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1124211430134 = 23213113148328669
BaseRepresentation
bin10000010111000000001…
…110010001001011110110
310222110210020010212001100
4100113000032101023312
5121404341111231014
62220242224310530
7144136002326262
oct20270016211366
93873706125040
101124211430134
113a3859053891
12161a68172446
1382021b313b0
143c5aac1d0a2
151e39b308009
hex105c03912f6

1124211430134 has 96 divisors (see below), whose sum is σ = 2648250652320. Its totient is φ = 342606910464.

The previous prime is 1124211430129. The next prime is 1124211430171. The reversal of 1124211430134 is 4310341124211.

It is a happy number.

1124211430134 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 211 + 430 + 13 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1124211430098 and 1124211430107.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 39199152 + ... + 39227820.

It is an arithmetic number, because the mean of its divisors is an integer number (27585944295).

Almost surely, 21124211430134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1124211430134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324125326160).

1124211430134 is an abundant number, since it is smaller than the sum of its proper divisors (1524039222186).

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

1124211430134 is a wasteful number, since it uses less digits than its factorization.

1124211430134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30286 (or 30283 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1124211430134 its reverse (4310341124211), we get a palindrome (5434552554345).

The spelling of 1124211430134 in words is "one trillion, one hundred twenty-four billion, two hundred eleven million, four hundred thirty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 678 1017 1469 1483 2034 2938 2966 4407 4449 8814 8898 13221 13347 19279 26442 26694 28669 38558 57338 57837 86007 115674 167579 172014 173511 258021 335158 347022 372697 502737 516042 745394 1005474 1118091 1508211 2178527 2236182 3016422 3239597 3354273 4357054 6479194 6535581 6708546 9718791 13071162 19437582 19606743 29156373 39213486 42114761 42516127 58312746 84229522 85032254 126344283 127548381 252688566 255096762 379032849 382645143 552709651 758065698 765290286 1105419302 1658128953 3316257906 4804322351 4974386859 9608644702 9948773718 14412967053 28825934106 43238901159 62456190563 86477802318 124912381126 187368571689 374737143378 562105715067 1124211430134