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13231230120 = 233455697177
BaseRepresentation
bin11000101001010010…
…01000110010101000
31021011002220010120000
430110221020302220
5204044143330440
610024531103000
7645611412633
oct142451106250
937132803500
1013231230120
11567a759029
122693141a60
13132b271b64
148d735ac1a
155268c9730
hex314a48ca8

13231230120 has 160 divisors (see below), whose sum is σ = 44555999400. Its totient is φ = 3521636352.

The previous prime is 13231230119. The next prime is 13231230137. The reversal of 13231230120 is 2103213231.

13231230120 is a `hidden beast` number, since 1 + 32 + 312 + 301 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11366544996 + 1864685124 = 106614^2 + 43182^2 .

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 = 13231230093 and 13231230102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1839972 + ... + 1847148.

Almost surely, 213231230120 is an apocalyptic number.

13231230120 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 13231230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22277999700).

13231230120 is an abundant number, since it is smaller than the sum of its proper divisors (31324769280).

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

13231230120 is a wasteful number, since it uses less digits than its factorization.

13231230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7769 (or 7756 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13231230120 its reverse (2103213231), we get a palindrome (15334443351).

The spelling of 13231230120 in words is "thirteen billion, two hundred thirty-one million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 569 648 810 1080 1138 1620 1707 2276 2845 3240 3414 4552 5121 5690 6828 7177 8535 10242 11380 13656 14354 15363 17070 20484 21531 22760 25605 28708 30726 34140 35885 40968 43062 46089 51210 57416 61452 64593 68280 71770 76815 86124 92178 102420 107655 122904 129186 143540 153630 172248 184356 193779 204840 215310 230445 258372 287080 307260 322965 368712 387558 430620 460890 516744 581337 614520 645930 775116 861240 921780 968895 1162674 1291860 1550232 1843560 1937790 2325348 2583720 2906685 3875580 4083713 4650696 5813370 7751160 8167426 11626740 12251139 16334852 20418565 23253480 24502278 32669704 36753417 40837130 49004556 61255695 73506834 81674260 98009112 110260251 122511390 147013668 163348520 183767085 220520502 245022780 294027336 330780753 367534170 441041004 490045560 551301255 661561506 735068340 882082008 1102602510 1323123012 1470136680 1653903765 2205205020 2646246024 3307807530 4410410040 6615615060 13231230120