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11210021240 = 2351159617079
BaseRepresentation
bin10100111000010101…
…10101100101111000
31001221020122002012212
422130022311211320
5140424231134430
65052205354252
7544536415445
oct123412654570
931836562185
1011210021240
114832845970
12220a268988
1310985b0082
14784b409cc
15459227b95
hex29c2b5978

11210021240 has 128 divisors (see below), whose sum is σ = 28444608000. Its totient is φ = 3941030400.

The previous prime is 11210021219. The next prime is 11210021257. The reversal of 11210021240 is 4212001211.

It is a happy number.

11210021240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112100212402 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1580021 + ... + 1587099.

It is an arithmetic number, because the mean of its divisors is an integer number (222223500).

Almost surely, 211210021240 is an apocalyptic number.

11210021240 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 11210021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14222304000).

11210021240 is an abundant number, since it is smaller than the sum of its proper divisors (17234586760).

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

11210021240 is a wasteful number, since it uses less digits than its factorization.

11210021240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7221 (or 7217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11210021240 its reverse (4212001211), we get a palindrome (15422022451).

The spelling of 11210021240 in words is "eleven billion, two hundred ten million, twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 61 88 110 118 122 220 236 244 295 305 440 472 488 590 610 649 671 1180 1220 1298 1342 2360 2440 2596 2684 3245 3355 3599 5192 5368 6490 6710 7079 7198 12980 13420 14158 14396 17995 25960 26840 28316 28792 35395 35990 39589 56632 70790 71980 77869 79178 141580 143960 155738 158356 197945 283160 311476 316712 389345 395890 417661 431819 622952 778690 791780 835322 863638 1557380 1583560 1670644 1727276 2088305 2159095 3114760 3341288 3454552 4176610 4318190 4594271 4750009 8353220 8636380 9188542 9500018 16706440 17272760 18377084 19000036 22971355 23750045 25477321 36754168 38000072 45942710 47500090 50954642 91885420 95000180 101909284 127386605 183770840 190000360 203818568 254773210 280250531 509546420 560501062 1019092840 1121002124 1401252655 2242004248 2802505310 5605010620 11210021240