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1311321130320 = 243543346936629
BaseRepresentation
bin10011000101010000110…
…101001000010101010000
311122100202020001110110010
4103011100311020111100
5132441041202132240
62442225042434520
7163511521461255
oct23052065102520
94570666043403
101311321130320
11466145656a43
12192186962a40
139687070a616
144767ad6d42c
152419cc99280
hex13150d48550

1311321130320 has 160 divisors (see below), whose sum is σ = 4160945289600. Its totient is φ = 341445629952.

The previous prime is 1311321130291. The next prime is 1311321130367. The reversal of 1311321130320 is 230311231131.

It is a happy number.

It is a congruent number.

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, 35781766 + ... + 35818394.

It is an arithmetic number, because the mean of its divisors is an integer number (26005908060).

Almost surely, 21311321130320 is an apocalyptic number.

1311321130320 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 1311321130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080472644800).

1311321130320 is an abundant number, since it is smaller than the sum of its proper divisors (2849624159280).

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

1311321130320 is a wasteful number, since it uses less digits than its factorization.

1311321130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40157 (or 40151 counting only the distinct ones).

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

Adding to 1311321130320 its reverse (230311231131), we get a palindrome (1541632361451).

The spelling of 1311321130320 in words is "one trillion, three hundred eleven billion, three hundred twenty-one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 3469 5160 6938 10320 10407 13876 17345 20814 27752 34690 36629 41628 52035 55504 69380 73258 83256 104070 109887 138760 146516 149167 166512 183145 208140 219774 277520 293032 298334 366290 416280 439548 447501 549435 586064 596668 732580 745835 832560 879096 895002 1098870 1193336 1465160 1491670 1575047 1758192 1790004 2197740 2237505 2386672 2930320 2983340 3150094 3580008 4395480 4475010 4725141 5966680 6300188 7160016 7875235 8790960 8950020 9450282 11933360 12600376 15750470 17900040 18900564 23625705 25200752 31500940 35800080 37801128 47251410 63001880 75602256 94502820 126003760 127066001 189005640 254132002 378011280 381198003 508264004 635330005 762396006 1016528008 1270660010 1524792012 1905990015 2033056016 2541320020 3049584024 3811980030 5082640040 5463838043 6099168048 7623960060 10165280080 10927676086 15247920120 16391514129 21855352172 27319190215 30495840240 32783028258 43710704344 54638380430 65566056516 81957570645 87421408688 109276760860 131132113032 163915141290 218553521720 262264226064 327830282580 437107043440 655660565160 1311321130320