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11023011310 = 25171931283389
BaseRepresentation
bin10100100010000010…
…11100110111101110
31001110012201222211011
422101001130313232
5140033342330220
65021445215434
7540106023133
oct122101346756
931405658734
1011023011310
114747225603
12217770157a
1310689235cc
14767d8058a
15447ad765a
hex29105cdee

11023011310 has 128 divisors (see below), whose sum is σ = 22967193600. Its totient is φ = 3781416960.

The previous prime is 11023011301. The next prime is 11023011401. The reversal of 11023011310 is 1311032011.

11023011310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110230113102 (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 28336596 + ... + 28336984.

It is an arithmetic number, because the mean of its divisors is an integer number (179431200).

Almost surely, 211023011310 is an apocalyptic number.

11023011310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11023011310 is an abundant number, since it is smaller than the sum of its proper divisors (11944182290).

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

11023011310 is a wasteful number, since it uses less digits than its factorization.

11023011310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11023011310 its reverse (1311032011), we get a palindrome (12334043321).

The spelling of 11023011310 in words is "eleven billion, twenty-three million, eleven thousand, three hundred ten".

Divisors: 1 2 5 10 17 19 31 34 38 62 85 95 155 170 190 283 310 323 389 527 566 589 646 778 1054 1178 1415 1615 1945 2635 2830 2945 3230 3890 4811 5270 5377 5890 6613 7391 8773 9622 10013 10754 12059 13226 14782 17546 20026 24055 24118 26885 33065 36955 43865 48110 50065 53770 60295 66130 73910 87730 91409 100130 110087 120590 125647 149141 166687 182818 205003 220174 229121 251294 298282 333374 410006 457045 458242 550435 628235 745705 833435 914090 1025015 1100870 1145605 1256470 1491410 1666870 1871479 2050030 2091653 2291210 2833679 3412697 3742958 3895057 4183306 5667358 6825394 7790114 9357395 10458265 14168395 17063485 18714790 19475285 20916530 28336790 34126970 35558101 38950570 58015849 64841243 71116202 116031698 129682486 177790505 290079245 324206215 355581010 580158490 648412430 1102301131 2204602262 5511505655 11023011310