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101744005320 = 23325282622237
BaseRepresentation
bin101111011000001101…
…0100101000011001000
3100201121201021222210100
41132300122211003020
53131332431132240
6114423543045400
710231211530056
oct1366032450310
9321551258710
10101744005320
113a170925111
1217875a40860
139795c25959
144cd291d1d6
1529a73d1e30
hex17b06a50c8

101744005320 has 48 divisors (see below), whose sum is σ = 330668018460. Its totient is φ = 27131734656.

The previous prime is 101744005291. The next prime is 101744005339. The reversal of 101744005320 is 23500447101.

101744005320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 101387475396 + 356529924 = 318414^2 + 18882^2 .

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, 141310759 + ... + 141311478.

Almost surely, 2101744005320 is an apocalyptic number.

101744005320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101744005320 is an abundant number, since it is smaller than the sum of its proper divisors (228924013140).

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

101744005320 is a wasteful number, since it uses less digits than its factorization.

101744005320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282622254 (or 282622247 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 101744005320 in words is "one hundred one billion, seven hundred forty-four million, five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 282622237 565244474 847866711 1130488948 1413111185 1695733422 2260977896 2543600133 2826222370 3391466844 4239333555 5087200266 5652444740 6782933688 8478667110 10174400532 11304889480 12718000665 16957334220 20348801064 25436001330 33914668440 50872002660 101744005320