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13103002000 = 245311601991
BaseRepresentation
bin11000011001111111…
…11111000110010000
31020211011121110122101
430030333333012100
5203313332031000
610004110450144
7642463452004
oct141477770620
936734543571
1013103002000
115614337380
122658203954
13130a826a2a
148c42dc704
1551a4eae6a
hex30cfff190

13103002000 has 160 divisors (see below), whose sum is σ = 34655781888. Its totient is φ = 4752000000.

The previous prime is 13103001959. The next prime is 13103002001. The reversal of 13103002000 is 20030131.

It is a super-2 number, since 2×131030020002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (13103002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13221505 + ... + 13222495.

Almost surely, 213103002000 is an apocalyptic number.

13103002000 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 13103002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17327890944).

13103002000 is an abundant number, since it is smaller than the sum of its proper divisors (21552779888).

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

13103002000 is a wasteful number, since it uses less digits than its factorization.

13103002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 13103002000 its reverse (20030131), we get a palindrome (13123032131).

The spelling of 13103002000 in words is "thirteen billion, one hundred three million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 601 880 991 1000 1100 1202 1375 1982 2000 2200 2404 2750 3005 3964 4400 4808 4955 5500 6010 6611 7928 9616 9910 10901 11000 12020 13222 15025 15856 19820 21802 22000 24040 24775 26444 30050 33055 39640 43604 48080 49550 52888 54505 60100 66110 75125 79280 87208 99100 105776 109010 120200 123875 132220 150250 165275 174416 198200 218020 240400 247750 264440 272525 300500 330550 396400 436040 495500 528880 545050 595591 601000 661100 826375 872080 991000 1090100 1191182 1202000 1322200 1362625 1652750 1982000 2180200 2382364 2644400 2725250 2977955 3305500 4360400 4764728 5450500 5955910 6551501 6611000 9529456 10901000 11911820 13103002 13222000 14889775 21802000 23823640 26206004 29779550 32757505 47647280 52412008 59559100 65515010 74448875 104824016 119118200 131030020 148897750 163787525 238236400 262060040 297795500 327575050 524120080 595591000 655150100 818937625 1191182000 1310300200 1637875250 2620600400 3275750500 6551501000 13103002000