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12020131035020 = 22531191229344267
BaseRepresentation
bin1010111011101010011110…
…1000111111011110001100
31120120010001121011122022002
42232322213220333132030
53033414212021110040
641321545540011432
72350266024000503
oct256724750773614
946503047148262
1012020131035020
113914788672429
1214216b9690b78
13692655286124
142d7ac545383a
1515ca10421a15
hexaeea7a3f78c

12020131035020 has 96 divisors (see below), whose sum is σ = 26204978774016. Its totient is φ = 4626469843200.

The previous prime is 12020131034983. The next prime is 12020131035037. The reversal of 12020131035020 is 2053013102021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12020131034983 and 12020131035001.

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, 271514927 + ... + 271559193.

It is an arithmetic number, because the mean of its divisors is an integer number (272968528896).

Almost surely, 212020131035020 is an apocalyptic number.

12020131035020 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 12020131035020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13102489387008).

12020131035020 is an abundant number, since it is smaller than the sum of its proper divisors (14184847738996).

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

12020131035020 is a wasteful number, since it uses less digits than its factorization.

12020131035020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46791 (or 46789 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 12020131035020 its reverse (2053013102021), we get a palindrome (14073144137041).

The spelling of 12020131035020 in words is "twelve trillion, twenty billion, one hundred thirty-one million, thirty-five thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 191 310 382 620 764 955 1910 2293 3820 4586 5921 9172 11465 11842 22930 23684 29605 44267 45860 59210 71083 88534 118420 142166 177068 221335 284332 355415 437963 442670 710830 875926 885340 1372277 1421660 1751852 2189815 2744554 4379630 5489108 6861385 8454997 8759260 13576853 13722770 16909994 27153706 27445540 33819988 42274985 54307412 67884265 84549970 101504231 135768530 169099940 203008462 262104907 271537060 406016924 507521155 524209814 1015042310 1048419628 1310524535 2030084620 2621049070 3146631161 5242098140 6293262322 12586524644 15733155805 19387308121 31466311610 38774616242 62932623220 77549232484 96936540605 193873081210 387746162420 601006551751 1202013103502 2404026207004 3005032758755 6010065517510 12020131035020