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212020033032 = 233673349597
BaseRepresentation
bin1100010101110101100…
…0001111011000001000
3202021021001002122000000
43011131120033120020
511433204112024112
6241222313043000
721214024355043
oct3053530173010
9667231078000
10212020033032
1181a0a8659a5
12351110b6460
1316cbb679162
14a394635c5a
1557ad8507dc
hex315d60f608

212020033032 has 112 divisors (see below), whose sum is σ = 596858860140. Its totient is φ = 70575504768.

The previous prime is 212020032967. The next prime is 212020033063. The reversal of 212020033032 is 230330020212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 211723297956 + 296735076 = 460134^2 + 17226^2 .

It is a super-2 number, since 2×2120200330322 (a number of 23 digits) contains 22 as substring.

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 = 212020032996 and 212020033014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4250058 + ... + 4299654.

Almost surely, 2212020033032 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 212020033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298429430070).

212020033032 is an abundant number, since it is smaller than the sum of its proper divisors (384838827108).

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

212020033032 is an equidigital number, since it uses as much as digits as its factorization.

212020033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50354 (or 50335 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 212020033032 its reverse (230330020212), we get a palindrome (442350053244).

The spelling of 212020033032 in words is "two hundred twelve billion, twenty million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 733 972 1458 1466 1944 2199 2916 2932 4398 5832 5864 6597 8796 13194 17592 19791 26388 39582 49597 52776 59373 79164 99194 118746 148791 158328 178119 198388 237492 297582 356238 396776 446373 474984 534357 595164 712476 892746 1068714 1190328 1339119 1424952 1785492 2137428 2678238 3570984 4017357 4274856 5356476 8034714 10712952 12052071 16069428 24104142 32138856 36156213 36354601 48208284 72312426 72709202 96416568 109063803 144624852 145418404 218127606 289249704 290836808 327191409 436255212 654382818 872510424 981574227 1308765636 1963148454 2617531272 2944722681 3926296908 5889445362 7852593816 8834168043 11778890724 17668336086 23557781448 26502504129 35336672172 53005008258 70673344344 106010016516 212020033032