Search a number
-
+
3002211111204 = 22321929199760561
BaseRepresentation
bin101011101100000001101…
…110100001000100100100
3101122000020020212100210200
4223230001232201010210
5343142012021024304
610215110255150500
7426621406251324
oct53540156410444
911560206770720
103002211111204
11a582599a5308
12405a22515430
1318a151951b26
14a5444827284
1553163907e39
hex2bb01ba1124

3002211111204 has 144 divisors (see below), whose sum is σ = 8305337040000. Its totient is φ = 910773642240.

The previous prime is 3002211111197. The next prime is 3002211111287. The reversal of 3002211111204 is 4021111122003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3567084 + ... + 4327644.

Almost surely, 23002211111204 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 3002211111204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152668520000).

3002211111204 is an abundant number, since it is smaller than the sum of its proper divisors (5303125928796).

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

3002211111204 is a wasteful number, since it uses less digits than its factorization.

3002211111204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760818 (or 760813 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 3002211111204 its reverse (4021111122003), we get a palindrome (7023322233207).

The spelling of 3002211111204 in words is "three trillion, two billion, two hundred eleven million, one hundred eleven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 199 228 261 342 348 398 522 551 597 684 796 1044 1102 1194 1653 1791 2204 2388 3306 3582 3781 4959 5771 6612 7164 7562 9918 11343 11542 15124 17313 19836 22686 23084 34029 34626 45372 51939 68058 69252 103878 109649 136116 207756 219298 328947 438596 657894 760561 986841 1315788 1521122 1973682 2281683 3042244 3947364 4563366 6845049 9126732 13690098 14450659 22056269 27380196 28901318 43351977 44112538 57802636 66168807 86703954 88225076 130055931 132337614 151351639 173407908 198506421 260111862 264675228 302703278 397012842 419069111 454054917 520223724 605406556 794025684 838138222 908109834 1257207333 1362164751 1676276444 1816219668 2514414666 2724329502 2875681141 3771621999 4389197531 5028829332 5448659004 5751362282 7543243998 8627043423 8778395062 11502724564 13167592593 15086487996 17254086846 17556790124 25881130269 26335185186 34508173692 39502777779 51762260538 52670370372 79005555558 83394753089 103524521076 158011111116 166789506178 250184259267 333579012356 500368518534 750552777801 1000737037068 1501105555602 3002211111204