Search a number
-
+
2234023123101 = 371167347415979
BaseRepresentation
bin100000100000100110001…
…001111001100010011101
321220120101220122021012220
4200200212021321202131
5243100234404414401
64430143540415553
7320255114141550
oct40404611714235
97816356567186
102234023123101
117914978a2a40
12300b759a75b9
1313288a5a4b43
147a1ad42c697
153d1a336c336
hex2082627989d

2234023123101 has 64 divisors (see below), whose sum is σ = 3780000276480. Its totient is φ = 1139912832960.

The previous prime is 2234023123081. The next prime is 2234023123109. The reversal of 2234023123101 is 1013213204322.

It is not a de Polignac number, because 2234023123101 - 222 = 2234018928797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234023123109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5162530 + ... + 5578508.

It is an arithmetic number, because the mean of its divisors is an integer number (59062504320).

Almost surely, 22234023123101 is an apocalyptic number.

2234023123101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2234023123101 is a deficient number, since it is larger than the sum of its proper divisors (1545977153379).

2234023123101 is a wasteful number, since it uses less digits than its factorization.

2234023123101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416414.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2234023123101 its reverse (1013213204322), we get a palindrome (3247236327423).

The spelling of 2234023123101 in words is "two trillion, two hundred thirty-four billion, twenty-three million, one hundred twenty-three thousand, one hundred one".

Divisors: 1 3 7 11 21 33 67 77 201 231 347 469 737 1041 1407 2211 2429 3817 5159 7287 11451 15477 23249 26719 69747 80157 162743 255739 415979 488229 767217 1247937 1790173 2911853 4575769 5370519 8735559 13727307 27870593 32030383 83611779 96091149 144344713 195094151 306576523 433034139 585282453 919729569 1010412991 1587791843 2146035661 3031238973 4763375529 6438106983 9671095771 11114542901 29013287313 33343628703 67697670397 106382053481 203093011191 319146160443 744674374367 2234023123101