Search a number
-
+
101702000016 = 2432929760241
BaseRepresentation
bin101111010110111101…
…0010101110110010000
3100201111210020220100100
41132231322111312100
53131241203000031
6114415442452400
710230161510451
oct1365572256620
9321453226310
10101702000016
113a14a144991
1217863964100
13978a309446
144ccb107128
1529a3885de6
hex17ade95d90

101702000016 has 60 divisors (see below), whose sum is σ = 284931099180. Its totient is φ = 33864130560.

The previous prime is 101702000009. The next prime is 101702000069. The reversal of 101702000016 is 610000207101.

It can be written as a sum of positive squares in 2 ways, for example, as 53266793616 + 48435206400 = 230796^2 + 220080^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246345 + ... + 513896.

It is an arithmetic number, because the mean of its divisors is an integer number (4748851653).

Almost surely, 2101702000016 is an apocalyptic number.

101702000016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101702000016 is an abundant number, since it is smaller than the sum of its proper divisors (183229099164).

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

101702000016 is a wasteful number, since it uses less digits than its factorization.

101702000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761184 (or 761175 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 101702000016 its reverse (610000207101), we get a palindrome (711702207117).

The spelling of 101702000016 in words is "one hundred one billion, seven hundred two million, sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 929 1858 2787 3716 5574 7432 8361 11148 14864 16722 22296 33444 44592 66888 133776 760241 1520482 2280723 3040964 4561446 6081928 6842169 9122892 12163856 13684338 18245784 27368676 36491568 54737352 109474704 706263889 1412527778 2118791667 2825055556 4237583334 5650111112 6356375001 8475166668 11300222224 12712750002 16950333336 25425500004 33900666672 50851000008 101702000016