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13430331120 = 2435235714261
BaseRepresentation
bin11001000001000001…
…01001011011110000
31021122222112111210010
430200200221123300
5210001131043440
610100402334520
7653546634213
oct144040513360
937588474703
1013430331120
115772087608
12272995a440
1313605a2bbb
1491598777a
15539107580
hex3208296f0

13430331120 has 160 divisors (see below), whose sum is σ = 43530499584. Its totient is φ = 3418905600.

The previous prime is 13430331107. The next prime is 13430331137. The reversal of 13430331120 is 2113303431.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3149790 + ... + 3154050.

Almost surely, 213430331120 is an apocalyptic number.

13430331120 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 13430331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21765249792).

13430331120 is an abundant number, since it is smaller than the sum of its proper divisors (30100168464).

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

13430331120 is a wasteful number, since it uses less digits than its factorization.

13430331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4871 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13430331120 its reverse (2113303431), we get a palindrome (15543634551).

The spelling of 13430331120 in words is "thirteen billion, four hundred thirty million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 571 690 920 1104 1142 1380 1713 1840 2284 2760 2855 3426 4261 4568 5520 5710 6852 8522 8565 9136 11420 12783 13133 13704 17044 17130 21305 22840 25566 26266 27408 34088 34260 39399 42610 45680 51132 52532 63915 65665 68176 68520 78798 85220 98003 102264 105064 127830 131330 137040 157596 170440 196006 196995 204528 210128 255660 262660 294009 315192 340880 392012 393990 490015 511320 525320 588018 630384 784024 787980 980030 1022640 1050640 1176036 1470045 1568048 1575960 1960060 2352072 2433031 2940090 3151920 3920120 4704144 4866062 5880180 7299093 7840240 9732124 11760360 12165155 14598186 19464248 23520720 24330310 29196372 36495465 38928496 48660620 55959713 58392744 72990930 97321240 111919426 116785488 145981860 167879139 194642480 223838852 279798565 291963720 335758278 447677704 559597130 583927440 671516556 839395695 895355408 1119194260 1343033112 1678791390 2238388520 2686066224 3357582780 4476777040 6715165560 13430331120