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201111244440 = 233559101281243
BaseRepresentation
bin1011101101001100101…
…0100000111010011000
3201020002210021202021220
42323103022200322120
511243333434310230
6232220023532040
720346503241501
oct2732312407230
9636083252256
10201111244440
1178322066637
1232b878ba020
1315c70608c72
149a3b909ba8
155370ccbd10
hex2ed32a0e98

201111244440 has 128 divisors (see below), whose sum is σ = 619636780800. Its totient is φ = 52198515200.

The previous prime is 201111244429. The next prime is 201111244447. The reversal of 201111244440 is 44442111102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201111244440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201111244447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574459 + ... + 855701.

It is an arithmetic number, because the mean of its divisors is an integer number (4840912350).

Almost surely, 2201111244440 is an apocalyptic number.

201111244440 is a gapful number since it is divisible by the number (20) 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 201111244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309818390400).

201111244440 is an abundant number, since it is smaller than the sum of its proper divisors (418525536360).

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

201111244440 is a wasteful number, since it uses less digits than its factorization.

201111244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281417 (or 281413 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 201111244440 its reverse (44442111102), we get a palindrome (245553355542).

The spelling of 201111244440 in words is "two hundred one billion, one hundred eleven million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 101 118 120 177 202 236 295 303 354 404 472 505 590 606 708 808 885 1010 1180 1212 1416 1515 1770 2020 2360 2424 3030 3540 4040 5959 6060 7080 11918 12120 17877 23836 29795 35754 47672 59590 71508 89385 119180 143016 178770 238360 281243 357540 562486 715080 843729 1124972 1406215 1687458 2249944 2812430 3374916 4218645 5624860 6749832 8437290 11249720 16593337 16874580 28405543 33186674 33749160 49780011 56811086 66373348 82966685 85216629 99560022 113622172 132746696 142027715 165933370 170433258 199120044 227244344 248900055 284055430 331866740 340866516 398240088 426083145 497800110 568110860 663733480 681733032 852166290 995600220 1136221720 1675927037 1704332580 1991200440 3351854074 3408665160 5027781111 6703708148 8379635185 10055562222 13407416296 16759270370 20111124444 25138905555 33518540740 40222248888 50277811110 67037081480 100555622220 201111244440