Search a number
-
+
3020211101310 = 23513291132363177
BaseRepresentation
bin101011111100110010100…
…111000001111001111110
3101200201200201000121020220
4223330302213001321332
5343440343020220220
610231244341322210
7431126434532514
oct53746247017176
911621621017226
103020211101310
11a64956480297
12409406706366
1318ba5cb7aa50
14a62712504b4
1553868cad540
hex2bf329c1e7e

3020211101310 has 128 divisors (see below), whose sum is σ = 8146725310080. Its totient is φ = 711448313856.

The previous prime is 3020211101269. The next prime is 3020211101357. The reversal of 3020211101310 is 131011120203.

It is a happy number.

It is a super-2 number, since 2×30202111013102 (a number of 26 digits) contains 22 as substring.

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 3020211101310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96442 + ... + 2459618.

It is an arithmetic number, because the mean of its divisors is an integer number (63646291485).

Almost surely, 23020211101310 is an apocalyptic number.

3020211101310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3020211101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073362655040).

3020211101310 is an abundant number, since it is smaller than the sum of its proper divisors (5126514208770).

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

3020211101310 is a wasteful number, since it uses less digits than its factorization.

3020211101310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363342.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 3020211101310 its reverse (131011120203), we get a palindrome (3151222221513).

The spelling of 3020211101310 in words is "three trillion, twenty billion, two hundred eleven million, one hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 113 130 145 174 195 226 290 339 377 390 435 565 678 754 870 1130 1131 1469 1695 1885 2262 2938 3277 3390 3770 4407 5655 6554 7345 8814 9831 11310 14690 16385 19662 22035 32770 42601 44070 49155 85202 98310 127803 213005 255606 426010 639015 1278030 2363177 4726354 7089531 11815885 14179062 23631770 30721301 35447655 61442602 68532133 70895310 92163903 137064266 153606505 184327806 205596399 267039001 307213010 342660665 411192798 460819515 534078002 685321330 801117003 890917729 921639030 1027981995 1335195005 1602234006 1781835458 2055963990 2670390010 2672753187 3471507013 4005585015 4454588645 5345506374 6943014026 7744131029 8011170030 8909177290 10414521039 13363765935 15488262058 17357535065 20829042078 23232393087 26727531870 34715070130 38720655145 46464786174 52072605195 77441310290 100673703377 104145210390 116161965435 201347406754 232323930870 302021110131 503368516885 604042220262 1006737033770 1510105550655 3020211101310