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40107202110 = 23351518111213
BaseRepresentation
bin100101010110100100…
…110101011000111110
310211112010202222011000
4211112210311120332
51124114420431420
630231444311130
72616615410253
oct452644653076
9124463688130
1040107202110
1116011519628
1279339a24a6
133a22348271
141d2691542a
15109b110690
hex95693563e

40107202110 has 128 divisors (see below), whose sum is σ = 107882449920. Its totient is φ = 10602576000.

The previous prime is 40107202027. The next prime is 40107202117. The reversal of 40107202110 is 1120270104.

It is a super-2 number, since 2×401072021102 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40107202117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33063864 + ... + 33065076.

It is an arithmetic number, because the mean of its divisors is an integer number (842831640).

Almost surely, 240107202110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40107202110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53941224960).

40107202110 is an abundant number, since it is smaller than the sum of its proper divisors (67775247810).

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

40107202110 is a wasteful number, since it uses less digits than its factorization.

40107202110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 40107202110 its reverse (1120270104), we get a palindrome (41227472214).

The spelling of 40107202110 in words is "forty billion, one hundred seven million, two hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 151 270 302 453 755 811 906 1213 1359 1510 1622 2265 2426 2433 2718 3639 4055 4077 4530 4866 6065 6795 7278 7299 8110 8154 10917 12130 12165 13590 14598 18195 20385 21834 21897 24330 32751 36390 36495 40770 43794 54585 65502 72990 109170 109485 122461 163755 183163 218970 244922 327510 366326 367383 549489 612305 734766 915815 983743 1098978 1102149 1224610 1648467 1831630 1836915 1967486 2204298 2747445 2951229 3296934 3306447 3673830 4918715 4945401 5494890 5510745 5902458 6612894 8242335 8853687 9837430 9890802 11021490 14756145 16484670 16532235 17707374 24727005 26561061 29512290 33064470 44268435 49454010 53122122 88536870 132805305 148545193 265610610 297090386 445635579 742725965 891271158 1336906737 1485451930 2228177895 2673813474 4010720211 4456355790 6684533685 8021440422 13369067370 20053601055 40107202110