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100012331001 = 31129374216709
BaseRepresentation
bin101110100100100110…
…0110000111111111001
3100120011000211211012110
41131021030300333321
53114311124043001
6113540043202533
710140253533642
oct1351114607771
9316130754173
10100012331001
1139462398610
1217471b16449
13957b2392ab
144baa9506c9
1529053733d6
hex1749330ff9

100012331001 has 64 divisors (see below), whose sum is σ = 154946246400. Its totient is φ = 56797977600.

The previous prime is 100012330973. The next prime is 100012331011. The reversal of 100012331001 is 100133210001.

It is not a de Polignac number, because 100012331001 - 26 = 100012330937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100012331011) 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, 14903835 + ... + 14910543.

It is an arithmetic number, because the mean of its divisors is an integer number (2421035100).

Almost surely, 2100012331001 is an apocalyptic number.

100012331001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012331001 is a deficient number, since it is larger than the sum of its proper divisors (54933915399).

100012331001 is a wasteful number, since it uses less digits than its factorization.

100012331001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7210.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100012331001 its reverse (100133210001), we get a palindrome (200145541002).

The spelling of 100012331001 in words is "one hundred billion, twelve million, three hundred thirty-one thousand, one".

Divisors: 1 3 11 29 33 37 87 111 319 407 421 957 1073 1221 1263 3219 4631 6709 11803 12209 13893 15577 20127 35409 36627 46731 73799 134299 171347 194561 221397 248233 402897 451733 514041 583683 744699 1355199 2140171 2730563 2824489 4969063 6420513 7198757 8191689 8473467 14907189 21596271 31069379 79186327 81910181 93208137 104506093 237558981 245730543 313518279 901011991 1149567023 2703035973 3030676697 3448701069 9092030091 33337443667 100012331001