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10103463150 = 23521119331727
BaseRepresentation
bin10010110100011011…
…01001110011101110
3222002010110002212220
421122031221303232
5131142441310100
64350320140210
7505242006534
oct113215516356
928063402786
1010103463150
114315161450
121b5b767666
13c50274381
146bbbb6154
153e1ee8aa0
hex25a369cee

10103463150 has 96 divisors (see below), whose sum is σ = 27476955648. Its totient is φ = 2436556800.

The previous prime is 10103463143. The next prime is 10103463151. The reversal of 10103463150 is 5136430101.

It is a self number, because there is not a number n which added to its sum of digits gives 10103463150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103463151) 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 47 ways as a sum of consecutive naturals, for example, 302587 + ... + 334313.

It is an arithmetic number, because the mean of its divisors is an integer number (286218288).

Almost surely, 210103463150 is an apocalyptic number.

10103463150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103463150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13738477824).

10103463150 is an abundant number, since it is smaller than the sum of its proper divisors (17373492498).

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

10103463150 is a wasteful number, since it uses less digits than its factorization.

10103463150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31946 (or 31941 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 10103463150 its reverse (5136430101), we get a palindrome (15239893251).

The spelling of 10103463150 in words is "ten billion, one hundred three million, four hundred sixty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 193 275 330 386 550 579 825 965 1158 1650 1930 2123 2895 4246 4825 5790 6369 9650 10615 12738 14475 21230 28950 31727 31845 53075 63454 63690 95181 106150 158635 159225 190362 317270 318450 348997 475905 697994 793175 951810 1046991 1586350 1744985 2093982 2379525 3489970 4759050 5234955 6123311 8724925 10469910 12246622 17449850 18369933 26174775 30616555 36739866 52349550 61233110 67356421 91849665 134712842 153082775 183699330 202069263 306165550 336782105 404138526 459248325 673564210 918496650 1010346315 1683910525 2020692630 3367821050 5051731575 10103463150