Search a number
-
+
2120301202200 = 233526752743811
BaseRepresentation
bin11110110110101011110…
…011001100101100011000
321111200212102210010012120
4132312223303030230120
5234214334101432300
64302015233141240
7306121016565006
oct36665363145430
97450772703176
102120301202200
1174823a830645
122a2b186ba820
13124c35c7a79c
14748a1bdda76
153a24962d3a0
hex1edabcccb18

2120301202200 has 96 divisors (see below), whose sum is σ = 6671037341760. Its totient is φ = 556974633600.

The previous prime is 2120301202181. The next prime is 2120301202213. The reversal of 2120301202200 is 22021030212.

It is a happy number.

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 2120301202200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26331706 + ... + 26412105.

It is an arithmetic number, because the mean of its divisors is an integer number (69489972310).

Almost surely, 22120301202200 is an apocalyptic number.

2120301202200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120301202200 is an abundant number, since it is smaller than the sum of its proper divisors (4550736139560).

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

2120301202200 is a wasteful number, since it uses less digits than its factorization.

2120301202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52743897 (or 52743888 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2120301202200 its reverse (22021030212), we get a palindrome (2142322232412).

The spelling of 2120301202200 in words is "two trillion, one hundred twenty billion, three hundred one million, two hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 134 150 200 201 268 300 335 402 536 600 670 804 1005 1340 1608 1675 2010 2680 3350 4020 5025 6700 8040 10050 13400 20100 40200 52743811 105487622 158231433 210975244 263719055 316462866 421950488 527438110 632925732 791157165 1054876220 1265851464 1318595275 1582314330 2109752440 2637190550 3164628660 3533835337 3955785825 5274381100 6329257320 7067670674 7911571650 10548762200 10601506011 14135341348 15823143300 17669176685 21203012022 28270682696 31646286600 35338353370 42406024044 53007530055 70676706740 84812048088 88345883425 106015060110 141353413480 176691766850 212030120220 265037650275 353383533700 424060240440 530075300550 706767067400 1060150601100 2120301202200