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212412031020 = 2233571919715013
BaseRepresentation
bin1100010111010010111…
…1100110000000101100
3202022021100201012011000
43011310233212000230
511440004434443040
6241325235000300
721226524321240
oct3056457460054
9668240635130
10212412031020
11820a1065882
1235200439090
1317051948427
14a3d0716420
1557d2e83130
hex3174be602c

212412031020 has 384 divisors, whose sum is σ = 799081113600. Its totient is φ = 45759458304.

The previous prime is 212412031019. The next prime is 212412031021. The reversal of 212412031020 is 20130214212.

It is a happy number.

212412031020 is a `hidden beast` number, since 212 + 4 + 120 + 310 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (212412031019) and next prime (212412031021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212412030984 and 212412031002.

It is not an unprimeable number, because it can be changed into a prime (212412031021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14141034 + ... + 14156046.

It is an arithmetic number, because the mean of its divisors is an integer number (2080940400).

Almost surely, 2212412031020 is an apocalyptic number.

212412031020 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 212412031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399540556800).

212412031020 is an abundant number, since it is smaller than the sum of its proper divisors (586669082580).

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

212412031020 is a wasteful number, since it uses less digits than its factorization.

212412031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15254 (or 15246 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212412031020 its reverse (20130214212), we get a palindrome (232542245232).

The spelling of 212412031020 in words is "two hundred twelve billion, four hundred twelve million, thirty-one thousand, twenty".