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100556214531 = 3172438332497
BaseRepresentation
bin101110110100110011…
…1100001000100000011
3100121112221020222010220
41131221213201010003
53121414342331111
6114110032354123
710156606502133
oct1355147410403
9317487228126
10100556214531
11397113a8333
12175a40a5943
139636b17776
144c1cc8aac3
152937ea8e06
hex17699e1103

100556214531 has 48 divisors (see below), whose sum is σ = 147498282624. Its totient is φ = 60882425856.

The previous prime is 100556214509. The next prime is 100556214533. The reversal of 100556214531 is 135412655001.

It is not a de Polignac number, because 100556214531 - 29 = 100556214019 is a prime.

It is a super-3 number, since 3×1005562145313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 100556214492 and 100556214501.

It is not an unprimeable number, because it can be changed into a prime (100556214533) 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 47 ways as a sum of consecutive naturals, for example, 3078075 + ... + 3110571.

It is an arithmetic number, because the mean of its divisors is an integer number (3072880888).

Almost surely, 2100556214531 is an apocalyptic number.

100556214531 is a deficient number, since it is larger than the sum of its proper divisors (46942068093).

100556214531 is a wasteful number, since it uses less digits than its factorization.

100556214531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32660 (or 32643 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

Adding to 100556214531 its reverse (135412655001), we get a palindrome (235968869532).

The spelling of 100556214531 in words is "one hundred billion, five hundred fifty-six million, two hundred fourteen thousand, five hundred thirty-one".

Divisors: 1 3 17 43 51 83 129 249 289 731 867 1411 2193 3569 4233 10707 12427 23987 32497 37281 60673 71961 97491 182019 552449 1031441 1397371 1657347 2697251 3094323 4192113 8091753 9391633 23755307 28174899 45853267 71265921 115981793 137559801 347945379 403840219 779505539 1211520657 1971690481 2338516617 5915071443 33518738177 100556214531