Search a number
-
+
101282109696 = 28344884361
BaseRepresentation
bin101111001010011100…
…0100101100100000000
3100200102112011021010000
41132110320211210000
53124411210002241
6114310043040000
710213602504435
oct1362470454400
9320375137100
10101282109696
1139a54124099
1217767210000
139721322631
144c8b445b8c
15297ba93eb6
hex1794e25900

101282109696 has 90 divisors (see below), whose sum is σ = 302004986822. Its totient is φ = 33760696320.

The previous prime is 101282109683. The next prime is 101282109697. The reversal of 101282109696 is 696901282101.

It can be written as a sum of positive squares in only one way, i.e., 97194297600 + 4087812096 = 311760^2 + 63936^2 .

It is not an unprimeable number, because it can be changed into a prime (101282109697) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2421445 + ... + 2462916.

Almost surely, 2101282109696 is an apocalyptic number.

101282109696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101282109696 is an abundant number, since it is smaller than the sum of its proper divisors (200722877126).

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

101282109696 is an frugal number, since it uses more digits than its factorization.

101282109696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884389 (or 4884366 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 101282109696 in words is "one hundred one billion, two hundred eighty-two million, one hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 4884361 9768722 14653083 19537444 29306166 39074888 43959249 58612332 78149776 87918498 117224664 131877747 156299552 175836996 234449328 263755494 312599104 351673992 395633241 468898656 527510988 625198208 703347984 791266482 937797312 1055021976 1250396416 1406695968 1582532964 1875594624 2110043952 2813391936 3165065928 3751189248 4220087904 5626783872 6330131856 8440175808 11253567744 12660263712 16880351616 25320527424 33760703232 50641054848 101282109696