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106302443060154 = 23112892396883649
BaseRepresentation
bin11000001010111001110111…
…010110110111101110111010
3111221101102012000211102102110
4120022321313112313232322
5102413124400410411104
61014030400154113150
731251045431224335
oct3012716726675672
9457342160742373
10106302443060154
1130964681899100
12bb0a16111b7b6
13474137b4b8963
141c370cc3b161c
15c45285645e89
hex60ae775b7bba

106302443060154 has 96 divisors (see below), whose sum is σ = 237304196640000. Its totient is φ = 31717647216640.

The previous prime is 106302443060137. The next prime is 106302443060179. The reversal of 106302443060154 is 451060344203601.

It is a super-2 number, since 2×1063024430601542 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12000922 + ... + 18884570.

It is an arithmetic number, because the mean of its divisors is an integer number (2471918715000).

Almost surely, 2106302443060154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106302443060154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118652098320000).

106302443060154 is an abundant number, since it is smaller than the sum of its proper divisors (131001753579846).

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

106302443060154 is a wasteful number, since it uses less digits than its factorization.

106302443060154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6884004 (or 6883993 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 106302443060154 its reverse (451060344203601), we get a palindrome (557362787263755).

The spelling of 106302443060154 in words is "one hundred six trillion, three hundred two billion, four hundred forty-three million, sixty thousand, one hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 89 121 178 239 242 267 363 478 534 717 726 979 1434 1958 2629 2937 5258 5874 7887 10769 15774 21271 21538 28919 32307 42542 57838 63813 64614 86757 127626 173514 233981 467962 701943 1403886 2573791 5147582 6883649 7721373 13767298 15442746 20650947 41301894 75720139 151440278 227160417 454320834 612644761 832921529 1225289522 1645192111 1665843058 1837934283 2498764587 3290384222 3675868566 4935576333 4997529174 6739092371 9871152666 13478184742 18097113221 20217277113 36194226442 40434554226 54291339663 74130016081 108582679326 146422097879 148260032162 199068245431 222390048243 292844195758 398136490862 439266293637 444780096486 597204736293 878532587274 1194409472586 1610643076669 3221286153338 4831929230007 9663858460014 17717073843359 35434147686718 53151221530077 106302443060154