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100212012 = 22332340343
BaseRepresentation
bin1011111100100…
…01110100101100
320222120022001000
411332101310230
5201123241022
613535520300
72324534205
oct576216454
9228508030
10100212012
115162684a
1229689090
13179b9164
14d4485ac
158be76ac
hex5f91d2c

100212012 has 48 divisors (see below), whose sum is σ = 271111680. Its totient is φ = 31950864.

The previous prime is 100211981. The next prime is 100212043. The reversal of 100212012 is 210212001.

It is an interprime number because it is at equal distance from previous prime (100211981) and next prime (100212043).

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 = 100211985 and 100212003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17688 + ... + 22655.

It is an arithmetic number, because the mean of its divisors is an integer number (5648160).

Almost surely, 2100212012 is an apocalyptic number.

100212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100212012 is an abundant number, since it is smaller than the sum of its proper divisors (170899668).

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

100212012 is a wasteful number, since it uses less digits than its factorization.

100212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40379 (or 40371 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100212012 is about 10010.5949873122. The cubic root of 100212012 is about 464.4866759943.

Adding to 100212012 its reverse (210212001), we get a palindrome (310424013).

The spelling of 100212012 in words is "one hundred million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 40343 80686 121029 161372 242058 363087 484116 726174 927889 1089261 1452348 1855778 2178522 2783667 3711556 4357044 5567334 8351001 11134668 16702002 25053003 33404004 50106006 100212012