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424525101000 = 2335371113373379
BaseRepresentation
bin1100010110101111010…
…10101111011111001000
31111120202212212120211220
412023113222233133020
523423411411213000
6523005114122040
742446061551130
oct6132752573710
91446685776756
10424525101000
11154049396810
126a338720320
133105666a920
1416793449ac0
15b099a601a0
hex62d7aaf7c8

424525101000 has 1024 divisors, whose sum is σ = 1787846860800. Its totient is φ = 80994816000.

The previous prime is 424525100983. The next prime is 424525101017. The reversal of 424525101000 is 101525424.

It is an interprime number because it is at equal distance from previous prime (424525100983) and next prime (424525101017).

It is a super-2 number, since 2×4245251010002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1120118811 + ... + 1120119189.

It is an arithmetic number, because the mean of its divisors is an integer number (1745944200).

Almost surely, 2424525101000 is an apocalyptic number.

424525101000 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 424525101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893923430400).

424525101000 is an abundant number, since it is smaller than the sum of its proper divisors (1363321759800).

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

424525101000 is a wasteful number, since it uses less digits than its factorization.

424525101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 424525101000 its reverse (101525424), we get a palindrome (424626626424).

It can be divided in two parts, 424525 and 101000, that added together give a palindrome (525525).

The spelling of 424525101000 in words is "four hundred twenty-four billion, five hundred twenty-five million, one hundred one thousand".