Search a number
-
+
103013303008 = 25711161325919
BaseRepresentation
bin101111111110000010…
…0100100001011100000
3100211220011200222212211
41133330010210023200
53141432401144013
6115153524331504
710304523425320
oct1377404441340
9324804628784
10103013303008
113a762362270
1217b6ab43b94
139938ba1085
144db332b280
152a2da5a23d
hex17fc1242e0

103013303008 has 96 divisors (see below), whose sum is σ = 253017354240. Its totient is φ = 40108623360.

The previous prime is 103013302981. The next prime is 103013303047. The reversal of 103013303008 is 800303310301.

It is a super-2 number, since 2×1030133030082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a self number, because there is not a number n which added to its sum of digits gives 103013303008.

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 15 ways as a sum of consecutive naturals, for example, 3961473 + ... + 3987391.

It is an arithmetic number, because the mean of its divisors is an integer number (2635597440).

Almost surely, 2103013303008 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 103013303008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126508677120).

103013303008 is an abundant number, since it is smaller than the sum of its proper divisors (150004051232).

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

103013303008 is a wasteful number, since it uses less digits than its factorization.

103013303008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27560 (or 27552 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 103013303008 its reverse (800303310301), we get a palindrome (903316613309).

The spelling of 103013303008 in words is "one hundred three billion, thirteen million, three hundred three thousand, eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 1613 2464 3226 6452 11291 12904 17743 22582 25808 25919 35486 45164 51616 51838 70972 90328 103676 124201 141944 180656 181433 207352 248402 283888 285109 361312 362866 414704 496804 567776 570218 725732 829408 993608 1140436 1451464 1987216 1995763 2280872 2902928 3974432 3991526 4561744 5805856 7983052 9123488 15966104 31932208 41807347 63864416 83614694 167229388 292651429 334458776 459880817 585302858 668917552 919761634 1170605716 1337835104 1839523268 2341211432 3219165719 3679046536 4682422864 6438331438 7358093072 9364845728 12876662876 14716186144 25753325752 51506651504 103013303008