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11126198319 = 323429457
BaseRepresentation
bin10100101110010110…
…00101000000101111
31001201101220102210020
422113023011000233
5140241301321234
65040013013223
7542501060655
oct122713050057
931641812706
1011126198319
11479a4a3525
1221a6184213
131084111902
14777960dd5
15451bbb549
hex2972c502f

11126198319 has 40 divisors (see below), whose sum is σ = 16079152560. Its totient is φ = 6835323264.

The previous prime is 11126198269. The next prime is 11126198333. The reversal of 11126198319 is 91389162111.

It is a happy number.

It is not a de Polignac number, because 11126198319 - 27 = 11126198191 is a prime.

It is a super-2 number, since 2×111261983192 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11126198219) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24345939 + ... + 24346395.

It is an arithmetic number, because the mean of its divisors is an integer number (401978814).

Almost surely, 211126198319 is an apocalyptic number.

11126198319 is a deficient number, since it is larger than the sum of its proper divisors (4952954241).

11126198319 is an frugal number, since it uses more digits than its factorization.

11126198319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 512 counting only the distinct ones).

The product of its digits is 23328, while the sum is 42.

The spelling of 11126198319 in words is "eleven billion, one hundred twenty-six million, one hundred ninety-eight thousand, three hundred nineteen".

Divisors: 1 3 23 29 69 87 457 529 667 1371 1587 2001 10511 12167 13253 15341 31533 36501 39759 46023 241753 279841 304819 352843 725259 839523 914457 1058529 5560319 7010837 8115389 16680957 21032511 24346167 127887337 161249251 383662011 483747753 3708732773 11126198319