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10042041310 = 2571959127973
BaseRepresentation
bin10010101101000110…
…10110001111011110
3221220211212112221221
421112203112033132
5131031230310220
64340243443554
7503564641240
oct112643261736
927824775857
1010042041310
11429351a2a4
121b430865ba
13c4061a1a2
146b3988090
153db9149aa
hex2568d63de

10042041310 has 64 divisors (see below), whose sum is σ = 22113907200. Its totient is φ = 3206466432.

The previous prime is 10042041301. The next prime is 10042041311. The reversal of 10042041310 is 1314024001.

It is a super-2 number, since 2×100420413102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042041311) 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 31 ways as a sum of consecutive naturals, for example, 14484 + ... + 142456.

It is an arithmetic number, because the mean of its divisors is an integer number (345529800).

Almost surely, 210042041310 is an apocalyptic number.

10042041310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10042041310 is an abundant number, since it is smaller than the sum of its proper divisors (12071865890).

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

10042041310 is a wasteful number, since it uses less digits than its factorization.

10042041310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128065.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10042041310 its reverse (1314024001), we get a palindrome (11356065311).

The spelling of 10042041310 in words is "ten billion, forty-two million, forty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 59 70 95 118 133 190 266 295 413 590 665 826 1121 1330 2065 2242 4130 5605 7847 11210 15694 39235 78470 127973 255946 639865 895811 1279730 1791622 2431487 4479055 4862974 7550407 8958110 12157435 15100814 17020409 24314870 34040818 37752035 52852849 75504070 85102045 105705698 143457733 170204090 264264245 286915466 528528490 717288665 1004204131 1434577330 2008408262 5021020655 10042041310