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31032131132020 = 225197311027101449
BaseRepresentation
bin1110000111001001110110…
…01001110001101001110100
311001212122100120111210212211
413003210323021301221310
513031412301032211040
6145555544135223204
76351666065303044
oct703447311615164
9131778316453784
1031032131132020
119984720022007
123592299b17b04
13144141846b035
14793d6acad724
1538c33c2d08ea
hex1c393b271a74

31032131132020 has 96 divisors (see below), whose sum is σ = 69544023696000. Its totient is φ = 11597288638464.

The previous prime is 31032131132017. The next prime is 31032131132029. The reversal of 31032131132020 is 2023113123013.

It is a junction number, because it is equal to n+sod(n) for n = 31032131131982 and 31032131132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31032131132029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305838256 + ... + 305939704.

It is an arithmetic number, because the mean of its divisors is an integer number (724416913500).

Almost surely, 231032131132020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31032131132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34772011848000).

31032131132020 is an abundant number, since it is smaller than the sum of its proper divisors (38511892563980).

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

31032131132020 is a wasteful number, since it uses less digits than its factorization.

31032131132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112577 (or 112575 counting only the distinct ones).

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

Adding to 31032131132020 its reverse (2023113123013), we get a palindrome (33055244255033).

The spelling of 31032131132020 in words is "thirty-one trillion, thirty-two billion, one hundred thirty-one million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 146 190 292 365 380 730 1387 1460 2774 5548 6935 11027 13870 22054 27740 44108 55135 101449 110270 202898 209513 220540 405796 419026 507245 804971 838052 1014490 1047565 1609942 1927531 2028980 2095130 3219884 3855062 4024855 4190260 7405777 7710124 8049710 9637655 14811554 15294449 16099420 19275310 29623108 30588898 37028885 38550620 61177796 74057770 76472245 140709763 148115540 152944490 281419526 305888980 562839052 703548815 1118678123 1407097630 2237356246 2814195260 4474712492 5593390615 11186781230 21254884337 22373562460 42509768674 81663502979 85019537348 106274421685 163327005958 212548843370 326654011916 408317514895 425097686740 816635029790 1551606556601 1633270059580 3103213113202 6206426226404 7758032783005 15516065566010 31032131132020