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11000010010011 = 31131611237142501
BaseRepresentation
bin1010000000010010001110…
…1100000110110110011011
31102221120221121111020110120
42200010203230012312123
52420211010030310021
635221200154044323
72213503334234121
oct240044354066633
942846847436416
1011000010010011
113561094976650
121297a611196a3
1361a3b151a339
142a0590a1d911
151412074d52c6
hexa0123b06d9b

11000010010011 has 64 divisors (see below), whose sum is σ = 16800589074432. Its totient is φ = 6340680000000.

The previous prime is 11000010010007. The next prime is 11000010010019. The reversal of 11000010010011 is 11001001000011.

It is not a de Polignac number, because 11000010010011 - 22 = 11000010010007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11000010010019) 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 63 ways as a sum of consecutive naturals, for example, 77121261 + ... + 77263761.

It is an arithmetic number, because the mean of its divisors is an integer number (262509204288).

Almost surely, 211000010010011 is an apocalyptic number.

11000010010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000010010011 is a deficient number, since it is larger than the sum of its proper divisors (5800579064421).

11000010010011 is a wasteful number, since it uses less digits than its factorization.

11000010010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143844.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11000010010011 its reverse (11001001000011), we get a palindrome (22001011010022).

The spelling of 11000010010011 in words is "eleven trillion, ten million, ten thousand, eleven".

Divisors: 1 3 11 31 33 61 93 183 341 671 1023 1237 1891 2013 3711 5673 13607 20801 38347 40821 62403 75457 115041 142501 226371 421817 427503 830027 1265451 1567511 2339167 2490081 4417531 4702533 7017501 8692561 13252593 25730837 26077683 48592841 77192511 95618171 145778523 176273737 269469391 286854513 528821211 808408173 1939011107 2964163301 5464485847 5817033321 8892489903 10752697957 16393457541 32258093871 60109344317 118279677527 180328032951 333333636667 354839032581 1000000910001 3666670003337 11000010010011