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11306680700 = 2252741393961
BaseRepresentation
bin10101000011110111…
…00100000101111100
31002011222111220001212
422201323210011330
5141124002240300
65105541223552
7550122125450
oct124173440574
932158456055
1011306680700
114882365617
122236701bb8
1310b2624213
14793902660
1546296c935
hex2a1ee417c

11306680700 has 72 divisors (see below), whose sum is σ = 28724557344. Its totient is φ = 3782016000.

The previous prime is 11306680661. The next prime is 11306680711. The reversal of 11306680700 is 708660311.

11306680700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168281 + ... + 225680.

Almost surely, 211306680700 is an apocalyptic number.

11306680700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11306680700 is an abundant number, since it is smaller than the sum of its proper divisors (17417876644).

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

11306680700 is a wasteful number, since it uses less digits than its factorization.

11306680700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394023 (or 394016 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 11306680700 in words is "eleven billion, three hundred six million, six hundred eighty thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 1025 1148 1435 2050 2870 4100 5740 7175 14350 28700 393961 787922 1575844 1969805 2757727 3939610 5515454 7879220 9849025 11030908 13788635 16152401 19698050 27577270 32304802 39396100 55154540 64609604 68943175 80762005 113066807 137886350 161524010 226133614 275772700 323048020 403810025 452267228 565334035 807620050 1130668070 1615240100 2261336140 2826670175 5653340350 11306680700