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11131312302 = 23311411912393
BaseRepresentation
bin10100101110111101…
…00101100010101110
31001201202112020212000
422113132211202232
5140244103443202
65040314353130
7542562410355
oct122736454256
931652466760
1011131312302
1147a2376760
1221a7a2b7a6
1310851b2536
147784d299c
1545237b91c
hex2977a58ae

11131312302 has 128 divisors (see below), whose sum is σ = 27799511040. Its totient is φ = 3272256000.

The previous prime is 11131312271. The next prime is 11131312331. The reversal of 11131312302 is 20321313111.

It is a super-2 number, since 2×111313123022 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4650418 + ... + 4652810.

It is an arithmetic number, because the mean of its divisors is an integer number (217183680).

Almost surely, 211131312302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131312302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13899755520).

11131312302 is an abundant number, since it is smaller than the sum of its proper divisors (16668198738).

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

11131312302 is a wasteful number, since it uses less digits than its factorization.

11131312302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11131312302 its reverse (20321313111), we get a palindrome (31452625413).

The spelling of 11131312302 in words is "eleven billion, one hundred thirty-one million, three hundred twelve thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 82 99 123 191 198 246 297 369 382 451 573 594 738 902 1107 1146 1353 1719 2101 2214 2393 2706 3438 4059 4202 4786 5157 6303 7179 7831 8118 10314 12177 12606 14358 15662 18909 21537 23493 24354 26323 37818 43074 46986 52646 56727 64611 70479 78969 86141 98113 113454 129222 140958 157938 172282 196226 211437 236907 258423 294339 422874 457063 473814 516846 588678 710721 775269 883017 914126 1079243 1371189 1421442 1550538 1766034 2158486 2325807 2649051 2742378 3237729 4113567 4651614 5027693 5298102 6475458 8227134 9713187 10055386 12340701 15083079 18739583 19426374 24681402 29139561 30166158 37479166 45249237 56218749 58279122 90498474 112437498 135747711 168656247 206135413 271495422 337312494 412270826 505968741 618406239 1011937482 1236812478 1855218717 3710437434 5565656151 11131312302