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1002131122300 = 2252711130146899
BaseRepresentation
bin11101001010100111010…
…10110110100001111100
310112210200020111122200121
432211103222312201330
5112404331031403200
62044212255504324
7132254512664410
oct16452352664174
93483606448617
101002131122300
113570019906a0
121422778280a4
1373667962459
14367094b4d40
151b1038c9e1a
hexe953ab687c

1002131122300 has 72 divisors (see below), whose sum is σ = 2711220220800. Its totient is φ = 312352555200.

The previous prime is 1002131122277. The next prime is 1002131122309. The reversal of 1002131122300 is 32211312001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002131122309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65065750 + ... + 65081149.

It is an arithmetic number, because the mean of its divisors is an integer number (37655836400).

Almost surely, 21002131122300 is an apocalyptic number.

1002131122300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002131122300 is an abundant number, since it is smaller than the sum of its proper divisors (1709089098500).

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

1002131122300 is a wasteful number, since it uses less digits than its factorization.

1002131122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130146931 (or 130146924 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1002131122300 its reverse (32211312001), we get a palindrome (1034342434301).

The spelling of 1002131122300 in words is "one trillion, two billion, one hundred thirty-one million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 130146899 260293798 520587596 650734495 911028293 1301468990 1431615889 1822056586 2602937980 2863231778 3253672475 3644113172 4555141465 5726463556 6507344950 7158079445 9110282930 10021311223 13014689900 14316158890 18220565860 20042622446 22775707325 28632317780 35790397225 40085244892 45551414650 50106556115 71580794450 91102829300 100213112230 143161588900 200426224460 250532780575 501065561150 1002131122300