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10343140020 = 223352343107181
BaseRepresentation
bin10011010000111111…
…11100101010110100
3222200211102221202000
421220133330222310
5132140320440040
64430201215300
7514212145113
oct115037745264
928624387660
1010343140020
114428484204
122007a91530
13c8ab110c5
14701965c7a
1540808e130
hex2687fcab4

10343140020 has 384 divisors, whose sum is σ = 34871316480. Its totient is φ = 2538708480.

The previous prime is 10343140013. The next prime is 10343140021. The reversal of 10343140020 is 2004134301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10343139975 and 10343140002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10343140021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57144330 + ... + 57144510.

It is an arithmetic number, because the mean of its divisors is an integer number (90810720).

Almost surely, 210343140020 is an apocalyptic number.

10343140020 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 10343140020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17435658240).

10343140020 is an abundant number, since it is smaller than the sum of its proper divisors (24528176460).

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

10343140020 is a wasteful number, since it uses less digits than its factorization.

10343140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10343140020 its reverse (2004134301), we get a palindrome (12347274321).

The spelling of 10343140020 in words is "ten billion, three hundred forty-three million, one hundred forty thousand, twenty".