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100311443406 = 23255778712713
BaseRepresentation
bin101110101101100000…
…1110010011111001110
3100120220212200022021200
41131123001302133032
53120414212142111
6114025450210330
710150545125526
oct1353301623716
9316825608250
10100311443406
11395a6216149
12175361239a6
1395c81b6095
144bd8572686
152921759256
hex175b0727ce

100311443406 has 48 divisors (see below), whose sum is σ = 218025469584. Its totient is φ = 33332084352.

The previous prime is 100311443389. The next prime is 100311443423. The reversal of 100311443406 is 604344113001.

100311443406 is a `hidden beast` number, since 1 + 0 + 0 + 311 + 4 + 4 + 340 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (100311443389) and next prime (100311443423).

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 100311443406.

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, 7884106 + ... + 7896818.

It is an arithmetic number, because the mean of its divisors is an integer number (4542197283).

Almost surely, 2100311443406 is an apocalyptic number.

100311443406 is an abundant number, since it is smaller than the sum of its proper divisors (117714026178).

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

100311443406 is a wasteful number, since it uses less digits than its factorization.

100311443406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14065 (or 14062 counting only the distinct ones).

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

Adding to 100311443406 its reverse (604344113001), we get a palindrome (704655556407).

The spelling of 100311443406 in words is "one hundred billion, three hundred eleven million, four hundred forty-three thousand, four hundred six".

Divisors: 1 2 3 6 9 18 557 787 1114 1574 1671 2361 3342 4722 5013 7083 10026 12713 14166 25426 38139 76278 114417 228834 438359 876718 1315077 2630154 3945231 7081141 7890462 10005131 14162282 20010262 21243423 30015393 42486846 60030786 63730269 90046179 127460538 180092358 5572857967 11145715934 16718573901 33437147802 50155721703 100311443406