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11002300296 = 2331371796287
BaseRepresentation
bin10100011111100100…
…11100011110001000
31001101202202202122120
422033302130132020
5140013042102141
65015425251240
7536435003151
oct121762343610
931352682576
1011002300296
11473656a069
122170793b20
131064551680
1476530c928
15445d95c66
hex28fc9c788

11002300296 has 128 divisors (see below), whose sum is σ = 30423859200. Its totient is φ = 3294869760.

The previous prime is 11002300291. The next prime is 11002300301. The reversal of 11002300296 is 69200320011.

11002300296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11002300291) and next prime (11002300301).

It is a super-2 number, since 2×110023002962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11002300291) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1746865 + ... + 1753151.

It is an arithmetic number, because the mean of its divisors is an integer number (237686400).

Almost surely, 211002300296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002300296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15211929600).

11002300296 is an abundant number, since it is smaller than the sum of its proper divisors (19421558904).

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

11002300296 is a wasteful number, since it uses less digits than its factorization.

11002300296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6459 (or 6455 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 11002300296 in words is "eleven billion, two million, three hundred thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 79 104 142 156 158 213 237 284 312 316 426 474 568 632 852 923 948 1027 1704 1846 1896 2054 2769 3081 3692 4108 5538 5609 6162 6287 7384 8216 11076 11218 12324 12574 16827 18861 22152 22436 24648 25148 33654 37722 44872 50296 67308 72917 75444 81731 134616 145834 150888 163462 218751 245193 291668 326924 437502 446377 490386 496673 583336 653848 875004 892754 980772 993346 1339131 1490019 1750008 1785508 1961544 1986692 2678262 2980038 3571016 3973384 5356524 5802901 5960076 6456749 10713048 11605802 11920152 12913498 17408703 19370247 23211604 25826996 34817406 35263783 38740494 46423208 51653992 69634812 70527566 77480988 105791349 139269624 141055132 154961976 211582698 282110264 423165396 458429179 846330792 916858358 1375287537 1833716716 2750575074 3667433432 5501150148 11002300296