11320320302303) 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, 7243805 + ... + 8666795.

It is an arithmetic number, because the mean of its divisors is an integer number (185273558400).

Almost surely, 211320320302300 is an apocalyptic number.

11320320302300 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 11320320302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13339696204800).

11320320302300 is an abundant number, since it is smaller than the sum of its proper divisors (15359072107300).

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

11320320302300 is a wasteful number, since it uses less digits than its factorization.

11320320302300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423156 (or 1423149 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 11320320302300 its reverse (320302302311), we get a palindrome (11640622604611).

The spelling of 11320320302300 in words is "eleven trillion, three hundred twenty billion, three hundred twenty million, three hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 53 76 79 95 100 106 158 190 212 265 316 380 395 475 530 790 950 1007 1060 1325 1501 1580 1900 1975 2014 2650 3002 3950 4028 4187 5035 5300 6004 7505 7900 8374 10070 15010 16748 20140 20935 25175 30020 37525 41870 50350 75050 79553 83740 100700 104675 150100 159106 209350 318212 397765 418700 795530 1422991 1591060 1988825 2845982 3977650 5691964 7114955 7955300 14229910 27036829 28459820 35574775 54073658 71149550 75418523 108147316 112416289 135184145 142299100 150837046 224832578 270368290 301674092 377092615 449665156 540736580 562081445 675920725 754185230 1124162890 1351841450 1432951937 1508370460 1885463075 2135909491 2248325780 2703682900 2810407225 2865903874 3770926150 4271818982 5620814450 5731807748 5958063317 7164759685 7541852300 8543637964 10679547455 11241628900 11916126634 14329519370 21359094910 23832253268 28659038740 29790316585 35823798425 42718189820 53397737275 59580633170 71647596850 106795474550 113203203023 119161266340 143295193700 148951582925 213590949100 226406406046 297903165850 452812812092 566016015115 595806331700 1132032030230 2264064060460 2830080075575 5660160151150 11320320302300