Search a number
-
+
101010673728 = 263358455251
BaseRepresentation
bin101111000010010110…
…1001001000001000000
3100122201121101212222000
41132010231021001000
53123332213024403
6114223105144000
710204065363066
oct1360455110100
9318647355860
10101010673728
113992498a248
12176b032b000
1396aa016033
144c6338a036
152962d287a3
hex1784b49040

101010673728 has 56 divisors (see below), whose sum is σ = 296952680160. Its totient is φ = 33670224000.

The previous prime is 101010673697. The next prime is 101010673741. The reversal of 101010673728 is 827376010101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101010673692 and 101010673701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29225898 + ... + 29229353.

Almost surely, 2101010673728 is an apocalyptic number.

101010673728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101010673728 is an abundant number, since it is smaller than the sum of its proper divisors (195942006432).

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

101010673728 is an equidigital number, since it uses as much as digits as its factorization.

101010673728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58455272 (or 58455256 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 101010673728 its reverse (827376010101), we get a palindrome (928386683829).

The spelling of 101010673728 in words is "one hundred one billion, ten million, six hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 58455251 116910502 175365753 233821004 350731506 467642008 526097259 701463012 935284016 1052194518 1402926024 1578291777 1870568032 2104389036 2805852048 3156583554 3741136064 4208778072 5611704096 6313167108 8417556144 11223408192 12626334216 16835112288 25252668432 33670224576 50505336864 101010673728