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13110033112020 = 223251344571257029
BaseRepresentation
bin1011111011000110101011…
…0111011101101111010100
31201102022021202012202210200
42332301222313131233110
53204243321434041040
643514355512020500
72522111561541345
oct276615267355724
951368252182720
1013110033112020
1141a4a2aa06409
12157898b691730
13741369ca9920
143347597880cc
1517b04e620630
hexbec6adddbd4

13110033112020 has 144 divisors (see below), whose sum is σ = 42835750972560. Its totient is φ = 3226358458368.

The previous prime is 13110033111977. The next prime is 13110033112037. The reversal of 13110033112020 is 2021133001131.

13110033112020 is a `hidden beast` number, since 1 + 31 + 100 + 331 + 1 + 202 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1016414814276 + 12093618297744 = 1008174^2 + 3477588^2 .

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 = 13110033111984 and 13110033112002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9800866 + ... + 11057894.

It is an arithmetic number, because the mean of its divisors is an integer number (297470492865).

Almost surely, 213110033112020 is an apocalyptic number.

13110033112020 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 13110033112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21417875486280).

13110033112020 is an abundant number, since it is smaller than the sum of its proper divisors (29725717860540).

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

13110033112020 is a wasteful number, since it uses less digits than its factorization.

13110033112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261514 (or 1261509 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13110033112020 its reverse (2021133001131), we get a palindrome (15131166113151).

The spelling of 13110033112020 in words is "thirteen trillion, one hundred ten billion, thirty-three million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4457 8914 13371 17828 22285 26742 40113 44570 53484 57941 66855 80226 89140 115882 133710 160452 173823 200565 231764 267420 289705 347646 401130 521469 579410 695292 802260 869115 1042938 1158820 1257029 1738230 2085876 2514058 2607345 3476460 3771087 5028116 5214690 6285145 7542174 10429380 11313261 12570290 15084348 16341377 18855435 22626522 25140580 32682754 37710870 45253044 49024131 56566305 65365508 75421740 81706885 98048262 113132610 147072393 163413770 196096524 226265220 245120655 294144786 326827540 490241310 588289572 735361965 980482620 1470723930 2941447860 5602578253 11205156506 16807734759 22410313012 28012891265 33615469518 50423204277 56025782530 67230939036 72833517289 84038673795 100846408554 112051565060 145667034578 168077347590 201692817108 218500551867 252116021385 291334069156 336154695180 364167586445 437001103734 504232042770 655501655601 728335172890 874002207468 1008464085540 1092502759335 1311003311202 1456670345780 2185005518670 2622006622404 3277508278005 4370011037340 6555016556010 13110033112020