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11023312100333 = 1317531481635461
BaseRepresentation
bin1010000001101001000010…
…0110100001101111101101
31110000211002120111002001212
42200122100212201233231
52421101220344202313
635240012322444205
72215256643600401
oct240322046415755
943024076432055
1011023312100333
11356aa62337a35
1212a0484b03665
1361c656059870
142a17616a7101
15141b1d0b83a8
hexa06909a1bed

11023312100333 has 32 divisors (see below), whose sum is σ = 12815397739872. Its totient is φ = 9389760307200.

The previous prime is 11023312100287. The next prime is 11023312100341. The reversal of 11023312100333 is 33300121332011.

It can be written as a sum of positive squares in 16 ways, for example, as 601862536804 + 10421449563529 = 775798^2 + 3228227^2 .

It is not a de Polignac number, because 11023312100333 - 220 = 11023311051757 is a prime.

It is a super-2 number, since 2×110233121003332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11023312100299 and 11023312100308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023312100033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17029223 + ... + 17664683.

It is an arithmetic number, because the mean of its divisors is an integer number (400481179371).

Almost surely, 211023312100333 is an apocalyptic number.

11023312100333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11023312100333 is a deficient number, since it is larger than the sum of its proper divisors (1792085639539).

11023312100333 is a wasteful number, since it uses less digits than its factorization.

11023312100333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637025.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 11023312100333 its reverse (33300121332011), we get a palindrome (44323433432344).

The spelling of 11023312100333 in words is "eleven trillion, twenty-three billion, three hundred twelve million, one hundred thousand, three hundred thirty-three".

Divisors: 1 13 17 53 221 689 901 1481 11713 19253 25177 78493 327301 635461 1020409 1334381 8260993 10802837 17346953 33679433 140436881 437832629 572550361 941117741 7443154693 12234530633 15999001597 49879240273 207987020761 648430123549 847947084641 11023312100333