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203011321355040 = 25351138449113893
BaseRepresentation
bin101110001010001101000001…
…101100011101101100100000
3222121210200201001000202111110
4232022031001230131230200
5203102114141231330130
61555434040304543320
760522040536435612
oct5612150154355440
9877720631022443
10203011321355040
115975a6884576a0
121a928b54921b40
138937b68480323
14381bb2c35cdb2
151870bcc69dab0
hexb8a341b1db20

203011321355040 has 96 divisors (see below), whose sum is σ = 697620722492736. Its totient is φ = 49214865781760.

The previous prime is 203011321354993. The next prime is 203011321355081. The reversal of 203011321355040 is 40553123110302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 203011321354989 and 203011321355007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19224551667 + ... + 19224562226.

It is an arithmetic number, because the mean of its divisors is an integer number (7266882525966).

Almost surely, 2203011321355040 is an apocalyptic number.

203011321355040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203011321355040 is an abundant number, since it is smaller than the sum of its proper divisors (494609401137696).

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

203011321355040 is a wasteful number, since it uses less digits than its factorization.

203011321355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38449113922 (or 38449113914 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 203011321355040 its reverse (40553123110302), we get a palindrome (243564444465342).

The spelling of 203011321355040 in words is "two hundred three trillion, eleven billion, three hundred twenty-one million, three hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 38449113893 76898227786 115347341679 153796455572 192245569465 230694683358 307592911144 384491138930 422940252823 461389366716 576736708395 615185822288 768982277860 845880505646 922778733432 1153473416790 1230371644576 1268820758469 1537964555720 1691761011292 1845557466864 2114701264115 2306946833580 2537641516938 3075929111440 3383522022584 3691114933728 4229402528230 4613893667160 5075283033876 6151858222880 6344103792345 6767044045168 8458805056460 9227787334320 10150566067752 12688207584690 13534088090336 16917610112920 18455574668640 20301132135504 25376415169380 33835220225840 40602264271008 50752830338760 67670440451680 101505660677520 203011321355040