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103020003330 = 23567973111699
BaseRepresentation
bin101111111110001111…
…0001000000000000010
3100211220122022101222220
41133330132020000002
53141441110101310
6115154324111510
710304634402636
oct1377436100002
9324818271886
10103020003330
113a766119322
1217b71235596
13993a3a8a6a
144db4192dc6
152a2e430670
hex17fc788002

103020003330 has 128 divisors (see below), whose sum is σ = 254490163200. Its totient is φ = 26681149440.

The previous prime is 103020003319. The next prime is 103020003337. The reversal of 103020003330 is 33300020301.

It is a super-2 number, since 2×1030200033302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103020003337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60634821 + ... + 60636519.

It is an arithmetic number, because the mean of its divisors is an integer number (1988204400).

Almost surely, 2103020003330 is an apocalyptic number.

103020003330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103020003330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127245081600).

103020003330 is an abundant number, since it is smaller than the sum of its proper divisors (151470159870).

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

103020003330 is a wasteful number, since it uses less digits than its factorization.

103020003330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184.

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 103020003330 its reverse (33300020301), we get a palindrome (136320023631).

The spelling of 103020003330 in words is "one hundred three billion, twenty million, three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 97 134 194 201 291 311 335 402 485 582 622 670 933 970 1005 1455 1555 1699 1866 2010 2910 3110 3398 4665 5097 6499 8495 9330 10194 12998 16990 19497 20837 25485 30167 32495 38994 41674 50970 60334 62511 64990 90501 97485 104185 113833 125022 150835 164803 181002 194970 208370 227666 301670 312555 329606 341499 452505 494409 528389 569165 625110 682998 824015 905010 988818 1056778 1138330 1585167 1648030 1707495 2021189 2472045 2641945 3170334 3414990 4042378 4944090 5283890 6063567 7925835 10105945 11041801 12127134 15851670 20211890 22083602 30317835 33125403 35402063 51253733 55209005 60635670 66250806 70804126 102507466 106206189 110418010 153761199 165627015 177010315 212412378 256268665 307522398 331254030 354020630 512537330 531030945 768805995 1062061890 1537611990 3434000111 6868000222 10302000333 17170000555 20604000666 34340001110 51510001665 103020003330