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11144274310 = 251343271653
BaseRepresentation
bin10100110000100000…
…00010000110000110
31001202122220210101101
422120100002012012
5140310413234220
65041500250314
7543110524441
oct123020020606
931678823341
1011144274310
1147a971a264
1221b024099a
131087aa0370
1477a108658
1545358c30a
hex298402186

11144274310 has 96 divisors (see below), whose sum is σ = 22462671168. Its totient is φ = 3956440320.

The previous prime is 11144274287. The next prime is 11144274313. The reversal of 11144274310 is 1347244111.

11144274310 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111442743102 (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 (11144274313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17065944 + ... + 17066596.

It is an arithmetic number, because the mean of its divisors is an integer number (233986158).

Almost surely, 211144274310 is an apocalyptic number.

11144274310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11144274310 is an abundant number, since it is smaller than the sum of its proper divisors (11318396858).

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

11144274310 is a wasteful number, since it uses less digits than its factorization.

11144274310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 11144274310 in words is "eleven billion, one hundred forty-four million, two hundred seventy-four thousand, three hundred ten".

Divisors: 1 2 5 10 13 26 43 65 71 86 130 142 215 355 430 559 653 710 923 1118 1306 1846 1849 2795 3053 3265 3698 4615 5590 6106 6530 8489 9230 9245 15265 16978 18490 24037 28079 30530 39689 42445 46363 48074 56158 79378 84890 92726 120185 131279 140395 198445 231815 240370 262558 280790 365027 396890 463630 602719 656395 730054 1205438 1207397 1312790 1706627 1825135 1993609 2414794 3013595 3413254 3650270 3987218 6027190 6036985 8533135 9968045 12073970 15696161 17066270 19936090 25916917 31392322 51833834 78480805 85725187 129584585 156961610 171450374 259169170 428625935 857251870 1114427431 2228854862 5572137155 11144274310