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21211111240 = 2351125974279
BaseRepresentation
bin10011110000010001…
…111101111101001000
32000202020110002112121
4103300101331331020
5321420021024430
613424431421024
71350426320314
oct236021757510
960666402477
1021211111240
118aa5134900
12413b684774
13200058c6c7
1410530a8b44
1584224da7a
hex4f047df48

21211111240 has 96 divisors (see below), whose sum is σ = 53347896000. Its totient is φ = 7582298240.

The previous prime is 21211111147. The next prime is 21211111253. The reversal of 21211111240 is 4211111212.

It is a super-2 number, since 2×212111112402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248421 + ... + 322699.

It is an arithmetic number, because the mean of its divisors is an integer number (555707250).

Almost surely, 221211111240 is an apocalyptic number.

21211111240 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 21211111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26673948000).

21211111240 is an abundant number, since it is smaller than the sum of its proper divisors (32136784760).

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

21211111240 is a wasteful number, since it uses less digits than its factorization.

21211111240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74371 (or 74356 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21211111240 its reverse (4211111212), we get a palindrome (25422222452).

The spelling of 21211111240 in words is "twenty-one billion, two hundred eleven million, one hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 121 220 236 242 295 440 472 484 590 605 649 968 1180 1210 1298 2360 2420 2596 3245 4840 5192 6490 7139 12980 14278 25960 28556 35695 57112 71390 74279 142780 148558 285560 297116 371395 594232 742790 817069 1485580 1634138 2971160 3268276 4085345 4382461 6536552 8170690 8764922 8987759 16341380 17529844 17975518 21912305 32682760 35059688 35951036 43824610 44938795 48207071 71902072 87649220 89877590 96414142 175298440 179755180 192828284 241035355 359510360 385656568 482070710 530277781 964141420 1060555562 1928282840 2121111124 2651388905 4242222248 5302777810 10605555620 21211111240