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106431225000 = 233551419083
BaseRepresentation
bin110001100011111001…
…0111001110010101000
3101011201101010102102020
41203013302321302220
53220432343200000
6120521022304440
710455315325422
oct1430762716250
9334641112366
10106431225000
1141156719691
1218763728120
13a062030519
145219241812
152b7db52ba0
hex18c7cb9ca8

106431225000 has 96 divisors (see below), whose sum is σ = 332576526240. Its totient is φ = 28381640000.

The previous prime is 106431224983. The next prime is 106431225001. The reversal of 106431225000 is 522134601.

It is a super-2 number, since 2×1064312250002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106431225001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 634542 + ... + 784541.

It is an arithmetic number, because the mean of its divisors is an integer number (3464338815).

Almost surely, 2106431225000 is an apocalyptic number.

106431225000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106431225000 is an abundant number, since it is smaller than the sum of its proper divisors (226145301240).

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

106431225000 is an equidigital number, since it uses as much as digits as its factorization.

106431225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419117 (or 1419093 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 106431225000 its reverse (522134601), we get a palindrome (106953359601).

The spelling of 106431225000 in words is "one hundred six billion, four hundred thirty-one million, two hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3125 3750 5000 6250 7500 9375 12500 15000 18750 25000 37500 75000 1419083 2838166 4257249 5676332 7095415 8514498 11352664 14190830 17028996 21286245 28381660 34057992 35477075 42572490 56763320 70954150 85144980 106431225 141908300 170289960 177385375 212862450 283816600 354770750 425724900 532156125 709541500 851449800 886926875 1064312250 1419083000 1773853750 2128624500 2660780625 3547707500 4257249000 4434634375 5321561250 7095415000 8869268750 10643122500 13303903125 17738537500 21286245000 26607806250 35477075000 53215612500 106431225000