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100003124412 = 223253121743067
BaseRepresentation
bin101110100100010100…
…1101001010010111100
3100120010101112002010200
41131020221221102330
53114301244440122
6113535114003500
710140112350402
oct1351051512274
9316111462120
10100003124412
113945817a564
121746aa16590
1395793648c9
144ba9635472
1529046555ac
hex1748a694bc

100003124412 has 72 divisors (see below), whose sum is σ = 257772833136. Its totient is φ = 32677791744.

The previous prime is 100003124407. The next prime is 100003124423. The reversal of 100003124412 is 214421300001.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2300503 + ... + 2343569.

It is an arithmetic number, because the mean of its divisors is an integer number (3580178238).

Almost surely, 2100003124412 is an apocalyptic number.

100003124412 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 100003124412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128886416568).

100003124412 is an abundant number, since it is smaller than the sum of its proper divisors (157769708724).

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

100003124412 is a wasteful number, since it uses less digits than its factorization.

100003124412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44347 (or 44342 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100003124412 its reverse (214421300001), we get a palindrome (314424424413).

The spelling of 100003124412 in words is "one hundred billion, three million, one hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1217 1908 2434 3651 4868 7302 10953 14604 21906 43067 43812 64501 86134 129002 129201 172268 193503 258004 258402 387006 387603 516804 580509 774012 775206 1161018 1550412 2282551 2322036 4565102 6847653 9130204 13695306 20542959 27390612 41085918 52412539 82171836 104825078 157237617 209650156 314475234 471712851 628950468 943425702 1886851404 2777864567 5555729134 8333593701 11111458268 16667187402 25000781103 33334374804 50001562206 100003124412