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10213424424 = 23327173138453
BaseRepresentation
bin10011000001100010…
…00111110100101000
3222100210100201101200
421200301013310220
5131404114040144
64405245044200
7511045450410
oct114061076450
928323321350
1010213424424
114371236a35
121b90556660
13c69c94c08
146cc63b640
153eb9b9c69
hex260c47d28

10213424424 has 192 divisors, whose sum is σ = 34553226240. Its totient is φ = 2657802240.

The previous prime is 10213424411. The next prime is 10213424447. The reversal of 10213424424 is 42442431201.

10213424424 is a `hidden beast` number, since 1 + 0 + 213 + 4 + 2 + 442 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246382 + ... + 284834.

It is an arithmetic number, because the mean of its divisors is an integer number (179964720).

Almost surely, 210213424424 is an apocalyptic number.

10213424424 is a gapful number since it is divisible by the number (14) 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 10213424424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17276613120).

10213424424 is an abundant number, since it is smaller than the sum of its proper divisors (24339801816).

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

10213424424 is a wasteful number, since it uses less digits than its factorization.

10213424424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38520 (or 38513 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10213424424 its reverse (42442431201), we get a palindrome (52655855625).

The spelling of 10213424424 in words is "ten billion, two hundred thirteen million, four hundred twenty-four thousand, four hundred twenty-four".