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100021110012 = 22331948743231
BaseRepresentation
bin101110100100110111…
…0010000010011111100
3100120011122100211202000
41131021232100103330
53114320401010022
6113540555302300
710140421256505
oct1351156202374
9316148324660
10100021110012
113946734439a
1217474a4a990
13957ccc1185
144babb97bac
1529060096ac
hex1749b904fc

100021110012 has 48 divisors (see below), whose sum is σ = 272962099200. Its totient is φ = 31585613040.

The previous prime is 100021109987. The next prime is 100021110023. The reversal of 100021110012 is 210011120001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100021109976 and 100021110003.

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, 24369564 + ... + 24373667.

It is an arithmetic number, because the mean of its divisors is an integer number (5686710400).

Almost surely, 2100021110012 is an apocalyptic number.

100021110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100021110012 is an abundant number, since it is smaller than the sum of its proper divisors (172940989188).

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

100021110012 is a wasteful number, since it uses less digits than its factorization.

100021110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48743263 (or 48743255 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100021110012 its reverse (210011120001), we get a palindrome (310032230013).

The spelling of 100021110012 in words is "one hundred billion, twenty-one million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 48743231 97486462 146229693 194972924 292459386 438689079 584918772 877378158 926121389 1316067237 1754756316 1852242778 2632134474 2778364167 3704485556 5264268948 5556728334 8335092501 11113456668 16670185002 25005277503 33340370004 50010555006 100021110012