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212020300032 = 283449614851
BaseRepresentation
bin1100010101110101100…
…1010000100100000000
3202021021001121012020220
43011131121100210000
511433204144100112
6241222322503040
721214026546342
oct3053531204400
9667231535226
10212020300032
1181a0aa28562
1235111204a80
1316cbb740848
14a3946a5292
1557ad8a498c
hex315d650900

212020300032 has 72 divisors (see below), whose sum is σ = 565540869600. Its totient is φ = 70515916800.

The previous prime is 212020299947. The next prime is 212020300049. The reversal of 212020300032 is 230003020212.

It is a junction number, because it is equal to n+sod(n) for n = 212020299984 and 212020300020.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37407 + ... + 652257.

It is an arithmetic number, because the mean of its divisors is an integer number (7854734300).

Almost surely, 2212020300032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212020300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282770434800).

212020300032 is an abundant number, since it is smaller than the sum of its proper divisors (353520569568).

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

212020300032 is an equidigital number, since it uses as much as digits as its factorization.

212020300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615319 (or 615305 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 212020300032 its reverse (230003020212), we get a palindrome (442023320244).

The spelling of 212020300032 in words is "two hundred twelve billion, twenty million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 449 768 898 1347 1796 2694 3592 5388 7184 10776 14368 21552 28736 43104 57472 86208 114944 172416 344832 614851 1229702 1844553 2459404 3689106 4918808 7378212 9837616 14756424 19675232 29512848 39350464 59025696 78700928 118051392 157401856 236102784 276068099 472205568 552136198 828204297 1104272396 1656408594 2208544792 3312817188 4417089584 6625634376 8834179168 13251268752 17668358336 26502537504 35336716672 53005075008 70673433344 106010150016 212020300032