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20226012013000 = 235321419446993
BaseRepresentation
bin1001001100101001111000…
…10000101110000111001000
32122121120212112221100211001
410212110330100232013020
510122340333033404000
6111003411315544344
74155165301313323
oct446247420560710
978546775840731
1020226012013000
116498892543642
122327b2a5bb0b4
13b393c66c1481
144dcd30c7d7ba
152511d1c8346a
hex12653c42e1c8

20226012013000 has 64 divisors (see below), whose sum is σ = 47350979086320. Its totient is φ = 8086625152000.

The previous prime is 20226012012967. The next prime is 20226012013003. The reversal of 20226012013000 is 31021062202.

It can be written as a sum of positive squares in 8 ways, for example, as 422497400004 + 19803514612996 = 649998^2 + 4450114^2 .

It is not an unprimeable number, because it can be changed into a prime (20226012013003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2582497 + ... + 6864496.

Almost surely, 220226012013000 is an apocalyptic number.

20226012013000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20226012013000 is an abundant number, since it is smaller than the sum of its proper divisors (27124967073320).

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

20226012013000 is a wasteful number, since it uses less digits than its factorization.

20226012013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9449155 (or 9449141 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20226012013000 its reverse (31021062202), we get a palindrome (20257033075202).

The spelling of 20226012013000 in words is "twenty trillion, two hundred twenty-six billion, twelve million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2141 4282 8564 10705 17128 21410 42820 53525 85640 107050 214100 267625 428200 535250 1070500 2141000 9446993 18893986 37787972 47234965 75575944 94469930 188939860 236174825 377879720 472349650 944699300 1180874125 1889398600 2361748250 4723496500 9446993000 20226012013 40452024026 80904048052 101130060065 161808096104 202260120130 404520240260 505650300325 809040480520 1011300600650 2022601201300 2528251501625 4045202402600 5056503003250 10113006006500 20226012013000