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409238101201 = 31131100772741
BaseRepresentation
bin1011111010010000111…
…11011101110011010001
31110010022111200112110011
411331020133131303101
523201104423214301
6512000144434521
741365205315446
oct5751037356321
91403274615404
10409238101201
1114861426a586
1267391018a41
132c78b526107
1415b430779cd
15a9a2958a51
hex5f487ddcd1

409238101201 has 8 divisors (see below), whose sum is σ = 425664062208. Its totient is φ = 393013686000.

The previous prime is 409238101193. The next prime is 409238101213. The reversal of 409238101201 is 102101832904.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 409238101201 - 23 = 409238101193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409238101231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50382310 + ... + 50390431.

It is an arithmetic number, because the mean of its divisors is an integer number (53208007776).

Almost surely, 2409238101201 is an apocalyptic number.

It is an amenable number.

409238101201 is a deficient number, since it is larger than the sum of its proper divisors (16425961007).

409238101201 is a wasteful number, since it uses less digits than its factorization.

409238101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100772903.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 409238101201 in words is "four hundred nine billion, two hundred thirty-eight million, one hundred one thousand, two hundred one".

Divisors: 1 31 131 4061 100772741 3123954971 13201229071 409238101201