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200011401130320 = 243251321368739437
BaseRepresentation
bin101101011110100011001000…
…100000111111000101010000
3222020011220101102212111011100
4231132203020200333011100
5202203441322142132240
61545215545203144400
760062226655320513
oct5536431040770520
9866156342774140
10200011401130320
11588033a47192aa
121a523671675100
13877acc0332440
143756863cb0d7a
15181cb4ee66e30
hexb5e8c883f150

200011401130320 has 120 divisors (see below), whose sum is σ = 723374567455176. Its totient is φ = 49233575660544.

The previous prime is 200011401130301. The next prime is 200011401130349. The reversal of 200011401130320 is 23031104110002.

200011401130320 is a `hidden beast` number, since 200 + 0 + 1 + 1 + 401 + 1 + 30 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8069440136976 + 191941960993344 = 2840676^2 + 13854312^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2000114011303202 (a number of 29 digits) contains 22 as substring.

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 = 200011401130293 and 200011401130302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10684360359 + ... + 10684379078.

Almost surely, 2200011401130320 is an apocalyptic number.

200011401130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200011401130320 is an abundant number, since it is smaller than the sum of its proper divisors (523363166324856).

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

200011401130320 is a wasteful number, since it uses less digits than its factorization.

200011401130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21368739469 (or 21368739460 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200011401130320 its reverse (23031104110002), we get a palindrome (223042505240322).

The spelling of 200011401130320 in words is "two hundred trillion, eleven billion, four hundred one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 21368739437 42737478874 64106218311 85474957748 106843697185 128212436622 170949915496 192318654933 213687394370 256424873244 277793612681 320531091555 341899830992 384637309866 427374788740 512849746488 555587225362 641062183110 769274619732 833380838043 854749577480 961593274665 1025699492976 1111174450724 1282124366220 1388968063405 1538549239464 1666761676086 1709499154960 1923186549330 2222348901448 2500142514129 2564248732440 2777936126810 3077098478928 3333523352172 3846373098660 4166904190215 4444697802896 5000285028258 5128497464880 5555872253620 6667046704344 7692746197320 8333808380430 10000570056516 11111744507240 12500712570645 13334093408688 15385492394640 16667616760860 20001140113032 22223489014480 25001425141290 33335233521720 40002280226064 50002850282580 66670467043440 100005700565160 200011401130320