Search a number
-
+
3103221021320 = 235760132295711
BaseRepresentation
bin101101001010000110011…
…000101111101010001000
3101222122221210211110021202
4231022012120233222020
5401320344040140240
610333333340123332
7440125465314230
oct55120630575210
911878853743252
103103221021320
11a97083402872
12421512536548
1319682b75b404
14aa2a7a54cc0
1555ac6630315
hex2d28662fa88

3103221021320 has 128 divisors (see below), whose sum is σ = 7996863974400. Its totient is φ = 1061676288000.

The previous prime is 3103221021283. The next prime is 3103221021331. The reversal of 3103221021320 is 231201223013.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3103221021292 and 3103221021301.

It is an unprimeable number.

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, 543373265 + ... + 543378975.

It is an arithmetic number, because the mean of its divisors is an integer number (62475499800).

Almost surely, 23103221021320 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 3103221021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998431987200).

3103221021320 is an abundant number, since it is smaller than the sum of its proper divisors (4893642953080).

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

3103221021320 is a wasteful number, since it uses less digits than its factorization.

3103221021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9559 (or 9555 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 3103221021320 its reverse (231201223013), we get a palindrome (3334422244333).

The spelling of 3103221021320 in words is "three trillion, one hundred three billion, two hundred twenty-one million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 601 1202 2404 3005 3229 4207 4808 5711 6010 6458 8414 11422 12020 12916 16145 16828 21035 22603 22844 24040 25832 28555 32290 33656 39977 42070 45206 45688 57110 64580 79954 84140 90412 113015 114220 129160 159908 168280 180824 199885 226030 228440 319816 399770 452060 799540 904120 1599080 1940629 3432311 3881258 6864622 7762516 9703145 13584403 13729244 15525032 17161555 18440819 19406290 24026177 27168806 27458488 34323110 36881638 38812580 48052354 54337612 67922015 68646220 73763276 77625160 92204095 96104708 108675224 120130885 129085733 135844030 137292440 147526552 184408190 192209416 240261770 258171466 271688060 368816380 480523540 516342932 543376120 645428665 737632760 961047080 1032685864 1290857330 2581714660 5163429320 11082932219 22165864438 44331728876 55414661095 77580525533 88663457752 110829322190 155161051066 221658644380 310322102132 387902627665 443317288760 620644204264 775805255330 1551610510660 3103221021320