Search a number
-
+
10105130500 = 2253232932999
BaseRepresentation
bin10010110100101000…
…00000111000000100
3222002020120211001121
421122110000320010
5131143403134000
64350420003324
7505262122603
oct113224007004
928066524047
1010105130500
1143160a0123
121b60230544
13c5070927a
146bc0cba3a
153e2227b1a
hex25a500e04

10105130500 has 96 divisors (see below), whose sum is σ = 23115456000. Its totient is φ = 3851830400.

The previous prime is 10105130473. The next prime is 10105130509. The reversal of 10105130500 is 503150101.

It is a super-2 number, since 2×101051305002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10105130509) by changing a digit.

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, 3368001 + ... + 3370999.

It is an arithmetic number, because the mean of its divisors is an integer number (240786000).

Almost surely, 210105130500 is an apocalyptic number.

10105130500 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 10105130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557728000).

10105130500 is an abundant number, since it is smaller than the sum of its proper divisors (13010325500).

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

10105130500 is a wasteful number, since it uses less digits than its factorization.

10105130500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 16.

Adding to 10105130500 its reverse (503150101), we get a palindrome (10608280601).

The spelling of 10105130500 in words is "ten billion, one hundred five million, one hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 125 230 250 293 460 500 575 586 1150 1172 1465 2300 2875 2930 2999 5750 5860 5998 6739 7325 11500 11996 13478 14650 14995 26956 29300 29990 33695 36625 59980 67390 68977 73250 74975 134780 137954 146500 149950 168475 275908 299900 336950 344885 374875 673900 689770 749750 842375 878707 1379540 1499500 1684750 1724425 1757414 3369500 3448850 3514828 4393535 6897700 8622125 8787070 17244250 17574140 20210261 21967675 34488500 40420522 43935350 80841044 87870700 101051305 109838375 202102610 219676750 404205220 439353500 505256525 1010513050 2021026100 2526282625 5052565250 10105130500