Search a number
-
+
2130122054424 = 2337131361371647
BaseRepresentation
bin11110111111110101001…
…010110001101100011000
321112122012212110002210010
4132333311022301230120
5234344442221220144
64310321540121520
7306616260501150
oct36776512615430
97478185402703
102130122054424
1175141a405241
122a49b96962a0
13125b3c801c50
147515424b760
153a6219005b9
hex1eff52b1b18

2130122054424 has 128 divisors (see below), whose sum is σ = 6554794659840. Its totient is φ = 561741322752.

The previous prime is 2130122054413. The next prime is 2130122054453. The reversal of 2130122054424 is 4244502210312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2130122054391 and 2130122054400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29694969 + ... + 29766615.

It is an arithmetic number, because the mean of its divisors is an integer number (51209333280).

Almost surely, 22130122054424 is an apocalyptic number.

2130122054424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2130122054424 is an abundant number, since it is smaller than the sum of its proper divisors (4424672605416).

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

2130122054424 is a wasteful number, since it uses less digits than its factorization.

2130122054424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85289 (or 85285 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 2130122054424 its reverse (4244502210312), we get a palindrome (6374624264736).

The spelling of 2130122054424 in words is "two trillion, one hundred thirty billion, one hundred twenty-two million, fifty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 13613 27226 40839 54452 71647 81678 95291 108904 143294 163356 176969 190582 214941 285873 286588 326712 353938 381164 429882 501529 530907 571746 573176 707876 762328 859764 931411 1003058 1061814 1143492 1238783 1415752 1504587 1719528 1862822 2006116 2123628 2286984 2477566 2794233 3009174 3716349 3725644 4012232 4247256 4955132 5588466 6018348 6519877 7432698 7451288 9910264 11176932 12036696 13039754 14865396 19559631 22353864 26079508 29730792 39119262 52159016 78238524 156477048 975330611 1950661222 2925991833 3901322444 5851983666 6827314277 7802644888 11703967332 12679297943 13654628554 20481942831 23407934664 25358595886 27309257108 38037893829 40963885662 50717191772 54618514216 76075787658 81927771324 88755085601 101434383544 152151575316 163855542648 177510171202 266265256803 304303150632 355020342404 532530513606 710040684808 1065061027212 2130122054424