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1010023332132 = 2231312575874259
BaseRepresentation
bin11101011001010100001…
…01001111100100100100
310120120001021002110021110
432230222011033210210
5113022011433112012
62051555345145020
7132654214445463
oct16545205174444
93516037073243
101010023332132
1135a391926761
121438ba92b170
1374324a64cb9
1436c577209da
151b4166d273c
hexeb2a14f924

1010023332132 has 96 divisors (see below), whose sum is σ = 2388573411840. Its totient is φ = 332159426560.

The previous prime is 1010023332113. The next prime is 1010023332133. The reversal of 1010023332132 is 2312333200101.

It is a junction number, because it is equal to n+sod(n) for n = 1010023332099 and 1010023332108.

It is not an unprimeable number, because it can be changed into a prime (1010023332133) by changing a digit.

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, 237148219 + ... + 237152477.

It is an arithmetic number, because the mean of its divisors is an integer number (24880973040).

Almost surely, 21010023332132 is an apocalyptic number.

1010023332132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010023332132 is an abundant number, since it is smaller than the sum of its proper divisors (1378550079708).

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

1010023332132 is a wasteful number, since it uses less digits than its factorization.

1010023332132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5241 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1010023332132 its reverse (2312333200101), we get a palindrome (3322356532233).

The spelling of 1010023332132 in words is "one trillion, ten billion, twenty-three million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 131 257 262 393 514 524 587 771 786 1028 1174 1542 1572 1761 2348 3084 3522 4259 7044 8518 12777 17036 25554 33667 51108 67334 76897 101001 134668 150859 153794 202002 230691 301718 307588 404004 452577 461382 557929 603436 905154 922764 1094563 1115858 1673787 1810308 2189126 2231716 2500033 3283689 3347574 4378252 5000066 6567378 6695148 7500099 10000132 13134756 15000198 19762529 30000396 39525058 59287587 79050116 118575174 143387753 237150348 286775506 327504323 430163259 573551012 642508481 655008646 860326518 982512969 1285016962 1310017292 1720653036 1927525443 1965025938 2570033924 3855050886 3930051876 7710101772 84168611011 168337222022 252505833033 336674444044 505011666066 1010023332132