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1003110020 = 2251143107991
BaseRepresentation
bin111011110010100…
…011111010000100
32120220112021020222
4323302203322010
54023244010040
6243312043512
733600203003
oct7362437204
92526467228
101003110020
11475258450
1223bb33598
1312ca88933
149731ac3a
155d0e7bb5
hex3bca3e84

1003110020 has 96 divisors (see below), whose sum is σ = 2375847936. Its totient is φ = 352598400.

The previous prime is 1003109983. The next prime is 1003110037. The reversal of 1003110020 is 200113001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011725 + ... + 1012715.

It is an arithmetic number, because the mean of its divisors is an integer number (24748416).

Almost surely, 21003110020 is an apocalyptic number.

1003110020 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 1003110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187923968).

1003110020 is an abundant number, since it is smaller than the sum of its proper divisors (1372737916).

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

1003110020 is a wasteful number, since it uses less digits than its factorization.

1003110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1003110020 is about 31671.9121620404. The cubic root of 1003110020 is about 1001.0356004947.

Adding to 1003110020 its reverse (200113001), we get a palindrome (1203223021).

The spelling of 1003110020 in words is "one billion, three million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 107 110 172 214 215 220 428 430 473 535 860 946 991 1070 1177 1892 1982 2140 2354 2365 3964 4601 4708 4730 4955 5885 9202 9460 9910 10901 11770 18404 19820 21802 23005 23540 42613 43604 46010 50611 54505 85226 92020 101222 106037 109010 170452 202444 212074 213065 218020 253055 424148 426130 468743 506110 530185 852260 937486 1012220 1060370 1166407 1874972 2120740 2332814 2343715 4559591 4665628 4687430 5832035 9119182 9374860 11664070 18238364 22797955 23328140 45595910 50155501 91191820 100311002 200622004 250777505 501555010 1003110020