Search a number
-
+
5100131223 = 341117536353
BaseRepresentation
bin1001011111111110…
…11101001110010111
3111011102210111210000
410233333131032113
540421113144343
62202025302343
7240246254145
oct45777351627
914142714700
105100131223
112187989090
12ba40349b3
1363381a035
143654c8595
151ecb34ed3
hex12ffdd397

5100131223 has 80 divisors (see below), whose sum is σ = 8967679776. Its totient is φ = 2853826560.

The previous prime is 5100131219. The next prime is 5100131261. The reversal of 5100131223 is 3221310015.

5100131223 is a `hidden beast` number, since 510 + 0 + 131 + 2 + 23 = 666.

It is not a de Polignac number, because 5100131223 - 22 = 5100131219 is a prime.

It is a super-2 number, since 2×51001312232 = 52022676983638951458, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5100131196 and 5100131205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5100131213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 799615 + ... + 805967.

Almost surely, 25100131223 is an apocalyptic number.

5100131223 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

5100131223 is a deficient number, since it is larger than the sum of its proper divisors (3867548553).

5100131223 is a wasteful number, since it uses less digits than its factorization.

5100131223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6446 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5100131223 is about 71415.2030242861. The cubic root of 5100131223 is about 1721.3153836214.

Adding to 5100131223 its reverse (3221310015), we get a palindrome (8321441238).

The spelling of 5100131223 in words is "five billion, one hundred million, one hundred thirty-one thousand, two hundred twenty-three".

Divisors: 1 3 9 11 17 27 33 51 53 81 99 153 159 187 297 459 477 561 583 891 901 1377 1431 1683 1749 2703 4293 5049 5247 6353 8109 9911 15147 15741 19059 24327 29733 47223 57177 69883 72981 89199 108001 171531 209649 267597 324003 336709 514593 628947 802791 972009 1010127 1188011 1886841 2916027 3030381 3564033 3703799 5660523 5724053 8748081 9091143 10692099 11111397 17172159 27273429 32076297 33334191 51516477 62964583 96228891 100002573 154549431 188893749 300007719 463648293 566681247 1700043741 5100131223