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211212012032 = 297431136733
BaseRepresentation
bin1100010010110100110…
…1111000101000000000
3202012011201122220120022
43010231031320220000
511430030233341112
6241010210233012
721155013323510
oct3045515705000
9665151586508
10211212012032
118163574684a
1234b26585768
1316bc0148418
14a3191bd840
155762941d72
hex312d378a00

211212012032 has 80 divisors (see below), whose sum is σ = 483421416192. Its totient is φ = 90308751360.

The previous prime is 211212011987. The next prime is 211212012073. The reversal of 211212012032 is 230210212112.

It is a super-2 number, since 2×2112120120322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211212012032.

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, 1476338 + ... + 1613070.

Almost surely, 2211212012032 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 211212012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241710708096).

211212012032 is an abundant number, since it is smaller than the sum of its proper divisors (272209404160).

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

211212012032 is an equidigital number, since it uses as much as digits as its factorization.

211212012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137189 (or 137173 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 211212012032 its reverse (230210212112), we get a palindrome (441422224144).

The spelling of 211212012032 in words is "two hundred eleven billion, two hundred twelve million, twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 431 448 512 862 896 1724 1792 3017 3448 3584 6034 6896 12068 13792 24136 27584 48272 55168 96544 110336 136733 193088 220672 273466 386176 546932 772352 957131 1093864 1544704 1914262 2187728 3828524 4375456 7657048 8750912 15314096 17501824 30628192 35003648 58931923 61256384 70007296 117863846 122512768 235727692 245025536 412523461 471455384 490051072 825046922 942910768 1650093844 1885821536 3300187688 3771643072 6600375376 7543286144 13200750752 15086572288 26401501504 30173144576 52803003008 105606006016 211212012032