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1331322323320 = 2351161167297019
BaseRepresentation
bin10011010111111000111…
…111101000000101111000
311201021101010211100012001
4103113320333220011320
5133303022003321240
62455333453430344
7165120260014303
oct23277077500570
94637333740161
101331322323320
11473679820310
1219602919b3b4
139870a412272
1448617485b3a
152496db9d89a
hex135f8fe8178

1331322323320 has 128 divisors (see below), whose sum is σ = 3341261145600. Its totient is φ = 473327884800.

The previous prime is 1331322323311. The next prime is 1331322323323. The reversal of 1331322323320 is 233232231331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331322323323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4333771 + ... + 4630789.

It is an arithmetic number, because the mean of its divisors is an integer number (26103602700).

Almost surely, 21331322323320 is an apocalyptic number.

1331322323320 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 1331322323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670630572800).

1331322323320 is an abundant number, since it is smaller than the sum of its proper divisors (2009938822280).

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

1331322323320 is a wasteful number, since it uses less digits than its factorization.

1331322323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297269 (or 297265 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 1331322323320 its reverse (233232231331), we get a palindrome (1564554554651).

The spelling of 1331322323320 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-two million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 167 220 244 305 334 440 488 610 668 671 835 1220 1336 1342 1670 1837 2440 2684 3340 3355 3674 5368 6680 6710 7348 9185 10187 13420 14696 18370 20374 26840 36740 40748 50935 73480 81496 101870 112057 203740 224114 297019 407480 448228 560285 594038 896456 1120570 1188076 1485095 2241140 2376152 2970190 3267209 4482280 5940380 6534418 11880760 13068836 16336045 18118159 26137672 32672090 36236318 49602173 65344180 72472636 90590795 99204346 130688360 144945272 181181590 198408692 199299749 248010865 362363180 396817384 398599498 496021730 545623903 724726360 797198996 992043460 996498745 1091247806 1594397992 1984086920 1992997490 2182495612 2728119515 3025732553 3985994980 4364991224 5456239030 6051465106 7971989960 10912478060 12102930212 15128662765 21824956120 24205860424 30257325530 33283058083 60514651060 66566116166 121029302120 133132232332 166415290415 266264464664 332830580830 665661161660 1331322323320