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13110033020220 = 22325353967921317
BaseRepresentation
bin1011111011000110101011…
…0111000111010100111100
31201102022021202001002212200
42332301222313013110330
53204243321423121340
643514355510031500
72522111561006613
oct276615267072474
951368252032780
1013110033020220
1141a4a2a953444
12157898b648590
13741369c76bc6
1433475976287a
1517b04e603330
hexbec6adc753c

13110033020220 has 144 divisors (see below), whose sum is σ = 39885746060160. Its totient is φ = 3485581406208.

The previous prime is 13110033020207. The next prime is 13110033020239. The reversal of 13110033020220 is 2202033001131.

13110033020220 is a `hidden beast` number, since 1 + 3 + 110 + 0 + 330 + 2 + 0 + 220 = 666.

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 = 13110033020193 and 13110033020202.

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, 614993002 + ... + 615014318.

It is an arithmetic number, because the mean of its divisors is an integer number (276984347640).

Almost surely, 213110033020220 is an apocalyptic number.

13110033020220 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 13110033020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19942873030080).

13110033020220 is an abundant number, since it is smaller than the sum of its proper divisors (26775713039940).

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

13110033020220 is a wasteful number, since it uses less digits than its factorization.

13110033020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31364 (or 31359 counting only the distinct ones).

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

Adding to 13110033020220 its reverse (2202033001131), we get a palindrome (15312066021351).

The spelling of 13110033020220 in words is "thirteen trillion, one hundred ten billion, thirty-three million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 706 1059 1412 1765 2118 3177 3530 4236 5295 6354 7060 9679 10590 12708 15885 19358 21180 21317 29037 31770 38716 42634 48395 58074 63540 63951 85268 87111 96790 106585 116148 127902 145185 174222 191853 193580 213170 255804 290370 319755 348444 383706 426340 435555 580740 639510 767412 871110 959265 1279020 1742220 1918530 3416687 3837060 6833374 7524901 10250061 13666748 15049802 17083435 20500122 22574703 30099604 30750183 34166870 37624505 41000244 45149406 51250305 61500366 67724109 68333740 75249010 90298812 102500610 112873515 123000732 135448218 150498020 153750915 205001220 206327243 225747030 270896436 307501830 338620545 412654486 451494060 615003660 618981729 677241090 825308972 1031636215 1237963458 1354482180 1856945187 2063272430 2475926916 3094908645 3713890374 4126544860 6189817290 7427780748 9284725935 12379634580 18569451870 37138903740 72833516779 145667033558 218500550337 291334067116 364167583895 437001100674 655501651011 728335167790 874002201348 1092502751685 1311003302022 1456670335580 2185005503370 2622006604044 3277508255055 4370011006740 6555016510110 13110033020220