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3001125407 = 729311074457
BaseRepresentation
bin1011001011100001…
…1000101000011111
321202011010222002212
42302320120220133
522121242003112
61213444311035
7134241100520
oct26270305037
97664128085
103001125407
111300069a35
126b90a247b
1338a9b9867
1420681a847
15128717522
hexb2e18a1f

3001125407 has 32 divisors (see below), whose sum is σ = 3697643520. Its totient is φ = 2380573440.

The previous prime is 3001125403. The next prime is 3001125409. The reversal of 3001125407 is 7045211003.

3001125407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3001125407 - 22 = 3001125403 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001125401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671123 + ... + 675579.

It is an arithmetic number, because the mean of its divisors is an integer number (115551360).

Almost surely, 23001125407 is an apocalyptic number.

3001125407 is a deficient number, since it is larger than the sum of its proper divisors (696518113).

3001125407 is a wasteful number, since it uses less digits than its factorization.

3001125407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 3001125407 is about 54782.5283005449. The cubic root of 3001125407 is about 1442.4298941787.

The spelling of 3001125407 in words is "three billion, one million, one hundred twenty-five thousand, four hundred seven".

Divisors: 1 7 29 31 107 203 217 749 899 3103 3317 4457 6293 21721 23219 31199 96193 129253 138167 476899 673351 904771 967169 3338293 4006843 13830071 14783869 28047901 96810497 103487083 428732201 3001125407