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101411213220 = 22335493738039
BaseRepresentation
bin101111001110010010…
…1000100111110100100
3100200202112002101212000
41132130211010332210
53130142232310340
6114330534125300
710220031042522
oct1363445047644
9320675071760
10101411213220
113a00aa93519
12177a24b0830
139741cb6055
144ca0651312
152988096d30
hex179c944fa4

101411213220 has 96 divisors (see below), whose sum is σ = 315573753600. Its totient is φ = 27036801792.

The previous prime is 101411213219. The next prime is 101411213231. The reversal of 101411213220 is 22312114101.

101411213220 is a `hidden beast` number, since 10 + 1 + 411 + 21 + 3 + 220 = 666.

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 = 101411213193 and 101411213202.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2646961 + ... + 2684999.

It is an arithmetic number, because the mean of its divisors is an integer number (3287226600).

Almost surely, 2101411213220 is an apocalyptic number.

101411213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101411213220 is an abundant number, since it is smaller than the sum of its proper divisors (214162540380).

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

101411213220 is a wasteful number, since it uses less digits than its factorization.

101411213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42994 (or 42986 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101411213220 its reverse (22312114101), we get a palindrome (123723327321).

The spelling of 101411213220 in words is "one hundred one billion, four hundred eleven million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4937 9874 14811 19748 24685 29622 38039 44433 49370 59244 74055 76078 88866 98740 114117 133299 148110 152156 177732 190195 222165 228234 266598 296220 342351 380390 444330 456468 533196 570585 666495 684702 760780 888660 1027053 1141170 1332990 1369404 1711755 2054106 2282340 2665980 3423510 4108212 5135265 6847020 10270530 20541060 187798543 375597086 563395629 751194172 938992715 1126791258 1690186887 1877985430 2253582516 2816978145 3380373774 3755970860 5070560661 5633956290 6760747548 8450934435 10141121322 11267912580 16901868870 20282242644 25352803305 33803737740 50705606610 101411213220