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10011424332 = 22371331377993
BaseRepresentation
bin10010101001011101…
…00011011001001100
3221211201021001100210
421110232203121030
5131000411034312
64333231322420
7503043463020
oct112456433114
927751231323
1010011424332
114278208308
121b34980410
13c3718a430
146ad898380
153d8db7e3c
hex254ba364c

10011424332 has 192 divisors, whose sum is σ = 30484127744. Its totient is φ = 2485831680.

The previous prime is 10011424331. The next prime is 10011424343. The reversal of 10011424332 is 23342411001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10011424299 and 10011424308.

It is not an unprimeable number, because it can be changed into a prime (10011424331) 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, 1248528 + ... + 1256520.

Almost surely, 210011424332 is an apocalyptic number.

10011424332 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 10011424332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15242063872).

10011424332 is an abundant number, since it is smaller than the sum of its proper divisors (20472703412).

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

10011424332 is a wasteful number, since it uses less digits than its factorization.

10011424332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8088 (or 8086 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10011424332 its reverse (23342411001), we get a palindrome (33353835333).

The spelling of 10011424332 in words is "ten billion, eleven million, four hundred twenty-four thousand, three hundred thirty-two".