Search a number
-
+
100281000001 = 71317897191013
BaseRepresentation
bin101110101100100110…
…1101010000001000001
3100120211202101121210011
41131121031222001001
53120333414000001
6114022441504521
710150025302330
oct1353115520101
9316752347704
10100281000001
1139590012606
1217527aa2141
1395c1ab7330
144bd44c9d17
15291dc43d51
hex175936a041

100281000001 has 64 divisors (see below), whose sum is σ = 132465715200. Its totient is φ = 73661423616.

The previous prime is 100280999969. The next prime is 100281000047. The reversal of 100281000001 is 100000182001.

It is a cyclic number.

It is not a de Polignac number, because 100281000001 - 25 = 100280999969 is a prime.

It is a super-2 number, since 2×1002810000012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (100281000301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98993571 + ... + 98994583.

It is an arithmetic number, because the mean of its divisors is an integer number (2069776800).

Almost surely, 2100281000001 is an apocalyptic number.

It is an amenable number.

100281000001 is a deficient number, since it is larger than the sum of its proper divisors (32184715199).

100281000001 is a wasteful number, since it uses less digits than its factorization.

100281000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100281000001 its reverse (100000182001), we get a palindrome (200281182002).

The spelling of 100281000001 in words is "one hundred billion, two hundred eighty-one million, one", and thus it is an aban number.

Divisors: 1 7 13 17 89 91 119 221 623 719 1013 1157 1513 1547 5033 7091 8099 9347 10591 12223 13169 17221 19669 63991 65429 85561 90157 92183 120547 137683 158899 223873 447937 631099 728347 831883 1087847 1112293 1172041 1532669 1567111 5098429 5823181 7614929 8204287 9468511 10728683 12381899 14142011 19924697 64822883 66279577 86673293 98994077 139472879 160964687 453760181 842697479 1101989011 1126752809 5898882353 7713923077 14325857143 100281000001