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131332003202200 = 235213735933133391
BaseRepresentation
bin11101110111001000011101…
…011001100000010010011000
3122020000012212010000212012011
4131313020131121200102120
5114203220420304432300
61143153031145155304
736443265320131513
oct3567103531402230
9566005763025164
10131332003202200
1138934653a97959
121289103218bb34
135838729a70458
142460707c41d7a
15102b3a7dddeba
hex77721d660498

131332003202200 has 96 divisors (see below), whose sum is σ = 307586582573760. Its totient is φ = 52147507942400.

The previous prime is 131332003202189. The next prime is 131332003202201. The reversal of 131332003202200 is 2202300233131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131332003202201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 984497505 + ... + 984630895.

It is an arithmetic number, because the mean of its divisors is an integer number (3204026901810).

Almost surely, 2131332003202200 is an apocalyptic number.

131332003202200 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 131332003202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153793291286880).

131332003202200 is an abundant number, since it is smaller than the sum of its proper divisors (176254579371560).

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

131332003202200 is a wasteful number, since it uses less digits than its factorization.

131332003202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169477 (or 169468 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 131332003202200 its reverse (2202300233131), we get a palindrome (133534303435331).

The spelling of 131332003202200 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, three million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 274 548 685 1096 1370 2740 3425 5480 6850 13700 27400 35933 71866 133391 143732 179665 266782 287464 359330 533564 666955 718660 898325 1067128 1333910 1437320 1796650 2667820 3334775 3593300 4922821 5335640 6669550 7186600 9845642 13339100 18274567 19691284 24614105 26678200 36549134 39382568 49228210 73098268 91372835 98456420 123070525 146196536 182745670 196912840 246141050 365491340 456864175 492282100 730982680 913728350 984564200 1827456700 3654913400 4793138803 9586277606 19172555212 23965694015 38345110424 47931388030 95862776060 119828470075 191725552120 239656940150 479313880300 656660016011 958627760600 1313320032022 2626640064044 3283300080055 5253280128088 6566600160110 13133200320220 16416500400275 26266400640440 32833000800550 65666001601100 131332003202200