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106350543431 = 11253109353431
BaseRepresentation
bin110001100001011111…
…1001000001001000111
3101011111202022101002222
41203002333020021013
53220301214342211
6120505021122555
710453315463246
oct1430277101107
9334452271088
10106350543431
1141115122400
12187406b945b
13a04b3c1b52
14520c63c95d
152b76a171db
hex18c2fc8247

106350543431 has 48 divisors (see below), whose sum is σ = 120816178560. Its totient is φ = 93504153600.

The previous prime is 106350543373. The next prime is 106350543463. The reversal of 106350543431 is 134345053601.

It is not a de Polignac number, because 106350543431 - 214 = 106350527047 is a prime.

It is a super-2 number, since 2×1063505434312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106350543391 and 106350543400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106350543031) 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, 246752786 + ... + 246753216.

It is an arithmetic number, because the mean of its divisors is an integer number (2517003720).

Almost surely, 2106350543431 is an apocalyptic number.

106350543431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106350543431 is a deficient number, since it is larger than the sum of its proper divisors (14465635129).

106350543431 is a wasteful number, since it uses less digits than its factorization.

106350543431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 106350543431 in words is "one hundred six billion, three hundred fifty million, five hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 11 53 109 121 353 431 583 1199 3883 4741 5777 6413 13189 18709 22843 38477 42713 46979 52151 63547 152143 205799 251273 423247 516769 699017 1673573 2039281 2263789 2489887 2764003 4655717 5684459 8063579 16583587 18409303 22432091 27388757 88699369 182419457 246753001 301276327 878930111 975693059 2006614027 9668231221 106350543431