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81210012 = 223134112697
BaseRepresentation
bin1001101011100…
…10101010011100
312122210220012020
410311302222130
5131242210022
612020340140
72004162612
oct465625234
9178726166
1081210012
1141928314
1223244650
1313a95080
14aadd6b2
1571e235c
hex4d72a9c

81210012 has 48 divisors (see below), whose sum is σ = 209059872. Its totient is φ = 24376320.

The previous prime is 81210007. The next prime is 81210067. The reversal of 81210012 is 21001218.

It is a junction number, because it is equal to n+sod(n) for n = 81209973 and 81210000.

It is a congruent number.

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, 48 + ... + 12744.

It is an arithmetic number, because the mean of its divisors is an integer number (4355414).

Almost surely, 281210012 is an apocalyptic number.

81210012 is a gapful number since it is divisible by the number (82) 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 81210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104529936).

81210012 is an abundant number, since it is smaller than the sum of its proper divisors (127849860).

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

81210012 is a wasteful number, since it uses less digits than its factorization.

81210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12758 (or 12756 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 81210012 is about 9011.6597805288. The cubic root of 81210012 is about 433.0484863042.

The spelling of 81210012 in words is "eighty-one million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1599 2132 3198 6396 12697 25394 38091 50788 76182 152364 165061 330122 495183 520577 660244 990366 1041154 1561731 1980732 2082308 3123462 6246924 6767501 13535002 20302503 27070004 40605006 81210012