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106431616230 = 235113239131363
BaseRepresentation
bin110001100011111010…
…0011001010011100110
3101011201101212022002020
41203013310121103212
53220432443204410
6120521034524010
710455321545142
oct1430764312346
9334641768066
10106431616230
1141156966615
1218763896606
13a062139614
145219304222
152b7dbcda70
hex18c7d194e6

106431616230 has 64 divisors (see below), whose sum is σ = 258776570880. Its totient is φ = 28012683776.

The previous prime is 106431616211. The next prime is 106431616237. The reversal of 106431616230 is 32616134601.

It is a super-2 number, since 2×1064316162302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106431616191 and 106431616200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106431616237) 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 31 ways as a sum of consecutive naturals, for example, 744529 + ... + 875891.

It is an arithmetic number, because the mean of its divisors is an integer number (4043383920).

Almost surely, 2106431616230 is an apocalyptic number.

106431616230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106431616230 is an abundant number, since it is smaller than the sum of its proper divisors (152344954650).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106431616230 is a wasteful number, since it uses less digits than its factorization.

106431616230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131725.

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 106431616230 in words is "one hundred six billion, four hundred thirty-one million, six hundred sixteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 113 226 239 339 478 565 678 717 1130 1195 1434 1695 2390 3390 3585 7170 27007 54014 81021 131363 135035 162042 262726 270070 394089 405105 656815 788178 810210 1313630 1970445 3940890 14844019 29688038 31395757 44532057 62791514 74220095 89064114 94187271 148440190 156978785 188374542 222660285 313957570 445320570 470936355 941872710 3547720541 7095441082 10643161623 17738602705 21286323246 35477205410 53215808115 106431616230