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1131310303101 = 321153714017573
BaseRepresentation
bin10000011101100111010…
…110010100011101111101
311000011002221220222001100
4100131213112110131331
5122013410414144401
62223414454003313
7144506631625026
oct20354726243575
94004087828040
101131310303101
113a687119a150
12163309646539
13828b3774b44
143ca81955c4d
151e664652b86
hex1076759477d

1131310303101 has 96 divisors (see below), whose sum is σ = 1846724914944. Its totient is φ = 661489920000.

The previous prime is 1131310303099. The next prime is 1131310303117. The reversal of 1131310303101 is 1013030131311.

1131310303101 is a `hidden beast` number, since 1 + 1 + 313 + 10 + 30 + 310 + 1 = 666.

It is not a de Polignac number, because 1131310303101 - 21 = 1131310303099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131310303171) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 149383551 + ... + 149391123.

It is an arithmetic number, because the mean of its divisors is an integer number (19236717864).

Almost surely, 21131310303101 is an apocalyptic number.

1131310303101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1131310303101 is a deficient number, since it is larger than the sum of its proper divisors (715414611843).

1131310303101 is a wasteful number, since it uses less digits than its factorization.

1131310303101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8115 (or 8112 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1131310303101 its reverse (1013030131311), we get a palindrome (2144340434412).

The spelling of 1131310303101 in words is "one trillion, one hundred thirty-one billion, three hundred ten million, three hundred three thousand, one hundred one".

Divisors: 1 3 9 11 33 53 71 99 159 213 401 477 583 639 781 1203 1749 2343 3609 3763 4411 5247 7029 7573 11289 13233 21253 22719 28471 33867 39699 41393 63759 68157 83303 85413 124179 191277 233783 249909 256239 313181 372537 401369 537683 701349 749727 939543 1204107 1508963 1613049 2104047 2818629 3036773 3612321 4415059 4526889 4839147 5914513 9110319 13245177 13580667 16598593 17743539 27330957 28497199 33404503 39735531 49795779 53230617 85491597 100213509 149387337 160948969 215610883 256474791 300640527 313469189 482846907 646832649 940407567 1448540721 1770438659 1940497947 2371719713 2821222701 5311315977 7115159139 11427376799 15933947931 21345477417 34282130397 102846391191 125701144789 377103434367 1131310303101