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1312312330120 = 2351161712973727
BaseRepresentation
bin10011000110001011111…
…010010000011110001000
311122110022022011121221211
4103012023322100132020
5133000103424030440
62442511251342504
7163545215520511
oct23061372203610
94573268147854
101312312330120
1146660410a030
121924028b1a34
139699ab8608c
1447732869a08
1524209cdceea
hex1318be90788

1312312330120 has 128 divisors (see below), whose sum is σ = 3229704783360. Its totient is φ = 475935989760.

The previous prime is 1312312330103. The next prime is 1312312330123. The reversal of 1312312330120 is 210332132131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1312312330091 and 1312312330100.

It is not an unprimeable number, because it can be changed into a prime (1312312330123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352107697 + ... + 352111423.

It is an arithmetic number, because the mean of its divisors is an integer number (25232068620).

Almost surely, 21312312330120 is an apocalyptic number.

1312312330120 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 1312312330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614852391680).

1312312330120 is an abundant number, since it is smaller than the sum of its proper divisors (1917392453240).

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

1312312330120 is a wasteful number, since it uses less digits than its factorization.

1312312330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5663 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1312312330120 its reverse (210332132131), we get a palindrome (1522644462251).

The spelling of 1312312330120 in words is "one trillion, three hundred twelve billion, three hundred twelve million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 617 1234 1297 2468 2594 3085 3727 4936 5188 6170 6485 6787 7454 10376 12340 12970 13574 14267 14908 18635 24680 25940 27148 28534 29816 33935 37270 40997 51880 54296 57068 67870 71335 74540 81994 114136 135740 142670 149080 163988 204985 271480 285340 327976 409970 570680 800249 819940 1600498 1639880 2299559 3200996 4001245 4599118 4833919 6401992 8002490 8802739 9198236 9667838 11497795 16004980 17605478 18396472 19335676 22995590 24169595 25295149 32009960 35210956 38671352 44013695 45991180 48339190 50590298 53173109 70421912 88027390 91982360 96678380 101180596 106346218 126475745 176054780 193356760 202361192 212692436 252951490 265865545 352109560 425384872 505902980 531731090 1011805960 1063462180 2126924360 2982528023 5965056046 11930112092 14912640115 23860224184 29825280230 32807808253 59650560460 65615616506 119301120920 131231233012 164039041265 262462466024 328078082530 656156165060 1312312330120