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1320114012340 = 2251941385321991
BaseRepresentation
bin10011001101011100111…
…011010100000010110100
311200012110000102011000011
4103031130323110002310
5133112043141343330
62450241344430004
7164242440650644
oct23153473240264
94605400364004
101320114012340
11469947a43392
12193a1b618304
13976422b07a6
1447c72a6c524
1524514bb282a
hex1335ced40b4

1320114012340 has 96 divisors (see below), whose sum is σ = 2990232887040. Its totient is φ = 487903564800.

The previous prime is 1320114012323. The next prime is 1320114012379. The reversal of 1320114012340 is 432104110231.

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, 60018745 + ... + 60040735.

It is an arithmetic number, because the mean of its divisors is an integer number (31148259240).

Almost surely, 21320114012340 is an apocalyptic number.

1320114012340 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 1320114012340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495116443520).

1320114012340 is an abundant number, since it is smaller than the sum of its proper divisors (1670118874700).

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

1320114012340 is a wasteful number, since it uses less digits than its factorization.

1320114012340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25913 (or 25911 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1320114012340 its reverse (432104110231), we get a palindrome (1752218122571).

The spelling of 1320114012340 in words is "one trillion, three hundred twenty billion, one hundred fourteen million, twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 779 820 1558 3116 3853 3895 7706 7790 15412 15580 19265 21991 38530 43982 73207 77060 87964 109955 146414 157973 219910 292828 315946 366035 417829 439820 631892 732070 789865 835658 901631 1464140 1579730 1671316 1803262 2089145 3001487 3159460 3606524 4178290 4508155 6002974 8356580 9016310 12005948 15007435 17130989 18032620 30014870 34261978 60029740 68523956 84731323 85654945 169462646 171309890 338925292 342619780 423656615 847313230 1609895137 1694626460 3219790274 3473984243 6439580548 6947968486 8049475685 13895936972 16098951370 17369921215 32197902740 34739842430 66005700617 69479684860 132011401234 264022802468 330028503085 660057006170 1320114012340