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421401100120 = 2357112131019473
BaseRepresentation
bin1100010000111010111…
…01100111111101011000
31111021201011111220021121
412020131131213331120
523401012140200440
6521331120015024
742305466151630
oct6103535477530
91437634456247
10421401100120
11152795a31700
1269806461474
133097938b3b0
14165785a56c0
15ae6567534a
hex621d767f58

421401100120 has 384 divisors, whose sum is σ = 1295524782720. Its totient is φ = 120029184000.

The previous prime is 421401100079. The next prime is 421401100123. The reversal of 421401100120 is 21001104124.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 421401100094 and 421401100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421401100123) 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, 44479704 + ... + 44489176.

It is an arithmetic number, because the mean of its divisors is an integer number (3373762455).

Almost surely, 2421401100120 is an apocalyptic number.

421401100120 is a gapful number since it is divisible by the number (40) 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 421401100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647762391360).

421401100120 is an abundant number, since it is smaller than the sum of its proper divisors (874123682600).

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

421401100120 is a wasteful number, since it uses less digits than its factorization.

421401100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9627 (or 9612 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 421401100120 its reverse (21001104124), we get a palindrome (442402204244).

The spelling of 421401100120 in words is "four hundred twenty-one billion, four hundred one million, one hundred thousand, one hundred twenty".