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106351503223 = 72341671911259
BaseRepresentation
bin110001100001100001…
…0110010011101110111
3101011111211010010200211
41203003002302131313
53220301441100343
6120505053450251
710453326601420
oct1430302623567
9334454103624
10106351503223
1141115718519
1218740aa0987
13a04b669984
14520c80c647
152b76b5679d
hex18c30b2777

106351503223 has 64 divisors (see below), whose sum is σ = 132657315840. Its totient is φ = 83293689600.

The previous prime is 106351503221. The next prime is 106351503229. The reversal of 106351503223 is 322305153601.

It is a cyclic number.

It is not a de Polignac number, because 106351503223 - 21 = 106351503221 is a prime.

It is a super-2 number, since 2×1063515032232 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106351503221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84472368 + ... + 84473626.

It is an arithmetic number, because the mean of its divisors is an integer number (2072770560).

Almost surely, 2106351503223 is an apocalyptic number.

106351503223 is a deficient number, since it is larger than the sum of its proper divisors (26305812617).

106351503223 is a wasteful number, since it uses less digits than its factorization.

106351503223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588.

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 106351503223 its reverse (322305153601), we get a palindrome (428656656824).

The spelling of 106351503223 in words is "one hundred six billion, three hundred fifty-one million, five hundred three thousand, two hundred twenty-three".

Divisors: 1 7 23 41 67 161 191 287 469 943 1259 1337 1541 2747 4393 6601 7831 8813 10787 12797 19229 28957 30751 51619 54817 63181 84353 89579 180113 202699 240469 294331 361333 442267 524677 590471 1187237 1260791 1683283 1940119 2060317 3458473 3672739 5530787 8310659 9859229 12067571 13580833 16111423 24209311 38715509 69014603 79544879 84472997 112779961 226762267 370562729 556814153 660568343 1587335869 2593939103 4623978401 15193071889 106351503223