Search a number
-
+
106307605888130 = 2573280365997873
BaseRepresentation
bin11000001010111110101011…
…000101011111110010000010
3111221101220111211121020222102
4120022332223011133302002
5102413220434101410010
61014033012343310402
731251320401440053
oct3012765305376202
9457356454536872
10106307605888130
11309668910aa189
12bb0b16214b402
1347419c1cb825a
141c3745bd3a72a
15c45488a12ba5
hex60afab15fc82

106307605888130 has 64 divisors (see below), whose sum is σ = 194098232275200. Its totient is φ = 41913894445056.

The previous prime is 106307605888111. The next prime is 106307605888147. The reversal of 106307605888130 is 31888506703601.

It is a super-2 number, since 2×1063076058881302 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13502803874 + ... + 13502811746.

It is an arithmetic number, because the mean of its divisors is an integer number (3032784879300).

Almost surely, 2106307605888130 is an apocalyptic number.

106307605888130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106307605888130 is a deficient number, since it is larger than the sum of its proper divisors (87790626387070).

106307605888130 is a wasteful number, since it uses less digits than its factorization.

106307605888130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17355.

The product of its (nonzero) digits is 5806080, while the sum is 56.

The spelling of 106307605888130 in words is "one hundred six trillion, three hundred seven billion, six hundred five million, eight hundred eighty-eight thousand, one hundred thirty".

Divisors: 1 2 5 10 73 146 365 730 2803 5606 6599 7873 13198 14015 15746 28030 32995 39365 65990 78730 204619 409238 481727 574729 963454 1023095 1149458 2046190 2408635 2873645 4817270 5747290 18496997 22068019 36993994 44136038 51953927 92484985 103907854 110340095 184969970 220680190 259769635 519539270 1350280781 1610965387 2700561562 3221930774 3792636671 6751403905 7585273342 8054826935 13502807810 16109653870 18963183355 37926366710 145626857381 291253714762 728134286905 1456268573810 10630760588813 21261521177626 53153802944065 106307605888130