Search a number
-
+
100131221113 = 71121131046183
BaseRepresentation
bin101110101000001001…
…0010010111001111001
3100120110022120001202221
41131100102102321321
53120032043033423
6113555531324041
710143226223230
oct1352022227171
9316408501687
10100131221113
1139513511500
12174a58b0621
139599a64c81
144bbc65bb17
152910a09e5d
hex1750492e79

100131221113 has 24 divisors (see below), whose sum is σ = 126897934464. Its totient is φ = 77333773440.

The previous prime is 100131221101. The next prime is 100131221117. The reversal of 100131221113 is 311122131001.

It is a happy number.

It is not a de Polignac number, because 100131221113 - 29 = 100131220601 is a prime.

It is a super-2 number, since 2×1001312211132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100131221117) 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, 427381 + ... + 618802.

It is an arithmetic number, because the mean of its divisors is an integer number (5287413936).

Almost surely, 2100131221113 is an apocalyptic number.

It is an amenable number.

100131221113 is a deficient number, since it is larger than the sum of its proper divisors (26766713351).

100131221113 is a wasteful number, since it uses less digits than its factorization.

100131221113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046325 (or 1046314 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100131221113 its reverse (311122131001), we get a palindrome (411253352114).

The spelling of 100131221113 in words is "one hundred billion, one hundred thirty-one million, two hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 7 11 77 113 121 791 847 1243 8701 13673 95711 1046183 7323281 11508013 80556091 118218679 126588143 827530753 886117001 1300405469 9102838283 14304460159 100131221113