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10342101014 = 27419263431
BaseRepresentation
bin10011010000110111…
…11111000000010110
3222200202111011111022
421220123333000112
5132140034213024
64430123041142
7514200260000
oct115033770026
928622434438
1010342101014
114427934623
1220076701b2
13c8a8391cb
14701775370
15407e3635e
hex2686ff016

10342101014 has 80 divisors (see below), whose sum is σ = 19166906880. Its totient is φ = 4173377040.

The previous prime is 10342101013. The next prime is 10342101037. The reversal of 10342101014 is 41010124301.

It is a happy number.

10342101014 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10342100983 and 10342101001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10342101013) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 23995379 + ... + 23995809.

It is an arithmetic number, because the mean of its divisors is an integer number (239586336).

Almost surely, 210342101014 is an apocalyptic number.

10342101014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10342101014 is a deficient number, since it is larger than the sum of its proper divisors (8824805866).

10342101014 is an equidigital number, since it uses as much as digits as its factorization.

10342101014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10342101014 its reverse (41010124301), we get a palindrome (51352225315).

The spelling of 10342101014 in words is "ten billion, three hundred forty-two million, one hundred one thousand, fourteen".

Divisors: 1 2 7 14 19 38 49 98 133 263 266 343 431 526 686 862 931 1841 1862 2401 3017 3682 4802 4997 6034 6517 8189 9994 12887 13034 16378 21119 25774 34979 42238 45619 57323 69958 90209 91238 113353 114646 147833 180418 226706 244853 295666 401261 489706 631463 793471 802522 1034831 1262926 1586942 1713971 2069662 2153707 2808827 3427942 4307414 5554297 5617654 11108594 11997797 15075949 19661789 23995594 30151898 38880079 39323578 77760158 105531643 211063286 272160553 544321106 738721501 1477443002 5171050507 10342101014