Search a number
-
+
1001012102220 = 2235131518498999
BaseRepresentation
bin11101001000100001111…
…10001000010001001100
310112200210020212112201110
432210100332020101030
5112400033044232340
62043505243212020
7132215004323244
oct16442076102114
93480706775643
101001012102220
11356588265309
12142004b17010
1373519b823b0
1436640a24b24
151b08a538680
hexe910f8844c

1001012102220 has 96 divisors (see below), whose sum is σ = 3038426496000. Its totient is φ = 244771142400.

The previous prime is 1001012102191. The next prime is 1001012102221. The reversal of 1001012102220 is 222012101001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001012102196 and 1001012102205.

It is not an unprimeable number, because it can be changed into a prime (1001012102221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4131720 + ... + 4367279.

It is an arithmetic number, because the mean of its divisors is an integer number (31650276000).

Almost surely, 21001012102220 is an apocalyptic number.

1001012102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001012102220 is an abundant number, since it is smaller than the sum of its proper divisors (2037414393780).

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

1001012102220 is a wasteful number, since it uses less digits than its factorization.

1001012102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8499175 (or 8499173 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001012102220 its reverse (222012101001), we get a palindrome (1223024203221).

The spelling of 1001012102220 in words is "one trillion, one billion, twelve million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 151 156 195 260 302 390 453 604 755 780 906 1510 1812 1963 2265 3020 3926 4530 5889 7852 9060 9815 11778 19630 23556 29445 39260 58890 117780 8498999 16997998 25496997 33995996 42494995 50993994 84989990 101987988 110486987 127484985 169979980 220973974 254969970 331460961 441947948 509939940 552434935 662921922 1104869870 1283348849 1325843844 1657304805 2209739740 2566697698 3314609610 3850046547 5133395396 6416744245 6629219220 7700093094 12833488490 15400186188 16683535037 19250232735 25666976980 33367070074 38500465470 50050605111 66734140148 77000930940 83417675185 100101210222 166835350370 200202420444 250253025555 333670700740 500506051110 1001012102220