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1211145540 = 22351110118169
BaseRepresentation
bin100100000110000…
…1001110101000100
310010101222120100020
41020030021311010
54440023124130
6320103015140
742004365363
oct11014116504
93111876306
101211145540
11571729630
1229973a4b0
13163bc7587
14b6bd17da
15714dce10
hex48309d44

1211145540 has 96 divisors (see below), whose sum is σ = 3736333440. Its totient is φ = 290688000.

The previous prime is 1211145539. The next prime is 1211145563. The reversal of 1211145540 is 455411121.

It is a self number, because there is not a number n which added to its sum of digits gives 1211145540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57576 + ... + 75744.

It is an arithmetic number, because the mean of its divisors is an integer number (38920140).

Almost surely, 21211145540 is an apocalyptic number.

1211145540 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 1211145540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868166720).

1211145540 is an abundant number, since it is smaller than the sum of its proper divisors (2525187900).

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

1211145540 is a wasteful number, since it uses less digits than its factorization.

1211145540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18293 (or 18291 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 1211145540 is about 34801.5163462743. The cubic root of 1211145540 is about 1065.9384089343.

Adding to 1211145540 its reverse (455411121), we get a palindrome (1666556661).

The spelling of 1211145540 in words is "one billion, two hundred eleven million, one hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 18169 22220 33330 36338 54507 66660 72676 90845 109014 181690 199859 218028 272535 363380 399718 545070 599577 799436 999295 1090140 1199154 1835069 1998590 2398308 2997885 3670138 3997180 5505207 5995770 7340276 9175345 11010414 11991540 18350690 20185759 22020828 27526035 36701380 40371518 55052070 60557277 80743036 100928795 110104140 121114554 201857590 242229108 302786385 403715180 605572770 1211145540