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13320234412020 = 2234537222226133
BaseRepresentation
bin1100000111010101101111…
…0101110010011111110100
31202011101212001001012010000
43001311123311302133310
53221214320002141040
644155121535231300
72543232553240644
oct301653365623764
952141761035100
1013320234412020
114276097082258
1215b1673678530
13758128907193
143409ba62c524
15181753467130
hexc1d5bd727f4

13320234412020 has 120 divisors (see below), whose sum is σ = 42915422093544. Its totient is φ = 3456060804864.

The previous prime is 13320234412003. The next prime is 13320234412039. The reversal of 13320234412020 is 2021443202331.

13320234412020 is a `hidden beast` number, since 13 + 3 + 2 + 0 + 2 + 3 + 441 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5959789447824 + 7360444964196 = 2441268^2 + 2713014^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111053127 + ... + 111173006.

Almost surely, 213320234412020 is an apocalyptic number.

13320234412020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13320234412020 is an abundant number, since it is smaller than the sum of its proper divisors (29595187681524).

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

13320234412020 is a wasteful number, since it uses less digits than its factorization.

13320234412020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222226191 (or 222226180 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13320234412020 its reverse (2021443202331), we get a palindrome (15341677614351).

The spelling of 13320234412020 in words is "thirteen trillion, three hundred twenty billion, two hundred thirty-four million, four hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 270 324 333 370 405 444 540 555 666 740 810 999 1110 1332 1620 1665 1998 2220 2997 3330 3996 4995 5994 6660 9990 11988 14985 19980 29970 59940 222226133 444452266 666678399 888904532 1111130665 1333356798 2000035197 2222261330 2666713596 3333391995 4000070394 4444522660 6000105591 6666783990 8000140788 8222366921 10000175985 12000211182 13333567980 16444733842 18000316773 20000351970 24000422364 24667100763 30000527955 32889467684 36000633546 40000703940 41111834605 49334201526 60001055910 72001267092 74001302289 82223669210 90001583865 98668403052 120002111820 123335503815 148002604578 164447338420 180003167730 222003906867 246671007630 296005209156 360006335460 370006511445 444007813734 493342015260 666011720601 740013022890 888015627468 1110019534335 1332023441202 1480026045780 2220039068670 2664046882404 3330058603005 4440078137340 6660117206010 13320234412020