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2254012511124 = 2231131243141227
BaseRepresentation
bin100000110011001101100…
…111010111001110010100
321222111000000012101120110
4200303031213113032110
5243412204200323444
64443251250403020
7321563350140003
oct40631547271624
97874000171513
102254012511124
11799a15334030
12304a14290470
13134724a054aa
147b148150c3a
153d9731ddcb9
hex20ccd9d7394

2254012511124 has 144 divisors (see below), whose sum is σ = 5942436369408. Its totient is φ = 659451096000.

The previous prime is 2254012511111. The next prime is 2254012511137. The reversal of 2254012511124 is 4211152104522.

2254012511124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2254012511111) and next prime (2254012511137).

It is a junction number, because it is equal to n+sod(n) for n = 2254012511091 and 2254012511100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54652599 + ... + 54693825.

It is an arithmetic number, because the mean of its divisors is an integer number (41266919232).

Almost surely, 22254012511124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254012511124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971218184704).

2254012511124 is an abundant number, since it is smaller than the sum of its proper divisors (3688423858284).

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

2254012511124 is a wasteful number, since it uses less digits than its factorization.

2254012511124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41738 (or 41705 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 2254012511124 its reverse (4211152104522), we get a palindrome (6465164615646).

The spelling of 2254012511124 in words is "two trillion, two hundred fifty-four billion, twelve million, five hundred eleven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 431 682 862 961 1023 1293 1364 1724 1922 2046 2586 2883 3844 4092 4741 5172 5766 9482 10571 11532 13361 14223 18964 21142 26722 28446 31713 40083 41227 42284 53444 56892 63426 80166 82454 123681 126852 146971 160332 164908 247362 293942 414191 440913 453497 494724 587884 828382 881826 906994 1242573 1278037 1360491 1656764 1763652 1813988 2485146 2556074 2720982 3834111 4556101 4970292 5112148 5441964 7668222 9112202 13668303 14058407 15336444 17768837 18224404 27336606 28116814 35537674 39619147 42175221 53306511 54673212 56233628 71075348 79238294 84350442 106613022 118857441 158476588 168700884 195457207 213226044 237714882 390914414 435810617 475429764 550833947 586371621 781828828 871621234 1101667894 1172743242 1307431851 1652501841 1743242468 2203335788 2345486484 2614863702 3305003682 5229727404 6059173417 6610007364 12118346834 17075852357 18177520251 24236693668 34151704714 36355040502 51227557071 68303409428 72710081004 102455114142 187834375927 204910228284 375668751854 563503127781 751337503708 1127006255562 2254012511124