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131012030112 = 2537379236641
BaseRepresentation
bin111101000000011101…
…1001110111010100000
3110112011110020200221120
41322000323032322200
54121303034430422
6140104110252240
712315412611315
oct1720073167240
9415143220846
10131012030112
115061a96a357
12214837b7080
13c47b764612
1464aba68d0c
15361bb1e45c
hex1e80eceea0

131012030112 has 96 divisors (see below), whose sum is σ = 353032001280. Its totient is φ = 42527047680.

The previous prime is 131012030111. The next prime is 131012030147. The reversal of 131012030112 is 211030210131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 131012030091 and 131012030100.

It is not an unprimeable number, because it can be changed into a prime (131012030111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435312 + ... + 671952.

It is an arithmetic number, because the mean of its divisors is an integer number (3677416680).

Almost surely, 2131012030112 is an apocalyptic number.

131012030112 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 131012030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176516000640).

131012030112 is an abundant number, since it is smaller than the sum of its proper divisors (222019971168).

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

131012030112 is a wasteful number, since it uses less digits than its factorization.

131012030112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236806 (or 236798 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131012030112 its reverse (211030210131), we get a palindrome (342042240243).

The spelling of 131012030112 in words is "one hundred thirty-one billion, twelve million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 79 96 146 158 219 237 292 316 438 474 584 632 876 948 1168 1264 1752 1896 2336 2528 3504 3792 5767 7008 7584 11534 17301 23068 34602 46136 69204 92272 138408 184544 236641 276816 473282 553632 709923 946564 1419846 1893128 2839692 3786256 5679384 7572512 11358768 17274793 18694639 22717536 34549586 37389278 51824379 56083917 69099172 74778556 103648758 112167834 138198344 149557112 207297516 224335668 276396688 299114224 414595032 448671336 552793376 598228448 829190064 897342672 1364708647 1658380128 1794685344 2729417294 4094125941 5458834588 8188251882 10917669176 16376503764 21835338352 32753007528 43670676704 65506015056 131012030112