Search a number
-
+
101031366006 = 23259711339903
BaseRepresentation
bin101111000010111110…
…0000100110101110110
3100122210001100011102200
41132011330010311312
53123403012203011
6114225124445330
710204436304324
oct1360574046566
9318701304380
10101031366006
11399356326aa
12176b7249846
1396b13ac59c
144c66014d14
152964a64856
hex1785f04d76

101031366006 has 48 divisors (see below), whose sum is σ = 225747025920. Its totient is φ = 32640012720.

The previous prime is 101031365989. The next prime is 101031366011. The reversal of 101031366006 is 600663130101.

It is a happy number.

101031366006 is a `hidden beast` number, since 10 + 10 + 3 + 1 + 36 + 600 + 6 = 666.

It is a Curzon number.

It is a congruent number.

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, 594550 + ... + 745353.

It is an arithmetic number, because the mean of its divisors is an integer number (4703063040).

Almost surely, 2101031366006 is an apocalyptic number.

101031366006 is an abundant number, since it is smaller than the sum of its proper divisors (124715659914).

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

101031366006 is a wasteful number, since it uses less digits than its factorization.

101031366006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340041 (or 1340038 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 101031366006 its reverse (600663130101), we get a palindrome (701694496107).

The spelling of 101031366006 in words is "one hundred one billion, thirty-one million, three hundred sixty-six thousand, six".

Divisors: 1 2 3 6 9 18 59 71 118 142 177 213 354 426 531 639 1062 1278 4189 8378 12567 25134 37701 75402 1339903 2679806 4019709 8039418 12059127 24118254 79054277 95133113 158108554 190266226 237162831 285399339 474325662 570798678 711488493 856198017 1422976986 1712396034 5612853667 11225707334 16838561001 33677122002 50515683003 101031366006