Search a number
-
+
2002020112120 = 23572928501869
BaseRepresentation
bin11101001000100001101…
…100101001011011111000
321002101120020001011211111
4131020201230221123320
5230300114122041440
64131414303010104
7264432632113540
oct35104154513370
97071506034744
102002020112120
11702063184a36
12284008599934
13116a35c30ba2
146cc80ca2320
15371255144ea
hex1d221b296f8

2002020112120 has 96 divisors (see below), whose sum is σ = 5331692714400. Its totient is φ = 662737614336.

The previous prime is 2002020112117. The next prime is 2002020112129. The reversal of 2002020112120 is 212110202002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2002020112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002020112129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4015455 + ... + 4486414.

It is an arithmetic number, because the mean of its divisors is an integer number (55538465775).

Almost surely, 22002020112120 is an apocalyptic number.

2002020112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002020112120 is an abundant number, since it is smaller than the sum of its proper divisors (3329672602280).

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

2002020112120 is a wasteful number, since it uses less digits than its factorization.

2002020112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8501945 (or 8501912 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2002020112120 its reverse (212110202002), we get a palindrome (2214130314122).

The spelling of 2002020112120 in words is "two trillion, two billion, twenty million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 841 1015 1160 1624 1682 2030 3364 4060 4205 5887 6728 8120 8410 11774 16820 23548 29435 33640 47096 58870 117740 235480 8501869 17003738 34007476 42509345 59513083 68014952 85018690 119026166 170037380 238052332 246554201 297565415 340074760 476104664 493108402 595130830 986216804 1190261660 1232771005 1725879407 1972433608 2380523320 2465542010 3451758814 4931084020 6903517628 7150071829 8629397035 9862168040 13807035256 14300143658 17258794070 28600287316 34517588140 35750359145 50050502803 57200574632 69035176280 71500718290 100101005606 143001436580 200202011212 250252514015 286002873160 400404022424 500505028030 1001010056060 2002020112120