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130233332031 = 311731011373907
BaseRepresentation
bin111100101001010000…
…0101111000100111111
3110110011011222201222220
41321102200233010333
54113204213111111
6135454532140423
712260206025445
oct1712240570477
9413134881886
10130233332031
1150260358a20
12212a6a67713
13c38632c61a
146436486b95
1535c35a3e06
hex1e5282f13f

130233332031 has 64 divisors (see below), whose sum is σ = 195391996416. Its totient is φ = 76495104000.

The previous prime is 130233332023. The next prime is 130233332039.

130233332031 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (130233332023) and next prime (130233332039).

It is not a de Polignac number, because 130233332031 - 23 = 130233332023 is a prime.

It is a super-2 number, since 2×1302333320312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130233331992 and 130233332010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130233332039) 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, 33331380 + ... + 33335286.

It is an arithmetic number, because the mean of its divisors is an integer number (3052999944).

Almost surely, 2130233332031 is an apocalyptic number.

130233332031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130233332031 is a deficient number, since it is larger than the sum of its proper divisors (65158664385).

130233332031 is a wasteful number, since it uses less digits than its factorization.

130233332031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232.

The product of its (nonzero) digits is 2916, while the sum is 24.

It can be divided in two parts, 130233 and 332031, that added together give a palindrome (462264).

The spelling of 130233332031 in words is "one hundred thirty billion, two hundred thirty-three million, three hundred thirty-two thousand, thirty-one".

Divisors: 1 3 11 33 73 101 137 219 303 411 803 1111 1507 2409 3333 3907 4521 7373 10001 11721 13837 22119 30003 41511 42977 81103 110011 128931 152207 243309 285211 330033 394607 456621 535259 855633 1010101 1183821 1605777 3030303 3137321 4340677 5887849 9411963 11111111 13022031 17663547 28806311 33333333 39073907 54061159 86418933 117221721 162183477 316869421 429812977 594672749 950608263 1289438931 1784018247 3946464607 11839393821 43411110677 130233332031