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10412210412 = 2232401721267
BaseRepresentation
bin10011011001001110…
…11011100011101100
3222212122102002111200
421230213123203230
5132311011213122
64441105445500
7516011220402
oct115447334354
928778362450
1010412210412
11446346a87a
122027040890
13c9c215766
1470abc5472
1540e1845ac
hex26c9db8ec

10412210412 has 36 divisors (see below), whose sum is σ = 26385425976. Its totient is φ = 3462076800.

The previous prime is 10412210411. The next prime is 10412210449. The reversal of 10412210412 is 21401221401.

10412210412 is a `hidden beast` number, since 1 + 0 + 41 + 2 + 210 + 412 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×104122104122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10412210411) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 346198 + ... + 375069.

Almost surely, 210412210412 is an apocalyptic number.

10412210412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10412210412 is an abundant number, since it is smaller than the sum of its proper divisors (15973215564).

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

10412210412 is a wasteful number, since it uses less digits than its factorization.

10412210412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721678 (or 721673 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10412210412 its reverse (21401221401), we get a palindrome (31813431813).

The spelling of 10412210412 in words is "ten billion, four hundred twelve million, two hundred ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 401 802 1203 1604 2406 3609 4812 7218 14436 721267 1442534 2163801 2885068 4327602 6491403 8655204 12982806 25965612 289228067 578456134 867684201 1156912268 1735368402 2603052603 3470736804 5206105206 10412210412