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1002130313324 = 227234137953731
BaseRepresentation
bin11101001010100111001…
…11110001000001101100
310112210200011222112222112
432211103213301001230
5112404330330011244
62044212230303152
7132254503055030
oct16452347610154
93483604875875
101002130313324
11357001488918
121422774b7ab8
137366773b17a
14367093441c0
151b1037ba39e
hexe9539f106c

1002130313324 has 48 divisors (see below), whose sum is σ = 2142412263936. Its totient is φ = 400791388800.

The previous prime is 1002130313323. The next prime is 1002130313377. The reversal of 1002130313324 is 4233130312001.

1002130313324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10021303133243 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 1002130313324.

It is not an unprimeable number, because it can be changed into a prime (1002130313321) 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, 18950462 + ... + 19003269.

It is an arithmetic number, because the mean of its divisors is an integer number (44633588832).

Almost surely, 21002130313324 is an apocalyptic number.

1002130313324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1002130313324 is an abundant number, since it is smaller than the sum of its proper divisors (1140281950612).

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

1002130313324 is a wasteful number, since it uses less digits than its factorization.

1002130313324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37953806 (or 37953804 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1002130313324 its reverse (4233130312001), we get a palindrome (5235260625325).

The spelling of 1002130313324 in words is "one trillion, two billion, one hundred thirty million, three hundred thirteen thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 41 46 82 92 161 164 287 322 574 644 943 1148 1886 3772 6601 13202 26404 37953731 75907462 151814924 265676117 531352234 872935813 1062704468 1556102971 1745871626 3112205942 3491743252 6110550691 6224411884 10892720797 12221101382 21785441594 24442202764 35790368333 43570883188 71580736666 143161473332 250532578331 501065156662 1002130313324