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20120112102020 = 22571072203609683
BaseRepresentation
bin1001001001100100101000…
…01000100111101010000100
32122020110112012120111012212
410210302110020213222010
510114121442144231040
6110443015113202552
74144426064032220
oct444622410475204
978213465514185
1020120112102020
11645798982a057
12230b4b4a00458
13b2c41a78b158
144d7b66425780
1524d584ad1d65
hex124c94227a84

20120112102020 has 96 divisors (see below), whose sum is σ = 48761765434368. Its totient is φ = 6830740559232.

The previous prime is 20120112102019. The next prime is 20120112102037. The reversal of 20120112102020 is 2020121102102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20120112101986 and 20120112102004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32696099 + ... + 33305781.

It is an arithmetic number, because the mean of its divisors is an integer number (507935056608).

Almost surely, 220120112102020 is an apocalyptic number.

20120112102020 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 20120112102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24380882717184).

20120112102020 is an abundant number, since it is smaller than the sum of its proper divisors (28641653332348).

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

20120112102020 is a wasteful number, since it uses less digits than its factorization.

20120112102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612009 (or 612007 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20120112102020 its reverse (2020121102102), we get a palindrome (22140233204122).

The spelling of 20120112102020 in words is "twenty trillion, one hundred twenty billion, one hundred twelve million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1498 2140 2203 2996 3745 4406 7490 8812 11015 14980 15421 22030 30842 44060 61684 77105 154210 235721 308420 471442 609683 942884 1178605 1219366 1650047 2357210 2438732 3048415 3300094 4267781 4714420 6096830 6600188 8250235 8535562 12193660 16500470 17071124 21338905 33000940 42677810 65236081 85355620 130472162 260944324 326180405 456652567 652360810 913305134 1304721620 1343131649 1826610268 2283262835 2686263298 4566525670 5372526596 6715658245 9133051340 9401921543 13431316490 18803843086 26862632980 37607686172 47009607715 94019215430 143715086443 188038430860 287430172886 574860345772 718575432215 1006005605101 1437150864430 2012011210202 2874301728860 4024022420404 5030028025505 10060056051010 20120112102020