Search a number
-
+
101114320413420 = 223251733247088003
BaseRepresentation
bin10110111111011010000011…
…001001100110001011101100
3111021000102201211202200011200
4112333122003021212023230
5101223124112011212140
6555015135540245500
730204161056315236
oct2677320311461354
9437012654680150
10101114320413420
112a244384912786
12b4107713a0890
134456068a27512
141ad7d6015b256
15ba5337596030
hex5bf6832662ec

101114320413420 has 72 divisors (see below), whose sum is σ = 308486348732016. Its totient is φ = 26807958544512.

The previous prime is 101114320413341. The next prime is 101114320413473. The reversal of 101114320413420 is 24314023411101.

It is a happy number.

101114320413420 is a `hidden beast` number, since 1 + 0 + 1 + 114 + 3 + 204 + 1 + 342 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1623512862 + ... + 1623575141.

It is an arithmetic number, because the mean of its divisors is an integer number (4284532621278).

Almost surely, 2101114320413420 is an apocalyptic number.

101114320413420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101114320413420 is an abundant number, since it is smaller than the sum of its proper divisors (207372028318596).

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

101114320413420 is a wasteful number, since it uses less digits than its factorization.

101114320413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247088191 (or 3247088186 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101114320413420 its reverse (24314023411101), we get a palindrome (125428343824521).

The spelling of 101114320413420 in words is "one hundred one trillion, one hundred fourteen billion, three hundred twenty million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 692 865 1038 1557 1730 2076 2595 3114 3460 5190 6228 7785 10380 15570 31140 3247088003 6494176006 9741264009 12988352012 16235440015 19482528018 29223792027 32470880030 38965056036 48706320045 58447584054 64941760060 97412640090 116895168108 146118960135 194825280180 292237920270 561746224519 584475840540 1123492449038 1685238673557 2246984898076 2808731122595 3370477347114 5055716020671 5617462245190 6740954694228 8426193367785 10111432041342 11234924490380 16852386735570 20222864082684 25278580103355 33704773471140 50557160206710 101114320413420