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212020010020 = 225731310123539
BaseRepresentation
bin1100010101110101100…
…0001001110000100100
3202021021001001110102201
43011131120021300210
511433204110310040
6241222312344244
721214024231000
oct3053530116044
9667231043381
10212020010020
1181a0a84a685
12351110a5084
1316cbb66b840
14a39462b700
1557ad848a9a
hex315d609c24

212020010020 has 192 divisors, whose sum is σ = 564734016000. Its totient is φ = 66433651200.

The previous prime is 212020010011. The next prime is 212020010023. The reversal of 212020010020 is 20010020212.

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 = 212020009979 and 212020010006.

It is not an unprimeable number, because it can be changed into a prime (212020010023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8995411 + ... + 9018949.

It is an arithmetic number, because the mean of its divisors is an integer number (2941323000).

Almost surely, 2212020010020 is an apocalyptic number.

212020010020 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 212020010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282367008000).

212020010020 is an abundant number, since it is smaller than the sum of its proper divisors (352714005980).

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

212020010020 is a wasteful number, since it uses less digits than its factorization.

212020010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23683 (or 23667 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 212020010020 its reverse (20010020212), we get a palindrome (232030030232).

The spelling of 212020010020 in words is "two hundred twelve billion, twenty million, ten thousand, twenty".