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1311012130320 = 2432512714337403
BaseRepresentation
bin10011000100111110011…
…010011000111000010000
311122022221200121122010200
4103010332122120320100
5132434423101132240
62442134243455200
7163501050145524
oct23047632307020
94568850548120
101311012130320
11465aa7195742
121920bb387500
13968216ab199
144764bcd5d84
1524180aad930
hex1313e698e10

1311012130320 has 120 divisors (see below), whose sum is σ = 4437483887616. Its totient is φ = 346850429184.

The previous prime is 1311012130291. The next prime is 1311012130327. The reversal of 1311012130320 is 230312101131.

1311012130320 is a `hidden beast` number, since 1 + 31 + 101 + 213 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1311012130293 and 1311012130302.

It is not an unprimeable number, because it can be changed into a prime (1311012130327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7077262 + ... + 7260141.

Almost surely, 21311012130320 is an apocalyptic number.

1311012130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311012130320 is an abundant number, since it is smaller than the sum of its proper divisors (3126471757296).

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

1311012130320 is a wasteful number, since it uses less digits than its factorization.

1311012130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14337549 (or 14337540 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1311012130320 its reverse (230312101131), we get a palindrome (1541324231451).

The spelling of 1311012130320 in words is "one trillion, three hundred eleven billion, twelve million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 127 144 180 240 254 360 381 508 635 720 762 1016 1143 1270 1524 1905 2032 2286 2540 3048 3810 4572 5080 5715 6096 7620 9144 10160 11430 15240 18288 22860 30480 45720 91440 14337403 28674806 43012209 57349612 71687015 86024418 114699224 129036627 143374030 172048836 215061045 229398448 258073254 286748060 344097672 430122090 516146508 573496120 645183135 688195344 860244180 1032293016 1146992240 1290366270 1720488360 1820850181 2064586032 2580732540 3440976720 3641700362 5161465080 5462550543 7283400724 9104250905 10322930160 10925101086 14566801448 16387651629 18208501810 21850202172 27312752715 29133602896 32775303258 36417003620 43700404344 54625505430 65550606516 72834007240 81938258145 87400808688 109251010860 131101213032 145668014480 163876516290 218502021720 262202426064 327753032580 437004043440 655506065160 1311012130320