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20410122040 = 23571137179099
BaseRepresentation
bin10011000000100010…
…011011111100111000
31221200102020121220221
4103000202123330320
5313244442401130
613213135425424
71321532113660
oct230042337470
957612217827
1020410122040
118723a88860
123b57385274
131c036514b9
14db89631a0
157e6c7d87a
hex4c089bf38

20410122040 has 128 divisors (see below), whose sum is σ = 58802112000. Its totient is φ = 6189626880.

The previous prime is 20410122011. The next prime is 20410122059. The reversal of 20410122040 is 4022101402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24411 + ... + 203509.

It is an arithmetic number, because the mean of its divisors is an integer number (459391500).

Almost surely, 220410122040 is an apocalyptic number.

20410122040 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 20410122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29401056000).

20410122040 is an abundant number, since it is smaller than the sum of its proper divisors (38391989960).

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

20410122040 is a wasteful number, since it uses less digits than its factorization.

20410122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179165 (or 179161 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20410122040 its reverse (4022101402), we get a palindrome (24432223442).

The spelling of 20410122040 in words is "twenty billion, four hundred ten million, one hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 37 40 44 55 56 70 74 77 88 110 140 148 154 185 220 259 280 296 308 370 385 407 440 518 616 740 770 814 1036 1295 1480 1540 1628 2035 2072 2590 2849 3080 3256 4070 5180 5698 8140 10360 11396 14245 16280 22792 28490 56980 113960 179099 358198 716396 895495 1253693 1432792 1790990 1970089 2507386 3581980 3940178 5014772 6268465 6626663 7163960 7880356 9850445 10029544 12536930 13253326 13790623 15760712 19700890 25073860 26506652 27581246 33133315 39401780 46386641 50147720 53013304 55162492 66266630 68953115 72893293 78803560 92773282 110324984 132533260 137906230 145786586 185546564 231933205 265066520 275812460 291573172 364466465 371093128 463866410 510253051 551624920 583146344 728932930 927732820 1020506102 1457865860 1855465640 2041012204 2551265255 2915731720 4082024408 5102530510 10205061020 20410122040