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101320203303132 = 2231137537841663
BaseRepresentation
bin10111000010011001110010…
…101110011111100011011100
3111021202010011011202010020020
4113002121302232133203130
5101240012234021200012
6555253505301152140
730225100043103222
oct2702316256374334
9437663134663206
10101320203303132
112a313725397000
12b44464b0bb650
13446c5b9a8a908
141b03cd1684b12
15baa88721da8c
hex5c2672b9f8dc

101320203303132 has 96 divisors (see below), whose sum is σ = 260072236806144. Its totient is φ = 30698981786880.

The previous prime is 101320203303113. The next prime is 101320203303139. The reversal of 101320203303132 is 231303302023101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101320203303139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119960133 + ... + 120801795.

It is an arithmetic number, because the mean of its divisors is an integer number (2709085800064).

Almost surely, 2101320203303132 is an apocalyptic number.

101320203303132 is a gapful number since it is divisible by the number (12) 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 101320203303132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130036118403072).

101320203303132 is an abundant number, since it is smaller than the sum of its proper divisors (158752033503012).

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

101320203303132 is a wasteful number, since it uses less digits than its factorization.

101320203303132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849240 (or 849216 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 101320203303132 its reverse (231303302023101), we get a palindrome (332623505326233).

The spelling of 101320203303132 in words is "one hundred one trillion, three hundred twenty billion, two hundred three million, three hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1331 1452 2662 3993 5324 7537 7986 15074 15972 22611 30148 45222 82907 90444 165814 248721 331628 497442 841663 911977 994884 1683326 1823954 2524989 2735931 3366652 3647908 5049978 5471862 9258293 10031747 10099956 10943724 18516586 20063494 27774879 30095241 37033172 40126988 55549758 60190482 101841223 111099516 120380964 203682446 305523669 407364892 611047338 1120253453 1222094676 2240506906 3360760359 4481013812 6343614031 6721520718 12687228062 13443041436 19030842093 25374456124 38061684186 69779754341 76123368372 139559508682 209339263023 279119017364 418678526046 767577297751 837357052092 1535154595502 2302731893253 3070309191004 4605463786506 8443350275261 9210927573012 16886700550522 25330050825783 33773401101044 50660101651566 101320203303132