Search a number
-
+
131000012001 = 3243579158453
BaseRepresentation
bin111101000000000110…
…1011000110011100001
3110112010121122010012100
41322000031120303201
54121242000341001
6140103000521013
712315205505145
oct1720015306341
9415117563170
10131000012001
1150614100a31
122147b780169
13c479117301
1464aa21b225
15361aa48586
hex1e80358ce1

131000012001 has 24 divisors (see below), whose sum is σ = 193659504896. Its totient is φ = 85286144160.

The previous prime is 131000011973. The next prime is 131000012023. The reversal of 131000012001 is 100210000131.

It is not a de Polignac number, because 131000012001 - 26 = 131000011937 is a prime.

It is a super-2 number, since 2×1310000120012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131000012051) 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, 2211891 + ... + 2270343.

Almost surely, 2131000012001 is an apocalyptic number.

It is an amenable number.

131000012001 is a deficient number, since it is larger than the sum of its proper divisors (62659492895).

131000012001 is a wasteful number, since it uses less digits than its factorization.

131000012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64293 (or 64290 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 131000012001 its reverse (100210000131), we get a palindrome (231210012132).

The spelling of 131000012001 in words is "one hundred thirty-one billion, twelve thousand, one".

Divisors: 1 3 9 43 129 387 5791 17373 52119 58453 175359 249013 526077 747039 2241117 2513479 7540437 22621311 338501323 1015503969 3046511907 14555556889 43666670667 131000012001