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1129284829311 = 3313783247639
BaseRepresentation
bin10000011011101110100…
…111110000000001111111
310222221212210122020100120
4100123232213300001333
5122000233404014221
62222441501030023
7144405505445442
oct20335647600177
93887783566316
101129284829311
113a5a21933771
12162a43255313
138264cc4ba42
143c92c949659
151e59690c5c6
hex106ee9f007f

1129284829311 has 48 divisors (see below), whose sum is σ = 1615790254080. Its totient is φ = 700324332480.

The previous prime is 1129284829289. The next prime is 1129284829319. The reversal of 1129284829311 is 1139284829211.

It is a happy number.

It is not a de Polignac number, because 1129284829311 - 217 = 1129284698239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129284829319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23681230 + ... + 23728868.

It is an arithmetic number, because the mean of its divisors is an integer number (33662296960).

Almost surely, 21129284829311 is an apocalyptic number.

1129284829311 is a deficient number, since it is larger than the sum of its proper divisors (486505424769).

1129284829311 is an equidigital number, since it uses as much as digits as its factorization.

1129284829311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47876 (or 47793 counting only the distinct ones).

The product of its digits is 497664, while the sum is 51.

The spelling of 1129284829311 in words is "one trillion, one hundred twenty-nine billion, two hundred eighty-four million, eight hundred twenty-nine thousand, three hundred eleven".

Divisors: 1 3 31 37 83 93 111 249 1147 2573 3071 3441 6889 7719 9213 20667 47639 95201 142917 213559 254893 285603 640677 764679 1476809 1762643 3954037 4430427 5287929 7901683 11862111 23705049 54641933 122575147 146299369 163925799 328185071 367725441 438898107 984555213 4535280439 10173737201 12142847627 13605841317 30521211603 36428542881 376428276437 1129284829311