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120201011020 = 225101569104579
BaseRepresentation
bin110111111110010001…
…0011101111101001100
3102111021000102000210001
41233330202131331030
53432132424323040
6131115232454044
711453456510236
oct1577442357514
9374230360701
10120201011020
1146a82378732
121b3670aa324
13b447a368bc
145b63d0d256
1531d795e59a
hex1bfc89df4c

120201011020 has 48 divisors (see below), whose sum is σ = 255371810400. Its totient is φ = 47520243200.

The previous prime is 120201010991. The next prime is 120201011023. The reversal of 120201011020 is 20110102021.

It is a super-2 number, since 2×1202010110202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120201010988 and 120201011006.

It is not an unprimeable number, because it can be changed into a prime (120201011023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1097091 + ... + 1201669.

It is an arithmetic number, because the mean of its divisors is an integer number (5320246050).

Almost surely, 2120201011020 is an apocalyptic number.

120201011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120201011020 is an abundant number, since it is smaller than the sum of its proper divisors (135170799380).

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

120201011020 is a wasteful number, since it uses less digits than its factorization.

120201011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105258 (or 105256 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120201011020 its reverse (20110102021), we get a palindrome (140311113041).

The spelling of 120201011020 in words is "one hundred twenty billion, two hundred one million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 569 1010 1138 2020 2276 2845 5690 11380 57469 104579 114938 209158 229876 287345 418316 522895 574690 1045790 1149380 2091580 10562479 21124958 42249916 52812395 59505451 105624790 119010902 211249580 238021804 297527255 595054510 1190109020 6010050551 12020101102 24040202204 30050252755 60100505510 120201011020