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100001130331 = 2927138333223
BaseRepresentation
bin101110100100010001…
…0000010011101011011
3100120010020202202202211
41131020202002131123
53114300242132311
6113535003135551
710140056403634
oct1351042023533
9316106682684
10100001130331
1139457038363
121746a2145b7
139578b1708b
144ba927688b
1529043ae821
hex174888275b

100001130331 has 16 divisors (see below), whose sum is σ = 104105410560. Its totient is φ = 95942478240.

The previous prime is 100001130323. The next prime is 100001130349. The reversal of 100001130331 is 133031100001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100001130331 - 23 = 100001130323 is a prime.

It is a super-2 number, since 2×1000011303312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001130371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2993386 + ... + 3026608.

It is an arithmetic number, because the mean of its divisors is an integer number (6506588160).

Almost surely, 2100001130331 is an apocalyptic number.

100001130331 is a deficient number, since it is larger than the sum of its proper divisors (4104280229).

100001130331 is a wasteful number, since it uses less digits than its factorization.

100001130331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33906.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 100001130331 its reverse (133031100001), we get a palindrome (233032230332).

The spelling of 100001130331 in words is "one hundred billion, one million, one hundred thirty thousand, three hundred thirty-one".

Divisors: 1 29 271 383 7859 11107 33223 103793 963467 3009997 9003433 12724409 261099557 369007861 3448314839 100001130331