Search a number
-
+
2133041012120 = 235103639780933
BaseRepresentation
bin11111000010100011001…
…001101101110110011000
321112220202021222111222102
4133002203021231312120
5234421431444341440
64311523331342532
7310051513306664
oct37024311556630
97486667874872
102133041012120
11752688052377
122a5493151a48
131261b647c855
147534db998a4
153a742cd6b15
hex1f0a326dd98

2133041012120 has 64 divisors (see below), whose sum is σ = 4846755251520. Its totient is φ = 844790229504.

The previous prime is 2133041012101. The next prime is 2133041012129. The reversal of 2133041012120 is 212101403312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2133041012092 and 2133041012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133041012129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26315174 + ... + 26396106.

It is an arithmetic number, because the mean of its divisors is an integer number (75730550805).

Almost surely, 22133041012120 is an apocalyptic number.

2133041012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133041012120 is an abundant number, since it is smaller than the sum of its proper divisors (2713714239400).

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

2133041012120 is a wasteful number, since it uses less digits than its factorization.

2133041012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87444 (or 87440 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2133041012120 its reverse (212101403312), we get a palindrome (2345142415432).

The spelling of 2133041012120 in words is "two trillion, one hundred thirty-three billion, forty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 824 1030 2060 4120 6397 12794 25588 31985 51176 63970 80933 127940 161866 255880 323732 404665 647464 658891 809330 1317782 1618660 2635564 3237320 3294455 5271128 6588910 8336099 13177820 16672198 26355640 33344396 41680495 66688792 83360990 166721980 333443960 517728401 1035456802 2070913604 2588642005 4141827208 5177284010 10354568020 20709136040 53326025303 106652050606 213304101212 266630126515 426608202424 533260253030 1066520506060 2133041012120