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11321112240 = 2432543365669
BaseRepresentation
bin10101000101100101…
…00111011010110000
31002012222200002102100
422202302213122300
5141141201042430
65111214420400
7550355603064
oct124262473260
932188602370
1011321112240
11488a522209
12223b501700
1310b5607ba9
147957bbaa4
15463d6d960
hex2a2ca76b0

11321112240 has 120 divisors (see below), whose sum is σ = 38904362640. Its totient is φ = 2948746752.

The previous prime is 11321112221. The next prime is 11321112241. The reversal of 11321112240 is 4221112311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11321112241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151875 + ... + 213794.

It is an arithmetic number, because the mean of its divisors is an integer number (324203022).

Almost surely, 211321112240 is an apocalyptic number.

11321112240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11321112240 is an abundant number, since it is smaller than the sum of its proper divisors (27583250400).

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

11321112240 is a wasteful number, since it uses less digits than its factorization.

11321112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365731 (or 365722 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11321112240 its reverse (4221112311), we get a palindrome (15542224551).

The spelling of 11321112240 in words is "eleven billion, three hundred twenty-one million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 688 720 774 860 1032 1290 1548 1720 1935 2064 2580 3096 3440 3870 5160 6192 7740 10320 15480 30960 365669 731338 1097007 1462676 1828345 2194014 2925352 3291021 3656690 4388028 5485035 5850704 6582042 7313380 8776056 10970070 13164084 14626760 15723767 16455105 17552112 21940140 26328168 29253520 31447534 32910210 43880280 47171301 52656336 62895068 65820420 78618835 87760560 94342602 125790136 131640840 141513903 157237670 188685204 235856505 251580272 263281680 283027806 314475340 377370408 471713010 566055612 628950680 707569515 754740816 943426020 1132111224 1257901360 1415139030 1886852040 2264222448 2830278060 3773704080 5660556120 11321112240