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100044202104 = 233271118045491
BaseRepresentation
bin101110100101100011…
…0010110000001111000
3100120020020211001010200
41131023012112001320
53114342303431404
6113543142242200
710141121454420
oct1351306260170
9316206731120
10100044202104
1139479386870
1217480726360
139584a17b32
144bb0c89480
15290806b839
hex174b196078

100044202104 has 96 divisors (see below), whose sum is σ = 337811610240. Its totient is φ = 25985505600.

The previous prime is 100044202081. The next prime is 100044202127. The reversal of 100044202104 is 401202440001.

100044202104 is a `hidden beast` number, since 10 + 0 + 0 + 442 + 0 + 210 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (100044202081) and next prime (100044202127).

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

It is a congruent number.

It is an unprimeable number.

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, 9017202 + ... + 9028289.

It is an arithmetic number, because the mean of its divisors is an integer number (3518870940).

Almost surely, 2100044202104 is an apocalyptic number.

100044202104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100044202104 is an abundant number, since it is smaller than the sum of its proper divisors (237767408136).

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

100044202104 is a wasteful number, since it uses less digits than its factorization.

100044202104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18045521 (or 18045514 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100044202104 its reverse (401202440001), we get a palindrome (501246642105).

The spelling of 100044202104 in words is "one hundred billion, forty-four million, two hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 18045491 36090982 54136473 72181964 108272946 126318437 144363928 162409419 198500401 216545892 252636874 324818838 378955311 397000802 433091784 505273748 595501203 649637676 757910622 794001604 1010547496 1136865933 1191002406 1299275352 1389502807 1515821244 1588003208 1786503609 2273731866 2382004812 2779005614 3031642488 3573007218 4168508421 4547463732 4764009624 5558011228 7146014436 8337016842 9094927464 11116022456 12505525263 14292028872 16674033684 25011050526 33348067368 50022101052 100044202104