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11281291000 = 235371611613
BaseRepresentation
bin10101000000110101…
…01101011011111000
31002010012201221221121
422200122231123320
5141101002303000
65103233115024
7546363251140
oct124032553370
932105657847
1011281291000
114869aa39a1
12222a0b8a74
1310aa2a4825
147903b3920
15460604b1a
hex2a06ad6f8

11281291000 has 64 divisors (see below), whose sum is σ = 30169414080. Its totient is φ = 3867868800.

The previous prime is 11281290931. The next prime is 11281291019. The reversal of 11281291000 is 19218211.

11281291000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 798807 + ... + 812806.

It is an arithmetic number, because the mean of its divisors is an integer number (471397095).

Almost surely, 211281291000 is an apocalyptic number.

11281291000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11281291000 is an abundant number, since it is smaller than the sum of its proper divisors (18888123080).

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

11281291000 is a wasteful number, since it uses less digits than its factorization.

11281291000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611641 (or 1611627 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 11281291000 in words is "eleven billion, two hundred eighty-one million, two hundred ninety-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 1611613 3223226 6446452 8058065 11281291 12892904 16116130 22562582 32232260 40290325 45125164 56406455 64464520 80580650 90250328 112812910 161161300 201451625 225625820 282032275 322322600 402903250 451251640 564064550 805806500 1128129100 1410161375 1611613000 2256258200 2820322750 5640645500 11281291000