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11003101312 = 27723156591
BaseRepresentation
bin10100011111101011…
…00000000010000000
31001101211021110102211
422033311200002000
5140013243220222
65015454351504
7536444550400
oct121765400200
931354243384
1011003101312
114736a66965
122170abb594
131064772148
1476547a800
15445ea3277
hex28fd60080

11003101312 has 96 divisors (see below), whose sum is σ = 26322071040. Its totient is φ = 4563417600.

The previous prime is 11003101289. The next prime is 11003101327. The reversal of 11003101312 is 21310130011.

It is a super-2 number, since 2×110031013122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11003101292 and 11003101301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166137 + ... + 222727.

It is an arithmetic number, because the mean of its divisors is an integer number (274188240).

Almost surely, 211003101312 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 11003101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13161035520).

11003101312 is an abundant number, since it is smaller than the sum of its proper divisors (15318969728).

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

11003101312 is an equidigital number, since it uses as much as digits as its factorization.

11003101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56650 (or 56631 counting only the distinct ones).

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

Adding to 11003101312 its reverse (21310130011), we get a palindrome (32313231323).

The spelling of 11003101312 in words is "eleven billion, three million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 196 217 224 248 392 434 448 496 784 868 896 992 1519 1568 1736 1984 3038 3136 3472 3968 6076 6272 6944 12152 13888 24304 27776 48608 56591 97216 113182 194432 226364 396137 452728 792274 905456 1584548 1754321 1810912 2772959 3169096 3508642 3621824 5545918 6338192 7017284 7243648 11091836 12280247 12676384 14034568 22183672 24560494 25352768 28069136 44367344 49120988 50705536 56138272 85961729 88734688 98241976 112276544 171923458 177469376 196483952 224553088 343846916 354938752 392967904 687693832 785935808 1375387664 1571871616 2750775328 5501550656 11003101312