Search a number
-
+
106005543234 = 23371014727747
BaseRepresentation
bin110001010111001101…
…1000011100101000010
3101010121201010112210220
41202232123003211002
53214044404340414
6120410454403510
710441626151623
oct1425633034502
9333551115726
10106005543234
1140a58402678
1218665060596
139cc4a99616
1451b88b3a4a
152b565b9ca9
hex18ae6c3942

106005543234 has 32 divisors (see below), whose sum is σ = 219897014976. Its totient is φ = 34039771200.

The previous prime is 106005543227. The next prime is 106005543239. The reversal of 106005543234 is 432345500601.

It is a super-2 number, since 2×1060055432342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106005543195 and 106005543204.

It is not an unprimeable number, because it can be changed into a prime (106005543239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2341452 + ... + 2386295.

It is an arithmetic number, because the mean of its divisors is an integer number (6871781718).

Almost surely, 2106005543234 is an apocalyptic number.

106005543234 is an abundant number, since it is smaller than the sum of its proper divisors (113891471742).

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

106005543234 is a wasteful number, since it uses less digits than its factorization.

106005543234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727890.

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 106005543234 in words is "one hundred six billion, five million, five hundred forty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 37 74 101 111 202 222 303 606 3737 7474 11211 22422 4727747 9455494 14183241 28366482 174926639 349853278 477502447 524779917 955004894 1049559834 1432507341 2865014682 17667590539 35335181078 53002771617 106005543234