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100024377131 = 727327963203
BaseRepresentation
bin101110100100111101…
…0101101111100101011
3100120011212111211101102
41131021322231330223
53114322220032011
6113541153312015
710140461114600
oct1351172557453
9316155454342
10100024377131
1139469175a98
1217475b6560b
139580896293
144bac3a86a7
15290645273b
hex1749eadf2b

100024377131 has 12 divisors (see below), whose sum is σ = 117948794472. Its totient is φ = 84560722848.

The previous prime is 100024377031. The next prime is 100024377143. The reversal of 100024377131 is 131773420001.

It is a happy number.

It is not a de Polignac number, because 100024377131 - 214 = 100024360747 is a prime.

It is a super-2 number, since 2×1000243771312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100024377094 and 100024377103.

It is not an unprimeable number, because it can be changed into a prime (100024377031) 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 11 ways as a sum of consecutive naturals, for example, 13978025 + ... + 13985178.

It is an arithmetic number, because the mean of its divisors is an integer number (9829066206).

Almost surely, 2100024377131 is an apocalyptic number.

100024377131 is a deficient number, since it is larger than the sum of its proper divisors (17924417341).

100024377131 is an equidigital number, since it uses as much as digits as its factorization.

100024377131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27963290 (or 27963283 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

Adding to 100024377131 its reverse (131773420001), we get a palindrome (231797797132).

The spelling of 100024377131 in words is "one hundred billion, twenty-four million, three hundred seventy-seven thousand, one hundred thirty-one".

Divisors: 1 7 49 73 511 3577 27963203 195742421 1370196947 2041313819 14289196733 100024377131