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10001320032 = 2531173137947
BaseRepresentation
bin10010101000010000…
…00000100001100000
3221211000020200212110
421110020000201200
5130440314220112
64332230555320
7502561550304
oct112410004140
927730220773
1010001320032
114272536850
121b31508b40
13c35060262
146ac3c7d04
153d806e13c
hex254200860

10001320032 has 192 divisors, whose sum is σ = 29275271424. Its totient is φ = 2964234240.

The previous prime is 10001320027. The next prime is 10001320057. The reversal of 10001320032 is 23002310001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10560583 + ... + 10561529.

It is an arithmetic number, because the mean of its divisors is an integer number (152475372).

Almost surely, 210001320032 is an apocalyptic number.

10001320032 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 10001320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14637635712).

10001320032 is an abundant number, since it is smaller than the sum of its proper divisors (19273951392).

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

10001320032 is a wasteful number, since it uses less digits than its factorization.

10001320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10001320032 its reverse (23002310001), we get a palindrome (33003630033).

It can be divided in two parts, 10001 and 320032, that added together give a palindrome (330033).

The spelling of 10001320032 in words is "ten billion, one million, three hundred twenty thousand, thirty-two".