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131322211313320 = 235191099463167521
BaseRepresentation
bin11101110110111111010101…
…110000011010011010101000
3122012222021120200212100212001
4131312333111300122122220
5114203040342044011240
61143144331355100344
736442500550345516
oct3566772560323250
9565867520770761
10131322211313320
11389304897a5905
121288b15aa416b4
13583782921a171
1424600595b34b6
15102aed343d89a
hex776fd5c1a6a8

131322211313320 has 128 divisors (see below), whose sum is σ = 313914785184000. Its totient is φ = 49302149160960.

The previous prime is 131322211313311. The next prime is 131322211313333. The reversal of 131322211313320 is 23313112223131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 783831160 + ... + 783998680.

It is an arithmetic number, because the mean of its divisors is an integer number (2452459259250).

Almost surely, 2131322211313320 is an apocalyptic number.

131322211313320 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 131322211313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156957392592000).

131322211313320 is an abundant number, since it is smaller than the sum of its proper divisors (182592573870680).

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

131322211313320 is a wasteful number, since it uses less digits than its factorization.

131322211313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177123 (or 177119 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 131322211313320 its reverse (23313112223131), we get a palindrome (154635323536451).

The spelling of 131322211313320 in words is "one hundred thirty-one trillion, three hundred twenty-two billion, two hundred eleven million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 109 152 190 218 380 436 545 760 872 1090 2071 2180 4142 4360 8284 9463 10355 16568 18926 20710 37852 41420 47315 75704 82840 94630 167521 179797 189260 335042 359594 378520 670084 719188 837605 898985 1031467 1340168 1438376 1675210 1797970 2062934 3182899 3350420 3595940 4125868 5157335 6365798 6700840 7191880 8251736 10314670 12731596 15914495 18259789 19597873 20629340 25463192 31828990 36519578 39195746 41258680 63657980 73039156 78391492 91298945 97989365 127315960 146078312 156782984 182597890 195978730 346935991 365195780 391957460 693871982 730391560 783914920 1387743964 1585251223 1734679955 2775487928 3170502446 3469359910 6341004892 6938719820 7926256115 12682009784 13877439640 15852512230 30119773237 31705024460 60239546474 63410048920 120479092948 150598866185 172792383307 240958185896 301197732370 345584766614 602395464740 691169533228 863961916535 1204790929480 1382339066456 1727923833070 3283055282833 3455847666140 6566110565666 6911695332280 13132221131332 16415276414165 26264442262664 32830552828330 65661105656660 131322211313320