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1124141011422 = 2311213233511193
BaseRepresentation
bin10000010110111100000…
…001101001000111011110
310222110121022122012201220
4100112330001221013132
5121404220044331142
62220231231114210
7144134155640022
oct20267401510736
93873538565656
101124141011422
113a3822327200
12161a48672966
1382010377110
143c5a172c382
151e3950482ec
hex105bc0691de

1124141011422 has 96 divisors (see below), whose sum is σ = 2672775784224. Its totient is φ = 313094876160.

The previous prime is 1124141011421. The next prime is 1124141011423. The reversal of 1124141011422 is 2241101414211.

It is an interprime number because it is at equal distance from previous prime (1124141011421) and next prime (1124141011423).

It is a junction number, because it is equal to n+sod(n) for n = 1124141011392 and 1124141011401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124141011421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943458 + ... + 2454650.

It is an arithmetic number, because the mean of its divisors is an integer number (27841414419).

Almost surely, 21124141011422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1124141011422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336387892112).

1124141011422 is an abundant number, since it is smaller than the sum of its proper divisors (1548634772802).

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

1124141011422 is a wasteful number, since it uses less digits than its factorization.

1124141011422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511466 (or 511455 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 1124141011422 its reverse (2241101414211), we get a palindrome (3365242425633).

The spelling of 1124141011422 in words is "one trillion, one hundred twenty-four billion, one hundred forty-one million, eleven thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 233 242 286 363 429 466 699 726 858 1398 1573 2563 3029 3146 4719 5126 6058 7689 9087 9438 15378 18174 28193 33319 56386 66638 84579 99957 169158 199914 366509 511193 733018 1022386 1099527 1533579 2199054 3067158 5623123 6645509 11246246 13291018 16869369 19936527 33738738 39873054 61854353 73100599 119107969 123708706 146201198 185563059 219301797 238215938 357323907 371126118 438603594 714647814 804106589 1310187659 1548403597 1608213178 2412319767 2620375318 3096807194 3930562977 4645210791 4824639534 7861125954 9290421582 14412064249 17032439567 28824128498 34064879134 43236192747 51097318701 86472385494 102194637402 187356835237 374713670474 562070505711 1124141011422