Search a number
-
+
101012232312 = 233210113890571
BaseRepresentation
bin101111000010011001…
…1000101100001111000
3100122201201100001221100
41132010303011201320
53123333112413222
6114223202411400
710204114544055
oct1360463054170
9318651301840
10101012232312
1139925854232
12176b0960b60
1396aa440584
144c6367402c
1529630354ac
hex1784cc5878

101012232312 has 48 divisors (see below), whose sum is σ = 276283477080. Its totient is φ = 33337368000.

The previous prime is 101012232241. The next prime is 101012232319. The reversal of 101012232312 is 213232210101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012232319) 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 11 ways as a sum of consecutive naturals, for example, 6938014 + ... + 6952557.

Almost surely, 2101012232312 is an apocalyptic number.

101012232312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101012232312 is an abundant number, since it is smaller than the sum of its proper divisors (175271244768).

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

101012232312 is a wasteful number, since it uses less digits than its factorization.

101012232312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13890684 (or 13890677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101012232312 its reverse (213232210101), we get a palindrome (314244442413).

The spelling of 101012232312 in words is "one hundred one billion, twelve million, two hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 13890571 27781142 41671713 55562284 83343426 111124568 125015139 166686852 250030278 333373704 500060556 1000121112 1402947671 2805895342 4208843013 5611790684 8417686026 11223581368 12626529039 16835372052 25253058078 33670744104 50506116156 101012232312