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1131320302134 = 231137538779967
BaseRepresentation
bin10000011101100111111…
…100011101101000110110
311000011010122201222010220
4100131213330131220312
5122013420444132014
62223415452155210
7144510112621521
oct20354774355066
94004118658126
101131320302134
113a68768a9610
12163310a68b06
13828b5866129
143ca82dd9bb8
151e66547a6a9
hex10767f1da36

1131320302134 has 128 divisors (see below), whose sum is σ = 2586082609152. Its totient is φ = 326859287040.

The previous prime is 1131320302111. The next prime is 1131320302153. The reversal of 1131320302134 is 4312030231311.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113501619 + ... + 113511585.

It is an arithmetic number, because the mean of its divisors is an integer number (20203770384).

Almost surely, 21131320302134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131320302134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293041304576).

1131320302134 is an abundant number, since it is smaller than the sum of its proper divisors (1454762307018).

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

1131320302134 is a wasteful number, since it uses less digits than its factorization.

1131320302134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10950.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1131320302134 its reverse (4312030231311), we get a palindrome (5443350533445).

The spelling of 1131320302134 in words is "one trillion, one hundred thirty-one billion, three hundred twenty million, three hundred two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 53 66 74 106 111 159 222 318 407 583 814 877 1166 1221 1749 1754 1961 2442 2631 3498 3922 5262 5883 9647 9967 11766 19294 19934 21571 28941 29901 32449 43142 46481 57882 59802 64713 64898 92962 97347 109637 129426 139443 194694 219274 278886 328911 356939 368779 511291 528251 657822 713878 737558 1022582 1056502 1070817 1106337 1533873 1584753 1719797 2141634 2212674 3067746 3169506 3439594 4056569 5159391 5810761 8113138 8741059 10318782 11621522 12169707 17432283 17482118 18917767 19545287 24339414 26223177 34864566 37835534 39090574 52446354 56753301 58635861 96151649 113506602 117271722 192303298 214998157 288454947 323419183 429996314 463276127 576909894 644994471 646838366 926552254 970257549 1289988942 1389828381 1940515098 2779656762 3557611013 5096037397 7115222026 10192074794 10672833039 15288112191 17141216699 21345666078 30576224382 34282433398 51423650097 102847300194 188553383689 377106767378 565660151067 1131320302134