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2102100202120 = 2351672789112831
BaseRepresentation
bin11110100101101110111…
…011111001001010001000
321102221212222101111220111
4132211232323321022020
5233420100122431440
64245405210404104
7304605000621562
oct36455673711210
97387788344814
102102100202120
1174054a842916
1229b499130634
131232c5202959
1473a56810332
1539a317be4ea
hex1e96eef9288

2102100202120 has 64 divisors (see below), whose sum is σ = 4759795353600. Its totient is φ = 835498026240.

The previous prime is 2102100202031. The next prime is 2102100202129. The reversal of 2102100202120 is 212020012012.

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 2102100202120.

It is not an unprimeable number, because it can be changed into a prime (2102100202129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18574105 + ... + 18686935.

It is an arithmetic number, because the mean of its divisors is an integer number (74371802400).

Almost surely, 22102100202120 is an apocalyptic number.

2102100202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102100202120 is an abundant number, since it is smaller than the sum of its proper divisors (2657695151480).

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

2102100202120 is a wasteful number, since it uses less digits than its factorization.

2102100202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115798 (or 115794 counting only the distinct ones).

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

Adding to 2102100202120 its reverse (212020012012), we get a palindrome (2314120214132).

The spelling of 2102100202120 in words is "two trillion, one hundred two billion, one hundred million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 167 334 668 835 1336 1670 2789 3340 5578 6680 11156 13945 22312 27890 55780 111560 112831 225662 451324 465763 564155 902648 931526 1128310 1863052 2256620 2328815 3726104 4513240 4657630 9315260 18630520 18842777 37685554 75371108 94213885 150742216 188427770 314685659 376855540 629371318 753711080 1258742636 1573428295 2517485272 3146856590 6293713180 12587426360 52552505053 105105010106 210210020212 262762525265 420420040424 525525050530 1051050101060 2102100202120