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212211032020 = 225132257244297
BaseRepresentation
bin1100010110100011000…
…0110101111111010100
3202021202100111101100121
43011220300311333110
511434102011011040
6241253254521324
721221534003311
oct3055060657724
9667670441317
10212211032020
1181aa86602a9
1235165066244
131701c101500
14a3b1b53d08
1557c04ccc4a
hex3168c35fd4

212211032020 has 72 divisors (see below), whose sum is σ = 484440002424. Its totient is φ = 78049640448.

The previous prime is 212211031999. The next prime is 212211032051. The reversal of 212211032020 is 20230112212.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 40546655044 + 171664376976 = 201362^2 + 414324^2 .

It is a super-2 number, since 2×2122110320202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212211031985 and 212211032003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 746512 + ... + 990808.

It is an arithmetic number, because the mean of its divisors is an integer number (6728333367).

Almost surely, 2212211032020 is an apocalyptic number.

212211032020 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 212211032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242220001212).

212211032020 is an abundant number, since it is smaller than the sum of its proper divisors (272228970404).

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

212211032020 is a wasteful number, since it uses less digits than its factorization.

212211032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244589 (or 244574 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212211032020 its reverse (20230112212), we get a palindrome (232441144232).

The spelling of 212211032020 in words is "two hundred twelve billion, two hundred eleven million, thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 257 260 338 514 676 845 1028 1285 1690 2570 3341 3380 5140 6682 13364 16705 33410 43433 66820 86866 173732 217165 244297 434330 488594 868660 977188 1221485 2442970 3175861 4885940 6351722 12703444 15879305 31758610 41286193 62784329 63517220 82572386 125568658 165144772 206430965 251137316 313921645 412861930 627843290 816196277 825723860 1255686580 1632392554 3264785108 4080981385 8161962770 10610551601 16323925540 21221103202 42442206404 53052758005 106105516010 212211032020