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20132103120 = 2435177017039
BaseRepresentation
bin10010101111111101…
…111000001111010000
31220222001002210122220
4102233331320033100
5312212304244440
613125404501040
71311615024123
oct225775701720
956861083586
1020132103120
1185a1058058
123a9a24a780
131b8ab7b76c
14d8da723ba
157cc6628d0
hex4aff783d0

20132103120 has 160 divisors (see below), whose sum is σ = 66184335360. Its totient is φ = 5044838400.

The previous prime is 20132103107. The next prime is 20132103127. The reversal of 20132103120 is 2130123102.

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 20132103120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132103127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2856561 + ... + 2863599.

It is an arithmetic number, because the mean of its divisors is an integer number (413652096).

Almost surely, 220132103120 is an apocalyptic number.

20132103120 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 20132103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33092167680).

20132103120 is an abundant number, since it is smaller than the sum of its proper divisors (46052232240).

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

20132103120 is a wasteful number, since it uses less digits than its factorization.

20132103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7773 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20132103120 its reverse (2130123102), we get a palindrome (22262226222).

The spelling of 20132103120 in words is "twenty billion, one hundred thirty-two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 701 816 1020 1360 1402 2040 2103 2804 3505 4080 4206 5608 7010 7039 8412 10515 11216 11917 14020 14078 16824 21030 21117 23834 28040 28156 33648 35195 35751 42060 42234 47668 56080 56312 59585 70390 71502 84120 84468 95336 105585 112624 119170 119663 140780 143004 168240 168936 178755 190672 211170 238340 239326 281560 286008 337872 357510 358989 422340 476680 478652 563120 572016 598315 715020 717978 844680 953360 957304 1196630 1430040 1435956 1689360 1794945 1914608 2393260 2860080 2871912 3589890 4786520 4934339 5743824 7179780 9573040 9868678 14359560 14803017 19737356 24671695 28719120 29606034 39474712 49343390 59212068 74015085 78949424 83883763 98686780 118424136 148030170 167767526 197373560 236848272 251651289 296060340 335535052 394747120 419418815 503302578 592120680 671070104 838837630 1006605156 1184241360 1258256445 1342140208 1677675260 2013210312 2516512890 3355350520 4026420624 5033025780 6710701040 10066051560 20132103120