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11297112300 = 22325226946663
BaseRepresentation
bin10101000010101110…
…00100000011101100
31002011022111202200200
422201113010003230
5141114030043200
65105000153500
7546644604315
oct124127040354
932138452620
1011297112300
114877a1a751
122233468890
1310b0653c46
1479253160c
15461bcc800
hex2a15c40ec

11297112300 has 108 divisors (see below), whose sum is σ = 35542568880. Its totient is φ = 3001299840.

The previous prime is 11297112257. The next prime is 11297112311. The reversal of 11297112300 is 321179211.

It is a super-2 number, since 2×112971123002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 218769 + ... + 265431.

It is an arithmetic number, because the mean of its divisors is an integer number (329097860).

Almost surely, 211297112300 is an apocalyptic number.

11297112300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11297112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17771284440).

11297112300 is an abundant number, since it is smaller than the sum of its proper divisors (24245456580).

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

11297112300 is a wasteful number, since it uses less digits than its factorization.

11297112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46952 (or 46942 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 11297112300 in words is "eleven billion, two hundred ninety-seven million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 269 300 450 538 807 900 1076 1345 1614 2421 2690 3228 4035 4842 5380 6725 8070 9684 12105 13450 16140 20175 24210 26900 40350 46663 48420 60525 80700 93326 121050 139989 186652 233315 242100 279978 419967 466630 559956 699945 839934 933260 1166575 1399890 1679868 2099835 2333150 2799780 3499725 4199670 4666300 6999450 8399340 10499175 12552347 13998900 20998350 25104694 37657041 41996700 50209388 62761735 75314082 112971123 125523470 150628164 188285205 225942246 251046940 313808675 376570410 451884492 564855615 627617350 753140820 941426025 1129711230 1255234700 1882852050 2259422460 2824278075 3765704100 5648556150 11297112300