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1024221341412 = 2233371092638941
BaseRepresentation
bin11101110011110000101…
…10010110011011100100
310121220200202011001112000
432321320112112123210
5113240101130411122
62102304253525300
7133666105520523
oct16717026263344
93556622131460
101024221341412
11365408278225
121466017a3830
13757783b2019
143780321c4ba
151b997dca0ac
hexee785966e4

1024221341412 has 192 divisors, whose sum is σ = 2762949235200. Its totient is φ = 327844247040.

The previous prime is 1024221341411. The next prime is 1024221341419. The reversal of 1024221341412 is 2141431224201.

1024221341412 is a `hidden beast` number, since 1 + 0 + 24 + 2 + 213 + 414 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1024221341411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114548862 + ... + 114557802.

It is an arithmetic number, because the mean of its divisors is an integer number (14390360600).

Almost surely, 21024221341412 is an apocalyptic number.

1024221341412 is a gapful number since it is divisible by the number (12) 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 1024221341412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381474617600).

1024221341412 is an abundant number, since it is smaller than the sum of its proper divisors (1738727893788).

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

1024221341412 is a wasteful number, since it uses less digits than its factorization.

1024221341412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9363 (or 9355 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1024221341412 its reverse (2141431224201), we get a palindrome (3165652565613).

The spelling of 1024221341412 in words is "one trillion, twenty-four billion, two hundred twenty-one million, three hundred forty-one thousand, four hundred twelve".