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100343104312 = 23118317379411
BaseRepresentation
bin101110101110011101…
…0100100001100111000
3100121000002020211212211
41131130322210030320
53121000313314222
6114032540544504
710151411212423
oct1353472441470
9317002224784
10100343104312
1139612080490
1217544852134
139601920049
144bdc8549ba
152924410277
hex175cea4338

100343104312 has 64 divisors (see below), whose sum is σ = 208923442560. Its totient is φ = 44799945600.

The previous prime is 100343104273. The next prime is 100343104331. The reversal of 100343104312 is 213401343001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1223887 + ... + 1303297.

It is an arithmetic number, because the mean of its divisors is an integer number (3264428790).

Almost surely, 2100343104312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100343104312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104461721280).

100343104312 is an abundant number, since it is smaller than the sum of its proper divisors (108580338248).

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

100343104312 is a wasteful number, since it uses less digits than its factorization.

100343104312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79684 (or 79680 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 100343104312 its reverse (213401343001), we get a palindrome (313744447313).

The spelling of 100343104312 in words is "one hundred billion, three hundred forty-three million, one hundred four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 83 88 166 173 332 346 664 692 913 1384 1826 1903 3652 3806 7304 7612 14359 15224 28718 57436 79411 114872 157949 158822 315898 317644 631796 635288 873521 1263592 1747042 3494084 6591113 6988168 13182226 13738103 26364452 27476206 52728904 54952412 72502243 109904824 145004486 151119133 290008972 302238266 580017944 604476532 1140262549 1208953064 2280525098 4561050196 9122100392 12542888039 25085776078 50171552156 100343104312