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31110244240 = 2457943911213
BaseRepresentation
bin11100111110010100…
…001010011110010000
32222022010102011011011
4130332110022132100
51002203210303430
622143012300304
72150640466345
oct347624123620
988263364134
1031110244240
1112214a15a59
126042911694
132c1a3c185a
141711a927cc
15c2133522a
hex73e50a790

31110244240 has 80 divisors (see below), whose sum is σ = 73420300800. Its totient is φ = 12257496576.

The previous prime is 31110244219. The next prime is 31110244261. The reversal of 31110244240 is 4244201113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31110244219) and next prime (31110244261).

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 2768874 + ... + 2780086.

It is an arithmetic number, because the mean of its divisors is an integer number (917753760).

Almost surely, 231110244240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31110244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36710150400).

31110244240 is an abundant number, since it is smaller than the sum of its proper divisors (42310056560).

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

31110244240 is a wasteful number, since it uses less digits than its factorization.

31110244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11744 (or 11738 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 31110244240 its reverse (4244201113), we get a palindrome (35354445353).

The spelling of 31110244240 in words is "thirty-one billion, one hundred ten million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 439 632 790 878 1264 1580 1756 2195 3160 3512 4390 6320 7024 8780 11213 17560 22426 34681 35120 44852 56065 69362 89704 112130 138724 173405 179408 224260 277448 346810 448520 554896 693620 885827 897040 1387240 1771654 2774480 3543308 4429135 4922507 7086616 8858270 9845014 14173232 17716540 19690028 24612535 35433080 39380056 49225070 70866160 78760112 98450140 196900280 388878053 393800560 777756106 1555512212 1944390265 3111024424 3888780530 6222048848 7777561060 15555122120 31110244240