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20201001102120 = 23353734273132751
BaseRepresentation
bin1001001011111011010010…
…11111101010101100101000
32122112012022111111110002110
410211331221133222230220
510121433122240231440
6110544113425202320
74153321432136646
oct445755137525450
978465274443073
1020201001102120
116489218535063
12232310a4903a0
13b36c3bb37917
144dba3b296196
1525071b158080
hex125f697eab28

20201001102120 has 128 divisors (see below), whose sum is σ = 62243207216640. Its totient is φ = 5241148416000.

The previous prime is 20201001102077. The next prime is 20201001102263. The reversal of 20201001102120 is 2120110010202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20201001102096 and 20201001102105.

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, 152105745 + ... + 152238495.

It is an arithmetic number, because the mean of its divisors is an integer number (486275056380).

Almost surely, 220201001102120 is an apocalyptic number.

20201001102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201001102120 is an abundant number, since it is smaller than the sum of its proper divisors (42042206114520).

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

20201001102120 is a wasteful number, since it uses less digits than its factorization.

20201001102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167075 (or 167071 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20201001102120 its reverse (2120110010202), we get a palindrome (22321111112322).

The spelling of 20201001102120 in words is "twenty trillion, two hundred one billion, one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 34273 68546 102819 132751 137092 171365 205638 265502 274184 342730 398253 411276 514095 531004 663755 685460 796506 822552 1028190 1062008 1268101 1327510 1370920 1593012 1991265 2056380 2536202 2655020 3186024 3804303 3982530 4112760 4911787 5072404 5310040 6340505 7608606 7965060 9823574 10144808 12681010 14735361 15217212 15930120 19021515 19647148 24558935 25362020 29470722 30434424 38043030 39294296 49117870 50724040 58941444 73676805 76086060 98235740 117882888 147353610 152172120 196471480 294707220 589414440 4549775023 9099550046 13649325069 18199100092 22748875115 27298650138 36398200184 45497750230 54597300276 68246625345 90995500460 109194600552 136493250690 168341675851 181991000920 272986501380 336683351702 505025027553 545973002760 673366703404 841708379255 1010050055106 1346733406808 1683416758510 2020100110212 2525125137765 3366833517020 4040200220424 5050250275530 6733667034040 10100500551060 20201001102120