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10421223120 = 24325711187973
BaseRepresentation
bin10011011010010011…
…10011111011010000
3222220021100222121200
421231021303323100
5132320313114440
64442030551200
7516150635460
oct115511637320
928807328550
1010421223120
1144685661a0
12202a068500
13ca104cb19
1470c08dba0
1540ed64c30
hex26d273ed0

10421223120 has 240 divisors, whose sum is σ = 43634028672. Its totient is φ = 2165437440.

The previous prime is 10421223101. The next prime is 10421223121. The reversal of 10421223120 is 2132212401.

It is a happy number.

10421223120 is a `hidden beast` number, since 1 + 0 + 421 + 223 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 10421223093 and 10421223102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10421223121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38547 + ... + 149426.

Almost surely, 210421223120 is an apocalyptic number.

10421223120 is a gapful number since it is divisible by the number (10) 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 10421223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21817014336).

10421223120 is an abundant number, since it is smaller than the sum of its proper divisors (33212805552).

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

10421223120 is a wasteful number, since it uses less digits than its factorization.

10421223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188010 (or 188001 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10421223120 its reverse (2132212401), we get a palindrome (12553435521).

The spelling of 10421223120 in words is "ten billion, four hundred twenty-one million, two hundred twenty-three thousand, one hundred twenty".