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3343375680100 = 225283222032
BaseRepresentation
bin110000101001110000101…
…110000100001001100100
3102211121211121012011020121
4300221300232010021210
5414234213133230400
611035531532011324
7463356652244251
oct60516056041144
912747747164217
103343375680100
111079a10456485
1245bb75900b44
131b3381ba03c1
14b7b6aa82428
155be7ee3b21a
hex30a70b84264

3343375680100 has 81 divisors (see below), whose sum is σ = 7346924482233. Its totient is φ = 1320637873440.

The previous prime is 3343375679989. The next prime is 3343375680137. The reversal of 3343375680100 is 10865733433.

The square root of 3343375680100 is 1828490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1203615244836 + 2139760435264 = 1097094^2 + 1462792^2 .

It is a super-2 number, since 2×33433756801002 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1517645599 + ... + 1517647801.

Almost surely, 23343375680100 is an apocalyptic number.

3343375680100 is the 1828490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3343375680100

3343375680100 is an abundant number, since it is smaller than the sum of its proper divisors (4003548802133).

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

3343375680100 is an frugal number, since it uses more digits than its factorization.

3343375680100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4586 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 43.

The spelling of 3343375680100 in words is "three trillion, three hundred forty-three billion, three hundred seventy-five million, six hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 2203 4150 4406 6889 8300 8812 11015 13778 22030 27556 34445 44060 55075 68890 110150 137780 172225 182849 220300 344450 365698 688900 731396 914245 1828490 3656980 4571225 4853209 9142450 9706418 15176467 18284900 19412836 24266045 30352934 48532090 60705868 75882335 97064180 121330225 151764670 242660450 303529340 379411675 402816347 485320900 758823350 805632694 1517646700 1611265388 2014081735 4028163470 8056326940 10070408675 20140817350 33433756801 40281634700 66867513602 133735027204 167168784005 334337568010 668675136020 835843920025 1671687840050 3343375680100