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11141132300 = 22524314917389
BaseRepresentation
bin10100110000001000…
…00011000000001100
31001202110000011100122
422120010003000030
5140304112213200
65041305044112
7543042030164
oct123004030014
931673004318
1011141132300
1147a7973661
1221ab186638
13108724019c
1477992b5a4
1545316b385
hex29810300c

11141132300 has 72 divisors (see below), whose sum is σ = 24905958000. Its totient is φ = 4323352320.

The previous prime is 11141132297. The next prime is 11141132339. The reversal of 11141132300 is 323114111.

It is a super-2 number, since 2×111411323002 (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 23 ways as a sum of consecutive naturals, for example, 632006 + ... + 649394.

Almost surely, 211141132300 is an apocalyptic number.

11141132300 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 11141132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12452979000).

11141132300 is an abundant number, since it is smaller than the sum of its proper divisors (13764825700).

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

11141132300 is a wasteful number, since it uses less digits than its factorization.

11141132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17595 (or 17588 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 11141132300 its reverse (323114111), we get a palindrome (11464246411).

The spelling of 11141132300 in words is "eleven billion, one hundred forty-one million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 149 172 215 298 430 596 745 860 1075 1490 2150 2980 3725 4300 6407 7450 12814 14900 17389 25628 32035 34778 64070 69556 86945 128140 160175 173890 320350 347780 434725 640700 747727 869450 1495454 1738900 2590961 2990908 3738635 5181922 7477270 10363844 12954805 14954540 18693175 25909610 37386350 51819220 64774025 74772700 111411323 129548050 222822646 259096100 445645292 557056615 1114113230 2228226460 2785283075 5570566150 11141132300