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131313211130200 = 23521162719518071
BaseRepresentation
bin11101110110110110111101…
…010011011100000101011000
3122012221102100110102200122111
4131312312331103130011120
5114202413424022131300
61143140242330002104
736442031533142551
oct3566667523340530
9565842313380574
10131313211130200
113892769039a040
1212889468876334
135836a23704718
14245d844151328
15102ab582279ba
hex776dbd4dc158

131313211130200 has 96 divisors (see below), whose sum is σ = 333111199518720. Its totient is φ = 47742639120000.

The previous prime is 131313211130131. The next prime is 131313211130273. The reversal of 131313211130200 is 2031112313131.

It is a super-2 number, since 2×1313132111302002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 9037165 + ... + 18555235.

It is an arithmetic number, because the mean of its divisors is an integer number (3469908328320).

Almost surely, 2131313211130200 is an apocalyptic number.

131313211130200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131313211130200 is an abundant number, since it is smaller than the sum of its proper divisors (201797988388520).

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

131313211130200 is a wasteful number, since it uses less digits than its factorization.

131313211130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9524369 (or 9524360 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 131313211130200 its reverse (2031112313131), we get a palindrome (133344323443331).

The spelling of 131313211130200 in words is "one hundred thirty-one trillion, three hundred thirteen billion, two hundred eleven million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 6271 12542 25084 31355 50168 62710 68981 125420 137962 156775 250840 275924 313550 344905 551848 627100 689810 1254200 1379620 1724525 2759240 3449050 6898100 9518071 13796200 19036142 38072284 47590355 76144568 95180710 104698781 190361420 209397562 237951775 380722840 418795124 475903550 523493905 837590248 951807100 1046987810 1903614200 2093975620 2617469525 4187951240 5234939050 10469878100 20939756200 59687823241 119375646482 238751292964 298439116205 477502585928 596878232410 656566055651 1193756464820 1313132111302 1492195581025 2387512929640 2626264222604 2984391162050 3282830278255 5252528445208 5968782324100 6565660556510 11937564648200 13131321113020 16414151391275 26262642226040 32828302782550 65656605565100 131313211130200