Search a number
-
+
3020212302100 = 2252797101440399
BaseRepresentation
bin101011111100110010101…
…011100111000100010100
3101200201200210021121102121
4223330302223213010110
5343440343322131400
610231244423145324
7431126450663410
oct53746253470424
911621623247377
103020212302100
11a64957120484
12409406ba5244
1318ba601ab486
14a6271483d40
1553868e4921a
hex2bf32ae7114

3020212302100 has 144 divisors (see below), whose sum is σ = 7642285862400. Its totient is φ = 1014676992000.

The previous prime is 3020212302097. The next prime is 3020212302103. The reversal of 3020212302100 is 12032120203.

It is an interprime number because it is at equal distance from previous prime (3020212302097) and next prime (3020212302103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020212302103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6637701 + ... + 7078099.

It is an arithmetic number, because the mean of its divisors is an integer number (53071429600).

Almost surely, 23020212302100 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 3020212302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821142931200).

3020212302100 is an abundant number, since it is smaller than the sum of its proper divisors (4622073560300).

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

3020212302100 is a wasteful number, since it uses less digits than its factorization.

3020212302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440618 (or 440611 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 3020212302100 its reverse (12032120203), we get a palindrome (3032244422303).

The spelling of 3020212302100 in words is "three trillion, twenty billion, two hundred twelve million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 97 100 101 140 175 194 202 350 388 404 485 505 679 700 707 970 1010 1358 1414 1940 2020 2425 2525 2716 2828 3395 3535 4850 5050 6790 7070 9700 9797 10100 13580 14140 16975 17675 19594 33950 35350 39188 48985 67900 68579 70700 97970 137158 195940 244925 274316 342895 440399 489850 685790 880798 979700 1371580 1714475 1761596 2201995 3082793 3428950 4403990 6165586 6857900 8807980 11009975 12331172 15413965 22019950 30827930 42718703 44039900 44480299 61655860 77069825 85437406 88960598 154139650 170874812 177921196 213593515 222401495 299030921 308279300 311362093 427187030 444802990 598061842 622724186 854374060 889605980 1067967575 1112007475 1196123684 1245448372 1495154605 1556810465 2135935150 2224014950 2990309210 3113620930 4271870300 4314589003 4448029900 5980618420 6227241860 7475773025 7784052325 8629178006 14951546050 15568104650 17258356012 21572945015 29903092100 30202123021 31136209300 43145890030 60404246042 86291780060 107864725075 120808492084 151010615105 215729450150 302021230210 431458900300 604042460420 755053075525 1510106151050 3020212302100