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11311221450 = 23524110717189
BaseRepresentation
bin10101000100011001…
…11000101011001010
31002012022001120210210
422202030320223022
5141131133041300
65110222421550
7550205540004
oct124214705312
932168046723
1011311221450
114884987101
1222381318b6
1310b3553c59
14794365374
15463068050
hex2a2338aca

11311221450 has 96 divisors (see below), whose sum is σ = 29006268480. Its totient is φ = 2915084800.

The previous prime is 11311221443. The next prime is 11311221461. The reversal of 11311221450 is 5412211311.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649456 + ... + 666644.

It is an arithmetic number, because the mean of its divisors is an integer number (302148630).

Almost surely, 211311221450 is an apocalyptic number.

11311221450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11311221450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14503134240).

11311221450 is an abundant number, since it is smaller than the sum of its proper divisors (17695047030).

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

11311221450 is a wasteful number, since it uses less digits than its factorization.

11311221450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17352 (or 17347 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 11311221450 its reverse (5412211311), we get a palindrome (16723432761).

The spelling of 11311221450 in words is "eleven billion, three hundred eleven million, two hundred twenty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 107 123 150 205 214 246 321 410 535 615 642 1025 1070 1230 1605 2050 2675 3075 3210 4387 5350 6150 8025 8774 13161 16050 17189 21935 26322 34378 43870 51567 65805 85945 103134 109675 131610 171890 219350 257835 329025 429725 515670 658050 704749 859450 1289175 1409498 1839223 2114247 2578350 3523745 3678446 4228494 5517669 7047490 9196115 10571235 11035338 17618725 18392230 21142470 27588345 35237450 45980575 52856175 55176690 75408143 91961150 105712350 137941725 150816286 226224429 275883450 377040715 452448858 754081430 1131122145 1885203575 2262244290 3770407150 5655610725 11311221450