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10132443340 = 2253794114551
BaseRepresentation
bin10010110111111000…
…01101000011001100
3222011010222110020021
421123330031003030
5131222401141330
64353233231524
7506043230065
oct113374150314
928133873207
1010132443340
11432a555718
121b694025a4
13c56280106
146c199b56c
153e482067a
hex25bf0d0cc

10132443340 has 48 divisors (see below), whose sum is σ = 21877942464. Its totient is φ = 3938976000.

The previous prime is 10132443319. The next prime is 10132443353. The reversal of 10132443340 is 4334423101.

10132443340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689065 + ... + 703615.

It is an arithmetic number, because the mean of its divisors is an integer number (455790468).

Almost surely, 210132443340 is an apocalyptic number.

10132443340 is a gapful number since it is divisible by the number (10) 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 10132443340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10938971232).

10132443340 is an abundant number, since it is smaller than the sum of its proper divisors (11745499124).

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

10132443340 is a wasteful number, since it uses less digits than its factorization.

10132443340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15538 (or 15536 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 10132443340 its reverse (4334423101), we get a palindrome (14466866441).

The spelling of 10132443340 in words is "ten billion, one hundred thirty-two million, four hundred forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 941 1882 3764 4705 9410 14551 18820 29102 34817 58204 69634 72755 139268 145510 174085 291020 348170 538387 696340 1076774 2153548 2691935 5383870 10767740 13692491 27384982 54769964 68462455 136924910 273849820 506622167 1013244334 2026488668 2533110835 5066221670 10132443340