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2103141040 = 2457111326263
BaseRepresentation
bin111110101011011…
…0110001010110000
312102120102122010121
41331112312022300
513301401003130
6544405340024
7103055255350
oct17526661260
95376378117
102103141040
1198a193aa0
124a8407614
1327694a770
1415d466b60
15c4987d7a
hex7d5b62b0

2103141040 has 160 divisors (see below), whose sum is σ = 6565579776. Its totient is φ = 605076480.

The previous prime is 2103141037. The next prime is 2103141041. The reversal of 2103141040 is 401413012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2103141041) 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 31 ways as a sum of consecutive naturals, for example, 66949 + ... + 93211.

Almost surely, 22103141040 is an apocalyptic number.

2103141040 is a gapful number since it is divisible by the number (20) 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 2103141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282789888).

2103141040 is an abundant number, since it is smaller than the sum of its proper divisors (4462438736).

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

2103141040 is a wasteful number, since it uses less digits than its factorization.

2103141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26307 (or 26301 counting only the distinct ones).

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

The square root of 2103141040 is about 45860.0156999537. The cubic root of 2103141040 is about 1281.2173152400.

Adding to 2103141040 its reverse (401413012), we get a palindrome (2504554052).

The spelling of 2103141040 in words is "two billion, one hundred three million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 280 286 308 364 385 440 455 520 560 572 616 715 728 770 880 910 1001 1040 1144 1232 1430 1456 1540 1820 2002 2288 2860 3080 3640 4004 5005 5720 6160 7280 8008 10010 11440 16016 20020 26263 40040 52526 80080 105052 131315 183841 210104 262630 288893 341419 367682 420208 525260 577786 682838 735364 919205 1050520 1155572 1365676 1444465 1470728 1707095 1838410 2022251 2101040 2311144 2389933 2731352 2888930 2941456 3414190 3676820 3755609 4044502 4622288 4779866 5462704 5777860 6828380 7353640 7511218 8089004 9559732 10111255 11555720 11949665 13656760 14707280 15022436 16178008 18778045 19119464 20222510 23111440 23899330 26289263 27313520 30044872 32356016 37556090 38238928 40445020 47798660 52578526 60089744 75112180 80890040 95597320 105157052 131446315 150224360 161780080 191194640 210314104 262892630 300448720 420628208 525785260 1051570520 2103141040