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11291801140 = 22559127151499
BaseRepresentation
bin10101000010000101…
…10011011000110100
31002010221111221011001
422201002303120310
5141111200114030
65104250253044
7546551504014
oct124102633064
932127457131
1011291801140
114874a22364
122231727184
1310ac514649
1479194bc44
154614cdcca
hex2a10b3634

11291801140 has 96 divisors (see below), whose sum is σ = 24514560000. Its totient is φ = 4367260800.

The previous prime is 11291801117. The next prime is 11291801153. The reversal of 11291801140 is 4110819211.

It is a junction number, because it is equal to n+sod(n) for n = 11291801099 and 11291801108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22628611 + ... + 22629109.

It is an arithmetic number, because the mean of its divisors is an integer number (255360000).

Almost surely, 211291801140 is an apocalyptic number.

11291801140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11291801140 is an abundant number, since it is smaller than the sum of its proper divisors (13222758860).

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

11291801140 is a wasteful number, since it uses less digits than its factorization.

11291801140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 11291801140 in words is "eleven billion, two hundred ninety-one million, eight hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 59 118 127 151 236 254 295 302 499 508 590 604 635 755 998 1180 1270 1510 1996 2495 2540 3020 4990 7493 8909 9980 14986 17818 19177 29441 29972 35636 37465 38354 44545 58882 63373 74930 75349 76708 89090 95885 117764 126746 147205 149860 150698 178180 191770 253492 294410 301396 316865 376745 383540 588820 633730 753490 1131443 1267460 1506980 2262886 3739007 4445591 4525772 5657215 7478014 8891182 9569323 11314430 14956028 17782364 18695035 19138646 22227955 22628860 37390070 38277292 44455910 47846615 74780140 88911820 95693230 191386460 564590057 1129180114 2258360228 2822950285 5645900570 11291801140