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412231121010 = 23251910915714087
BaseRepresentation
bin1011111111110101110…
…00111011100001110010
31110102001002120200202200
411333322320323201302
523223222131333020
6513213143324030
741532320466642
oct5777270734162
91412032520680
10412231121010
1114990a7a2675
1267a87450616
132cb47635457
1415d48784522
15aaca5be590
hex5ffae3b872

412231121010 has 192 divisors, whose sum is σ = 1145895379200. Its totient is φ = 102522640896.

The previous prime is 412231121009. The next prime is 412231121011. The reversal of 412231121010 is 10121132214.

412231121010 is a `hidden beast` number, since 412 + 2 + 31 + 1 + 210 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (412231121009) and next prime (412231121011).

It is a super-2 number, since 2×4122311210102 (a number of 24 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 (412231121011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29256187 + ... + 29270273.

It is an arithmetic number, because the mean of its divisors is an integer number (5968205100).

Almost surely, 2412231121010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412231121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572947689600).

412231121010 is an abundant number, since it is smaller than the sum of its proper divisors (733664258190).

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

412231121010 is a wasteful number, since it uses less digits than its factorization.

412231121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14385 (or 14382 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 412231121010 its reverse (10121132214), we get a palindrome (422352253224).

The spelling of 412231121010 in words is "four hundred twelve billion, two hundred thirty-one million, one hundred twenty-one thousand, ten".