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10104120340 = 22517235324379
BaseRepresentation
bin10010110100100000…
…01010010000010100
3222002011200111101021
421122100022100110
5131143123322330
64350342210524
7505250414536
oct113220122024
928064614337
1010104120340
114315570186
121b5ba23a44
13c50444542
146bbd07856
153e20c867a
hex25a40a414

10104120340 has 96 divisors (see below), whose sum is σ = 23886938880. Its totient is φ = 3569719296.

The previous prime is 10104120329. The next prime is 10104120359. The reversal of 10104120340 is 4302140101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402271 + ... + 426649.

It is an arithmetic number, because the mean of its divisors is an integer number (248822280).

Almost surely, 210104120340 is an apocalyptic number.

10104120340 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 10104120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11943469440).

10104120340 is an abundant number, since it is smaller than the sum of its proper divisors (13782818540).

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

10104120340 is a wasteful number, since it uses less digits than its factorization.

10104120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24481 (or 24479 counting only the distinct ones).

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

Adding to 10104120340 its reverse (4302140101), we get a palindrome (14406260441).

The spelling of 10104120340 in words is "ten billion, one hundred four million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 53 68 85 92 106 115 170 212 230 265 340 391 460 530 782 901 1060 1219 1564 1802 1955 2438 3604 3910 4505 4876 6095 7820 9010 12190 18020 20723 24379 24380 41446 48758 82892 97516 103615 121895 207230 243790 414443 414460 487580 560717 828886 1121434 1292087 1657772 2072215 2242868 2584174 2803585 4144430 5168348 5607170 6460435 8288860 9532189 11214340 12920870 19064378 21965479 25841740 29718001 38128756 43930958 47660945 59436002 87861916 95321890 109827395 118872004 148590005 190643780 219654790 297180010 439309580 505206017 594360020 1010412034 2020824068 2526030085 5052060170 10104120340