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100021212312 = 23372027293717
BaseRepresentation
bin101110100100110111…
…0101001010010011000
3100120011122120001001220
41131021232221102120
53114320412243222
6113541001412040
710140422163660
oct1351156512230
9316148501056
10100021212312
113946740423a
1217474a9a020
1395800288c8
144babbc31a0
152906029b5c
hex1749ba9498

100021212312 has 64 divisors (see below), whose sum is σ = 285916849920. Its totient is φ = 28563293568.

The previous prime is 100021212311. The next prime is 100021212353. The reversal of 100021212312 is 213212120001.

It is a junction number, because it is equal to n+sod(n) for n = 100021212291 and 100021212300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021212311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193678 + ... + 487394.

It is an arithmetic number, because the mean of its divisors is an integer number (4467450780).

Almost surely, 2100021212312 is an apocalyptic number.

100021212312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100021212312 is an abundant number, since it is smaller than the sum of its proper divisors (185895637608).

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

100021212312 is a wasteful number, since it uses less digits than its factorization.

100021212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295760 (or 295756 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100021212312 its reverse (213212120001), we get a palindrome (313233332313).

The spelling of 100021212312 in words is "one hundred billion, twenty-one million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2027 4054 6081 8108 12162 14189 16216 24324 28378 42567 48648 56756 85134 113512 170268 293717 340536 587434 881151 1174868 1762302 2056019 2349736 3524604 4112038 6168057 7049208 8224076 12336114 16448152 24672228 49344456 595364359 1190728718 1786093077 2381457436 3572186154 4167550513 4762914872 7144372308 8335101026 12502651539 14288744616 16670202052 25005303078 33340404104 50010606156 100021212312