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204443110100112 = 243131018447384029
BaseRepresentation
bin101110011111000010011110…
…111101000100110010010000
3222210212120101212011010021220
4232133002132331010302100
5203244043442141200422
62002451511310445040
761030345566115002
oct5637023675046220
9883776355133256
10204443110100112
115a161921915624
121ab1a53bb03780
138a0cb96bcb510
14386b15679a372
15189807b4bae5c
hexb9f09ef44c90

204443110100112 has 160 divisors (see below), whose sum is σ = 574472111431680. Its totient is φ = 62275209369600.

The previous prime is 204443110100077. The next prime is 204443110100143. The reversal of 204443110100112 is 211001011344402.

It is a happy number.

204443110100112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532171714 + ... + 532555742.

It is an arithmetic number, because the mean of its divisors is an integer number (3590450696448).

Almost surely, 2204443110100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204443110100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287236055715840).

204443110100112 is an abundant number, since it is smaller than the sum of its proper divisors (370029001331568).

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

204443110100112 is a wasteful number, since it uses less digits than its factorization.

204443110100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392601 (or 392595 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 204443110100112 its reverse (211001011344402), we get a palindrome (415444121444514).

The spelling of 204443110100112 in words is "two hundred four trillion, four hundred forty-three billion, one hundred ten million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 101 104 156 202 208 303 312 404 606 624 808 1212 1313 1616 2424 2626 3939 4848 5252 7878 8447 10504 15756 16894 21008 25341 31512 33788 50682 63024 67576 101364 109811 135152 202728 219622 329433 384029 405456 439244 658866 768058 853147 878488 1152087 1317732 1536116 1706294 1756976 2304174 2559441 2635464 3072232 3412588 4608348 4992377 5118882 5270928 6144464 6825176 9216696 9984754 10237764 11090911 13650352 14977131 18433392 19969508 20475528 22181822 29954262 33272733 38786929 39939016 40951056 44363644 59908524 66545466 77573858 79878032 88727288 116360787 119817048 133090932 155147716 177454576 232721574 239634096 266181864 310295432 465443148 504230077 532363728 620590864 930886296 1008460154 1512690231 1861772592 2016920308 3025380462 3243892963 4033840616 6050760924 6487785926 8067681232 9731678889 12101521848 12975571852 19463357778 24203043696 25951143704 38926715556 42170608519 51902287408 77853431112 84341217038 126511825557 155706862224 168682434076 253023651114 327633189263 337364868152 506047302228 655266378526 674729736304 982899567789 1012094604456 1310532757052 1965799135578 2024189208912 2621065514104 3931598271156 4259231460419 5242131028208 7863196542312 8518462920838 12777694381257 15726393084624 17036925841676 25555388762514 34073851683352 51110777525028 68147703366704 102221555050056 204443110100112