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11332101313302 = 2371131399144899
BaseRepresentation
bin1010010011100111010111…
…0111111001001100010110
31111010100010121212101101020
42210321311313321030112
52441131120414011202
640033521231142010
72246501014601460
oct244716567711426
944110117771336
1011332101313302
113679a0a845000
1213302a1974906
136427c6a755b3
142b2695c31130
15149b921b85bc
hexa4e75df9316

11332101313302 has 128 divisors (see below), whose sum is σ = 28510755840000. Its totient is φ = 2941278706080.

The previous prime is 11332101313301. The next prime is 11332101313333. The reversal of 11332101313302 is 20331310123311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332101313301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78134449 + ... + 78279347.

It is an arithmetic number, because the mean of its divisors is an integer number (222740280000).

Almost surely, 211332101313302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11332101313302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14255377920000).

11332101313302 is an abundant number, since it is smaller than the sum of its proper divisors (17178654526698).

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

11332101313302 is a wasteful number, since it uses less digits than its factorization.

11332101313302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146343 (or 146321 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11332101313302 its reverse (20331310123311), we get a palindrome (31663411436613).

The spelling of 11332101313302 in words is "eleven trillion, three hundred thirty-two billion, one hundred one million, three hundred thirteen thousand, three hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1331 1399 1694 2541 2662 2798 3993 4197 5082 7986 8394 9317 9793 15389 18634 19586 27951 29379 30778 46167 55902 58758 92334 107723 144899 169279 215446 289798 323169 338558 434697 507837 646338 869394 1014293 1015674 1184953 1593889 1862069 2028586 2369906 3042879 3187778 3554859 3724138 4781667 5586207 6085758 7109718 9563334 11157223 11172414 13034483 17532779 22314446 26068966 33471669 35065558 39103449 52598337 66943338 78206898 105196674 122729453 192860569 202713701 245458906 368188359 385721138 405427402 578581707 608141103 736376718 1157163414 1216282206 1350023983 1418995907 2229850711 2700047966 2837991814 4050071949 4256987721 4459701422 6689552133 8100143898 8513975442 13379104266 15608954977 24528357821 31217909954 46826864931 49056715642 73585073463 93653729862 147170146926 171698504747 269811936031 343397009494 515095514241 539623872062 809435808093 1030191028482 1618871616186 1888683552217 3777367104434 5666050656651 11332101313302