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120404311020 = 223257923910343
BaseRepresentation
bin111000000100010100…
…1111111101111101100
3102111210011221201221200
41300020221333233230
53433042000423040
6131151334125500
711461505520510
oct1601051775754
9374704851850
10120404311020
1147077104a64
121b4031b0890
13b47aba7c66
145b82d10140
1531ea71b630
hex1c08a7fbec

120404311020 has 144 divisors (see below), whose sum is σ = 417487150080. Its totient is φ = 27515346048.

The previous prime is 120404310977. The next prime is 120404311021. The reversal of 120404311020 is 20113404021.

120404311020 is a `hidden beast` number, since 1 + 204 + 0 + 431 + 10 + 20 = 666.

It is a super-2 number, since 2×1204043110202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 120404310984 and 120404311002.

It is not an unprimeable number, because it can be changed into a prime (120404311021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11635969 + ... + 11646311.

It is an arithmetic number, because the mean of its divisors is an integer number (2899216320).

Almost surely, 2120404311020 is an apocalyptic number.

120404311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120404311020 is an abundant number, since it is smaller than the sum of its proper divisors (297082839060).

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

120404311020 is a wasteful number, since it uses less digits than its factorization.

120404311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19604 (or 19599 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120404311020 its reverse (20113404021), we get a palindrome (140517715041).

The spelling of 120404311020 in words is "one hundred twenty billion, four hundred four million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 9239 10343 18478 20686 27717 31029 36956 41372 46195 51715 55434 62058 64673 72401 83151 92390 93087 103430 110868 124116 129346 138585 144802 155145 166302 184780 186174 194019 206860 217203 258692 277170 289604 310290 323365 332604 362005 372348 388038 415755 434406 465435 554340 582057 620580 646730 651609 724010 776076 831510 868812 930870 970095 1086015 1164114 1293460 1303218 1448020 1663020 1861740 1940190 2172030 2328228 2606436 2910285 3258045 3880380 4344060 5820570 6516090 11641140 13032180 95558977 191117954 286676931 382235908 477794885 573353862 668912839 860030793 955589770 1146707724 1337825678 1433384655 1720061586 1911179540 2006738517 2675651356 2866769310 3344564195 3440123172 4013477034 4300153965 5733538620 6020215551 6689128390 8026954068 8600307930 10033692585 12040431102 13378256780 17200615860 20067385170 24080862204 30101077755 40134770340 60202155510 120404311020