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2330122124200 = 2352137229123973
BaseRepresentation
bin100001111010000110000…
…110011111101110101000
322020202110012212022222211
4201322012012133232220
5301134042230433300
64542235431454504
7330226412155453
oct41720606375650
98222405768884
102330122124200
11819221213902
12317715227434
1313b963b46ac0
1480ac834a49a
1540929d8a4ba
hex21e8619fba8

2330122124200 has 96 divisors (see below), whose sum is σ = 5835121450200. Its totient is φ = 860226831360.

The previous prime is 2330122124189. The next prime is 2330122124201. The reversal of 2330122124200 is 24212210332.

2330122124200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 582263615844 + 1747858508356 = 763062^2 + 1322066^2 .

It is a super-2 number, since 2×23301221242002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2330122124201) 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, 18733414 + ... + 18857386.

Almost surely, 22330122124200 is an apocalyptic number.

2330122124200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2330122124200 is an abundant number, since it is smaller than the sum of its proper divisors (3504999326000).

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

2330122124200 is a wasteful number, since it uses less digits than its factorization.

2330122124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131231 (or 131222 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2330122124200 its reverse (24212210332), we get a palindrome (2354334334532).

The spelling of 2330122124200 in words is "two trillion, three hundred thirty billion, one hundred twenty-two million, one hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 7229 14458 28916 36145 57832 72290 93977 123973 144580 180725 187954 247946 289160 361450 375908 469885 495892 619865 722900 751816 939770 991784 1239730 1445800 1611649 1879540 2349425 2479460 3099325 3223298 3759080 4698850 4958920 6198650 6446596 8058245 9397700 12397300 12893192 16116490 18795400 24794600 32232980 40291225 64465960 80582450 161164900 322329800 896200817 1792401634 3584803268 4481004085 7169606536 8962008170 11650610621 17924016340 22405020425 23301221242 35848032680 44810040850 46602442484 58253053105 89620081700 93204884968 116506106210 179240163400 233012212420 291265265525 466024424840 582530531050 1165061062100 2330122124200