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1031301000132 = 22313127451911519
BaseRepresentation
bin11110000000111100101…
…01000110101111000100
310122120222010202222112020
433000132111012233010
5113344101024001012
62105434555323140
7134336412602124
oct17003625065704
93576863688466
101031301000132
1136841058a647
12147a587504b0
1376336058bb0
1437cb5592c84
151bc5e6cba8c
hexf01e546bc4

1031301000132 has 96 divisors (see below), whose sum is σ = 2612684390400. Its totient is φ = 314727783552.

The previous prime is 1031301000113. The next prime is 1031301000167. The reversal of 1031301000132 is 2310001031301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89524669 + ... + 89536187.

It is an arithmetic number, because the mean of its divisors is an integer number (27215462400).

Almost surely, 21031301000132 is an apocalyptic number.

1031301000132 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 1031301000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306342195200).

1031301000132 is an abundant number, since it is smaller than the sum of its proper divisors (1581383390268).

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

1031301000132 is a wasteful number, since it uses less digits than its factorization.

1031301000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16185 (or 16183 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1031301000132 its reverse (2310001031301), we get a palindrome (3341302031433).

The spelling of 1031301000132 in words is "one trillion, thirty-one billion, three hundred one million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 254 381 508 762 1524 1651 3302 4519 4953 6604 9038 9906 11519 13557 18076 19812 23038 27114 34557 46076 54228 58747 69114 117494 138228 149747 176241 234988 299494 352482 449241 573913 598988 704964 898482 1147826 1462913 1721739 1796964 2295652 2925826 3443478 4388739 5851652 6886956 7460869 8777478 14921738 17554956 19017869 22382607 29843476 38035738 44765214 52054361 57053607 76071476 89530428 104108722 114107214 156163083 208217444 228214428 312326166 624652332 676706693 1353413386 2030120079 2706826772 4060240158 6610903847 8120480316 13221807694 19832711541 26443615388 39665423082 79330846164 85941750011 171883500022 257825250033 343767000044 515650500066 1031301000132