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201642032106 = 232113167593627
BaseRepresentation
bin1011101111001011001…
…1010011101111101010
3201021110210001120002100
42323302303103233222
511300430330011411
6232344424314230
720365606664424
oct2736263235752
9637423046070
10201642032106
1178574741229
12330b5612976
13160265806c8
149a8c1d7814
1553a26c7456
hex2ef2cd3bea

201642032106 has 48 divisors (see below), whose sum is σ = 443397374784. Its totient is φ = 66220167552.

The previous prime is 201642032077. The next prime is 201642032113. The reversal of 201642032106 is 601230246102.

201642032106 is a `hidden beast` number, since 2 + 0 + 1 + 642 + 0 + 3 + 2 + 10 + 6 = 666.

It is a super-2 number, since 2×2016420321062 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 201642032106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42865 + ... + 636491.

It is an arithmetic number, because the mean of its divisors is an integer number (9237445308).

Almost surely, 2201642032106 is an apocalyptic number.

201642032106 is an abundant number, since it is smaller than the sum of its proper divisors (241755342678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201642032106 is a wasteful number, since it uses less digits than its factorization.

201642032106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593915 (or 593912 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 201642032106 its reverse (601230246102), we get a palindrome (802872278208).

The spelling of 201642032106 in words is "two hundred one billion, six hundred forty-two million, thirty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 113 167 226 334 339 501 678 1002 1017 1503 2034 3006 18871 37742 56613 113226 169839 339678 593627 1187254 1780881 3561762 5342643 10685286 67079851 99135709 134159702 198271418 201239553 297407127 402479106 594814254 603718659 892221381 1207437318 1784442762 11202335117 22404670234 33607005351 67214010702 100821016053 201642032106