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3061101420 = 22325138315761
BaseRepresentation
bin1011011001110100…
…1011001101101100
321220100000001201200
42312131023031230
522232120221140
61223430005500
7135566634636
oct26635131554
97810001650
103061101420
111330a03893
127151a6890
1339a258920
1421078da56
1512db13030
hexb674b36c

3061101420 has 144 divisors (see below), whose sum is σ = 10120717152. Its totient is φ = 744376320.

The previous prime is 3061101389. The next prime is 3061101437. The reversal of 3061101420 is 241011603.

It is a happy number.

3061101420 is a `hidden beast` number, since 30 + 611 + 0 + 1 + 4 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3061101393 and 3061101402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186340 + ... + 202100.

It is an arithmetic number, because the mean of its divisors is an integer number (70282758).

Almost surely, 23061101420 is an apocalyptic number.

3061101420 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 3061101420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5060358576).

3061101420 is an abundant number, since it is smaller than the sum of its proper divisors (7059615732).

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

3061101420 is a wasteful number, since it uses less digits than its factorization.

3061101420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15872 (or 15867 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3061101420 is about 55327.2213291071. The cubic root of 3061101420 is about 1451.9753371036.

The spelling of 3061101420 in words is "three billion, sixty-one million, one hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 83 90 117 130 156 166 180 195 234 249 260 332 390 415 468 498 585 747 780 830 996 1079 1170 1245 1494 1660 2158 2340 2490 2988 3237 3735 4316 4980 5395 6474 7470 9711 10790 12948 14940 15761 16185 19422 21580 31522 32370 38844 47283 48555 63044 64740 78805 94566 97110 141849 157610 189132 194220 204893 236415 283698 315220 409786 472830 567396 614679 709245 819572 945660 1024465 1229358 1308163 1418490 1844037 2048930 2458716 2616326 2836980 3073395 3688074 3924489 4097860 5232652 6146790 6540815 7376148 7848978 9220185 11773467 12293580 13081630 15697956 17006119 18440370 19622445 23546934 26163260 34012238 36880740 39244890 47093868 51018357 58867335 68024476 78489780 85030595 102036714 117734670 153055071 170061190 204073428 235469340 255091785 306110142 340122380 510183570 612220284 765275355 1020367140 1530550710 3061101420