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101303322012 = 22324199169257
BaseRepresentation
bin101111001011000100…
…1100000010110011100
3100200111000001221221100
41132112021200112130
53124432122301022
6114312121433100
710214251013064
oct1362611402634
9320430057840
10101303322012
1139a650a2232
121777233b790
13972583b7b9
144c901a83a4
15297d8841ac
hex179626059c

101303322012 has 72 divisors (see below), whose sum is σ = 262586443392. Its totient is φ = 32910451200.

The previous prime is 101303322011. The next prime is 101303322019. The reversal of 101303322012 is 210223303101.

101303322012 is a `hidden beast` number, since 1 + 0 + 130 + 332 + 201 + 2 = 666.

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 (101303322011) 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 23 ways as a sum of consecutive naturals, for example, 1428088 + ... + 1497344.

It is an arithmetic number, because the mean of its divisors is an integer number (3647033936).

Almost surely, 2101303322012 is an apocalyptic number.

101303322012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101303322012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131293221696).

101303322012 is an abundant number, since it is smaller than the sum of its proper divisors (161283121380).

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

101303322012 is a wasteful number, since it uses less digits than its factorization.

101303322012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70299 (or 70294 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101303322012 its reverse (210223303101), we get a palindrome (311526625113).

The spelling of 101303322012 in words is "one hundred one billion, three hundred three million, three hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 991 1476 1982 2973 3964 5946 8919 11892 17838 35676 40631 69257 81262 121893 138514 162524 207771 243786 277028 365679 415542 487572 623313 731358 831084 1246626 1462716 2493252 2839537 5679074 8518611 11358148 17037222 25555833 34074444 51111666 68633687 102223332 137267374 205901061 274534748 411802122 617703183 823604244 1235406366 2470812732 2813981167 5627962334 8441943501 11255924668 16883887002 25325830503 33767774004 50651661006 101303322012