Search a number
-
+
3103021320 = 2335710313583
BaseRepresentation
bin1011100011110100…
…0101100100001000
322000020212211000120
42320331011210020
522323333140240
61231524303240
7136616150250
oct27075054410
98006784016
103103021320
111352635933
12727241b20
133a5b452b9
14216182960
15132643ad0
hexb8f45908

3103021320 has 128 divisors (see below), whose sum is σ = 10652221440. Its totient is φ = 708376320.

The previous prime is 3103021307. The next prime is 3103021321. The reversal of 3103021320 is 231203013.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3103021320.

It is not an unprimeable number, because it can be changed into a prime (3103021321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 864249 + ... + 867831.

It is an arithmetic number, because the mean of its divisors is an integer number (83220480).

Almost surely, 23103021320 is an apocalyptic number.

3103021320 is a gapful number since it is divisible by the number (30) 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 3103021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326110720).

3103021320 is an abundant number, since it is smaller than the sum of its proper divisors (7549200120).

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

3103021320 is a wasteful number, since it uses less digits than its factorization.

3103021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4635 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3103021320 is about 55704.7692751707. The cubic root of 3103021320 is about 1458.5732794264.

Adding to 3103021320 its reverse (231203013), we get a palindrome (3334224333).

The spelling of 3103021320 in words is "three billion, one hundred three million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1031 2062 3093 3583 4124 5155 6186 7166 7217 8248 10310 10749 12372 14332 14434 15465 17915 20620 21498 21651 24744 25081 28664 28868 30930 35830 36085 41240 42996 43302 50162 53745 57736 61860 71660 72170 75243 85992 86604 100324 107490 108255 123720 125405 143320 144340 150486 173208 200648 214980 216510 250810 288680 300972 376215 429960 433020 501620 601944 752430 866040 1003240 1504860 3009720 3694073 7388146 11082219 14776292 18470365 22164438 25858511 29552584 36940730 44328876 51717022 55411095 73881460 77575533 88657752 103434044 110822190 129292555 147762920 155151066 206868088 221644380 258585110 310302132 387877665 443288760 517170220 620604264 775755330 1034340440 1551510660 3103021320