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631071001 = 112937127421
BaseRepresentation
bin100101100111010…
…110000100011001
31121222110201200001
4211213112010121
52243023233001
6142342013001
721432005101
oct4547260431
91558421601
10631071001
112a424aa90
12157417161
13a09871c2
145db54201
153a609001
hex259d6119

631071001 has 32 divisors (see below), whose sum is σ = 738938880. Its totient is φ = 533433600.

The previous prime is 631070971. The next prime is 631071011. The reversal of 631071001 is 100170136.

It is a happy number.

It is a 3-Lehmer number, since φ(631071001) divides (631071001-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 631071001 - 27 = 631070873 is a prime.

It is a deceptive number, since it divides R631071000.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 631071001.

It is not an unprimeable number, because it can be changed into a prime (631071011) 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, 1498771 + ... + 1499191.

It is an arithmetic number, because the mean of its divisors is an integer number (23091840).

It is a Poulet number, since it divides 2631071000-1.

Almost surely, 2631071001 is an apocalyptic number.

It is an amenable number.

631071001 is a deficient number, since it is larger than the sum of its proper divisors (107867879).

631071001 is a wasteful number, since it uses less digits than its factorization.

631071001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 631071001 is about 25121.1265869984. The cubic root of 631071001 is about 857.7473954044.

The spelling of 631071001 in words is "six hundred thirty-one million, seventy-one thousand, one".

Divisors: 1 11 29 37 127 319 407 421 1073 1397 3683 4631 4699 11803 12209 15577 40513 51689 53467 134299 136271 171347 451733 588137 1498981 1550543 1978279 4969063 17055973 21761069 57370091 631071001