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103101122220 = 22357321272539
BaseRepresentation
bin110000000000101001…
…1100100011010101100
3100212010021221200012020
41200001103210122230
53142122341402340
6115210342510140
710306641036105
oct1400123443254
9325107850166
10103101122220
113a7a7994128
1217b94435350
13995113b4c5
144dc0c6b3ac
152a366059d0
hex18014e46ac

103101122220 has 144 divisors (see below), whose sum is σ = 295112724480. Its totient is φ = 26892891648.

The previous prime is 103101122213. The next prime is 103101122261. The reversal of 103101122220 is 22221101301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103101122220.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40605711 + ... + 40608249.

It is an arithmetic number, because the mean of its divisors is an integer number (2049393920).

Almost surely, 2103101122220 is an apocalyptic number.

103101122220 is a gapful number since it is divisible by the number (10) 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 103101122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147556362240).

103101122220 is an abundant number, since it is smaller than the sum of its proper divisors (192011602260).

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

103101122220 is a wasteful number, since it uses less digits than its factorization.

103101122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 103101122220 its reverse (22221101301), we get a palindrome (125322223521).

The spelling of 103101122220 in words is "one hundred three billion, one hundred one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 127 146 219 254 292 365 381 438 508 635 730 762 876 1095 1270 1460 1524 1905 2190 2539 2540 3810 4380 5078 5329 7617 7620 9271 10156 10658 12695 15234 15987 18542 21316 25390 26645 27813 30468 31974 37084 38085 46355 50780 53290 55626 63948 76170 79935 92710 106580 111252 139065 152340 159870 185347 185420 278130 319740 322453 370694 556041 556260 644906 676783 741388 926735 967359 1112082 1289812 1353566 1612265 1853470 1934718 2030349 2224164 2707132 2780205 3224530 3383915 3706940 3869436 4060698 4836795 5560410 6449060 6767830 8121396 9673590 10151745 11120820 13530331 13535660 19347180 20303490 23539069 27060662 40590993 40606980 47078138 54121324 67651655 70617207 81181986 94156276 117695345 135303310 141234414 162363972 202954965 235390690 270606620 282468828 353086035 405909930 470781380 706172070 811819860 1412344140 1718352037 3436704074 5155056111 6873408148 8591760185 10310112222 17183520370 20620224444 25775280555 34367040740 51550561110 103101122220