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10343041000 = 235339726053
BaseRepresentation
bin10011010000111111…
…00100011111101000
3222200211020220220121
421220133210133220
5132140304303000
64430155133024
7514211253325
oct115037443750
928624226817
1010343041000
114428416876
122007a44174
13c8aaa8006
1470193bb4c
1540806eb1a
hex2687e47e8

10343041000 has 64 divisors (see below), whose sum is σ = 24264611280. Its totient is φ = 4126636800.

The previous prime is 10343040997. The next prime is 10343041003. The reversal of 10343041000 is 14034301.

It is an interprime number because it is at equal distance from previous prime (10343040997) and next prime (10343041003).

It can be written as a sum of positive squares in 8 ways, for example, as 1985058916 + 8357982084 = 44554^2 + 91422^2 .

It is not an unprimeable number, because it can be changed into a prime (10343041003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383974 + ... + 410026.

Almost surely, 210343041000 is an apocalyptic number.

10343041000 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 10343041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12132305640).

10343041000 is an abundant number, since it is smaller than the sum of its proper divisors (13921570280).

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

10343041000 is a wasteful number, since it uses less digits than its factorization.

10343041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26471 (or 26457 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10343041000 its reverse (14034301), we get a palindrome (10357075301).

The spelling of 10343041000 in words is "ten billion, three hundred forty-three million, forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 397 500 794 1000 1588 1985 3176 3970 7940 9925 15880 19850 26053 39700 49625 52106 79400 99250 104212 130265 198500 208424 260530 397000 521060 651325 1042120 1302650 2605300 3256625 5210600 6513250 10343041 13026500 20686082 26053000 41372164 51715205 82744328 103430410 206860820 258576025 413721640 517152050 1034304100 1292880125 2068608200 2585760250 5171520500 10343041000