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13323013120 = 21052324919
BaseRepresentation
bin11000110100001110…
…10000110000000000
31021101111121012011101
430122013100300000
5204241142404440
610042010224144
7651104512564
oct143207206000
937344535141
1013323013120
115717547a4a
1226b9a25054
131344299521
1490560d6a4
1552e9a969a
hex31a1d0c00

13323013120 has 132 divisors (see below), whose sum is σ = 33416374320. Its totient is φ = 5096464384.

The previous prime is 13323013103. The next prime is 13323013157. The reversal of 13323013120 is 2131032331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2706021 + ... + 2710939.

Almost surely, 213323013120 is an apocalyptic number.

13323013120 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 13323013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16708187160).

13323013120 is an abundant number, since it is smaller than the sum of its proper divisors (20093361200).

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

13323013120 is an equidigital number, since it uses as much as digits as its factorization.

13323013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13323013120 its reverse (2131032331), we get a palindrome (15454045451).

The spelling of 13323013120 in words is "thirteen billion, three hundred twenty-three million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 529 640 736 920 1024 1058 1280 1472 1840 2116 2560 2645 2944 3680 4232 4919 5120 5290 5888 7360 8464 9838 10580 11776 14720 16928 19676 21160 23552 24595 29440 33856 39352 42320 49190 58880 67712 78704 84640 98380 113137 117760 135424 157408 169280 196760 226274 270848 314816 338560 393520 452548 541696 565685 629632 677120 787040 905096 1131370 1259264 1354240 1574080 1810192 2262740 2518528 2602151 2708480 3148160 3620384 4525480 5037056 5204302 6296320 7240768 9050960 10408604 12592640 13010755 14481536 18101920 20817208 25185280 26021510 28963072 36203840 41634416 52043020 57926144 72407680 83268832 104086040 115852288 144815360 166537664 208172080 289630720 333075328 416344160 579261440 666150656 832688320 1332301312 1665376640 2664602624 3330753280 6661506560 13323013120