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172115133073 = 1353257972001
BaseRepresentation
bin1010000001001011011…
…1001000001010010001
3121110020222222200020021
42200102313020022101
510304442433224243
6211022452343441
715302113330612
oct2402267101221
9543228880207
10172115133073
1166aa2561a34
1229435014b81
13132cc213010
14848a941c09
1547253a16ed
hex2812dc8291

172115133073 has 16 divisors (see below), whose sum is σ = 189587046096. Its totient is φ = 155271168000.

The previous prime is 172115133049. The next prime is 172115133097. The reversal of 172115133073 is 370331511271.

It is an interprime number because it is at equal distance from previous prime (172115133049) and next prime (172115133097).

It can be written as a sum of positive squares in 8 ways, for example, as 23113729024 + 149001404049 = 152032^2 + 386007^2 .

It is a de Polignac number, because none of the positive numbers 2k-172115133073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172115130073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308928 + ... + 663073.

It is an arithmetic number, because the mean of its divisors is an integer number (11849190381).

Almost surely, 2172115133073 is an apocalyptic number.

172115133073 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

172115133073 is a deficient number, since it is larger than the sum of its proper divisors (17471913023).

172115133073 is a wasteful number, since it uses less digits than its factorization.

172115133073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972324.

The product of its (nonzero) digits is 13230, while the sum is 34.

The spelling of 172115133073 in words is "one hundred seventy-two billion, one hundred fifteen million, one hundred thirty-three thousand, seventy-three".

Divisors: 1 13 53 257 689 3341 13621 177073 972001 12636013 51516053 249804257 669708689 3247455341 13239625621 172115133073