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1322131101330 = 2351317918938993
BaseRepresentation
bin10011001111010101001…
…001111001011010010010
311200101122120220212220210
4103033111021321122102
5133130211030220310
62451213441544550
7164343432635604
oct23172511713222
94611576825823
101322131101330
1146a7925a2186
121942a3045156
13978a415c280
1447dc48d5174
15245d1ced820
hex133d5279692

1322131101330 has 64 divisors (see below), whose sum is σ = 3436291071360. Its totient is φ = 323629495296.

The previous prime is 1322131101323. The next prime is 1322131101419. The reversal of 1322131101330 is 331011312231.

It is a happy number.

It is a super-3 number, since 3×13221311013303 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1322131101297 and 1322131101306.

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, 9399687 + ... + 9539306.

It is an arithmetic number, because the mean of its divisors is an integer number (53692047990).

Almost surely, 21322131101330 is an apocalyptic number.

1322131101330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1322131101330 is an abundant number, since it is smaller than the sum of its proper divisors (2114159970030).

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

1322131101330 is a wasteful number, since it uses less digits than its factorization.

1322131101330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18939195.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1322131101330 its reverse (331011312231), we get a palindrome (1653142413561).

The spelling of 1322131101330 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-one million, one hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 179 195 358 390 537 895 1074 1790 2327 2685 4654 5370 6981 11635 13962 23270 34905 69810 18938993 37877986 56816979 94694965 113633958 189389930 246206909 284084895 492413818 568169790 738620727 1231034545 1477241454 2462069090 3390079747 3693103635 6780159494 7386207270 10170239241 16950398735 20340478482 33900797470 44071036711 50851196205 88142073422 101702392410 132213110133 220355183555 264426220266 440710367110 661065550665 1322131101330