Search a number
-
+
3112201100130 = 2352310791945869
BaseRepresentation
bin101101010010011101101…
…001000001101101100010
3102000112010122102201120020
4231102131221001231202
5401442241440201010
610341420410254310
7440564146605063
oct55223551015542
912015118381506
103112201100130
11a9a971427a01
124231b9a27396
13197630055105
14aa8ba56256a
1555e4ebc4470
hex2d49da41b62

3112201100130 has 128 divisors (see below), whose sum is σ = 7875607449600. Its totient is φ = 785544908544.

The previous prime is 3112201100089. The next prime is 3112201100189. The reversal of 3112201100130 is 310011022113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 67826836 + ... + 67872704.

It is an arithmetic number, because the mean of its divisors is an integer number (61528183200).

Almost surely, 23112201100130 is an apocalyptic number.

3112201100130 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 3112201100130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937803724800).

3112201100130 is an abundant number, since it is smaller than the sum of its proper divisors (4763406349470).

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

3112201100130 is a wasteful number, since it uses less digits than its factorization.

3112201100130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46928.

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

Adding to 3112201100130 its reverse (310011022113), we get a palindrome (3422212122243).

The spelling of 3112201100130 in words is "three trillion, one hundred twelve billion, two hundred one million, one hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 107 115 138 214 230 321 345 535 642 690 919 1070 1605 1838 2461 2757 3210 4595 4922 5514 7383 9190 12305 13785 14766 21137 24610 27570 36915 42274 45869 63411 73830 91738 98333 105685 126822 137607 196666 211370 229345 275214 294999 317055 458690 491665 589998 634110 688035 983330 1054987 1376070 1474995 2109974 2261659 2949990 3164961 4523318 4907983 5274935 6329922 6784977 9815966 10549870 11308295 13569954 14723949 15824805 22616590 24539915 29447898 31649610 33924885 42153611 49079830 67849770 73619745 84307222 112883609 126460833 147239490 210768055 225767218 252921666 338650827 421536110 564418045 632304165 677301654 969533053 1128836090 1264608330 1693254135 1939066106 2908599159 3386508270 4510436377 4847665265 5817198318 9020872754 9695330530 13531309131 14542995795 22552181885 27062618262 29085991590 45104363770 67656545655 103740036671 135313091310 207480073342 311220110013 518700183355 622440220026 1037400366710 1556100550065 3112201100130