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101774000331 = 3241436414193
BaseRepresentation
bin101111011001000110…
…1000000000011001011
3100201200210201220012200
41132302031000003023
53131413121002311
6114430534011243
710232024505063
oct1366215000313
9321623656180
10101774000331
113a186851883
1217883aa6b23
13979c1c8593
144cd68ca3a3
1529a9d59556
hex17b23400cb

101774000331 has 24 divisors (see below), whose sum is σ = 154094596656. Its totient is φ = 64655055360.

The previous prime is 101774000299. The next prime is 101774000333. The reversal of 101774000331 is 133000477101.

It is not a de Polignac number, because 101774000331 - 25 = 101774000299 is a prime.

It is a super-2 number, since 2×1017740003312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101774000295 and 101774000304.

It is not an unprimeable number, because it can be changed into a prime (101774000333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3191230 + ... + 3222963.

It is an arithmetic number, because the mean of its divisors is an integer number (6420608194).

Almost surely, 2101774000331 is an apocalyptic number.

101774000331 is a deficient number, since it is larger than the sum of its proper divisors (52320596325).

101774000331 is a wasteful number, since it uses less digits than its factorization.

101774000331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6414283 (or 6414280 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

Adding to 101774000331 its reverse (133000477101), we get a palindrome (234774477432).

The spelling of 101774000331 in words is "one hundred one billion, seven hundred seventy-four million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 41 43 123 129 369 387 1763 5289 15867 6414193 19242579 57727737 262981913 275810299 788945739 827430897 2366837217 2482292691 11308222259 33924666777 101774000331