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103110311004 = 2231710916727767
BaseRepresentation
bin110000000000111011…
…0100111110001011100
3100212010221020111211120
41200001312213301130
53142132214423004
6115211311450540
710310112116421
oct1400166476134
9325127214746
10103110311004
113a80209a868
1217b97526a50
139953007a5c
144dc217dd48
152a3731d3d9
hex1801da7c5c

103110311004 has 96 divisors (see below), whose sum is σ = 258628930560. Its totient is φ = 31858486272.

The previous prime is 103110310993. The next prime is 103110311033. The reversal of 103110311004 is 400113011301.

It is a congruent number.

It is an unprimeable number.

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, 3699529 + ... + 3727295.

It is an arithmetic number, because the mean of its divisors is an integer number (2694051360).

Almost surely, 2103110311004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103110311004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129314465280).

103110311004 is an abundant number, since it is smaller than the sum of its proper divisors (155518619556).

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

103110311004 is a wasteful number, since it uses less digits than its factorization.

103110311004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28067 (or 28065 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 103110311004 its reverse (400113011301), we get a palindrome (503223322305).

The spelling of 103110311004 in words is "one hundred three billion, one hundred ten million, three hundred eleven thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 109 167 204 218 327 334 436 501 654 668 1002 1308 1853 2004 2839 3706 5559 5678 7412 8517 11118 11356 17034 18203 22236 27767 34068 36406 54609 55534 72812 83301 109218 111068 166602 218436 309451 333204 472039 618902 928353 944078 1237804 1416117 1856706 1888156 2832234 3026603 3713412 4637089 5664468 6053206 9079809 9274178 12106412 13911267 18159618 18548356 27822534 36319236 51452251 55645068 78830513 102904502 154356753 157661026 205809004 236491539 308713506 315322052 472983078 505442701 617427012 945966156 1010885402 1516328103 2021770804 3032656206 6065312412 8592525917 17185051834 25777577751 34370103668 51555155502 103110311004