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132003120031321 = 7311476711398321
BaseRepresentation
bin11110000000111001011111…
…000101000010011001011001
3122022101101010101202011002111
4132000321133011002121121
5114300214342212000241
61144425221324032321
736542624241064000
oct3600713705023131
9568341111664074
10132003120031321
1139073232a417a0
121297b1099926a1
135886ac1339026
142484db117bc37
15103da86429c81
hex780e5f142659

132003120031321 has 128 divisors (see below), whose sum is σ = 175609069977600. Its totient is φ = 98289921945600.

The previous prime is 132003120031309. The next prime is 132003120031381. The reversal of 132003120031321 is 123130021300231.

It is not a de Polignac number, because 132003120031321 - 237 = 131865681077849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132003120031292 and 132003120031301.

It is not an unprimeable number, because it can be changed into a prime (132003120031381) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1342523841 + ... + 1342622161.

It is an arithmetic number, because the mean of its divisors is an integer number (1371945859200).

Almost surely, 2132003120031321 is an apocalyptic number.

132003120031321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132003120031321 is a deficient number, since it is larger than the sum of its proper divisors (43605949946279).

132003120031321 is a wasteful number, since it uses less digits than its factorization.

132003120031321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98580 (or 98566 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 132003120031321 its reverse (123130021300231), we get a palindrome (255133141331552).

The spelling of 132003120031321 in words is "one hundred thirty-two trillion, three billion, one hundred twenty million, thirty-one thousand, three hundred twenty-one".

Divisors: 1 7 11 47 49 67 77 113 329 343 469 517 539 737 791 1243 2303 3149 3283 3619 3773 5159 5311 5537 7571 8701 16121 22043 22981 25333 34639 36113 37177 38759 52997 58421 60907 83281 98321 154301 177331 242473 252791 260239 355837 370979 408947 426349 582967 688247 1080107 1081531 1697311 1821673 2490859 2596853 2862629 3914207 4080769 4621087 4817729 6587507 7570717 11110273 11881177 17436013 20038403 27399449 28565383 32347609 33724103 46112549 50831957 52995019 72462577 77771911 122052091 122213003 191796143 226433263 309612829 322787843 355823699 370965133 507238039 522182831 544403377 744388291 855491021 1342573001 1585032841 2167289803 2259514901 2490765893 3405741119 3550666273 3655279817 3810823639 5210718037 5744011141 5988437147 8188271201 15171028621 17435361251 23840187833 24854663911 25586958719 34986249677 36475026259 40208077987 41919060029 57317898407 106197200347 166881314831 179108711033 244903747739 255325183813 281456545909 384848746447 401225288849 1168169203817 1714326234173 1970195821363 2693941225129 2808577021943 12000283639211 18857588575903 132003120031321