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100022010212 = 2242193763389
BaseRepresentation
bin101110100100111000…
…1101100000101100100
3100120011201001120120202
41131021301230011210
53114321113311322
6113541030450032
710140432026135
oct1351161540544
9316151046522
10100022010212
11394678a9763
1217475203918
139580247b37
144babd4dc8c
152906136292
hex1749c6c164

100022010212 has 24 divisors (see below), whose sum is σ = 175644308280. Its totient is φ = 49838181120.

The previous prime is 100022010211. The next prime is 100022010217. The reversal of 100022010212 is 212010220001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 674752576 + 99347257636 = 25976^2 + 315194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100022010193 and 100022010202.

It is not an unprimeable number, because it can be changed into a prime (100022010211) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1546214 + ... + 1609602.

It is an arithmetic number, because the mean of its divisors is an integer number (7318512845).

Almost surely, 2100022010212 is an apocalyptic number.

It is an amenable number.

100022010212 is a deficient number, since it is larger than the sum of its proper divisors (75622298068).

100022010212 is a wasteful number, since it uses less digits than its factorization.

100022010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64751 (or 64749 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100022010212 its reverse (212010220001), we get a palindrome (312032230213).

The spelling of 100022010212 in words is "one hundred billion, twenty-two million, ten thousand, two hundred twelve".

Divisors: 1 2 4 421 842 937 1684 1874 3748 63389 126778 253556 394477 788954 1577908 26686769 53373538 59395493 106747076 118790986 237581972 25005502553 50011005106 100022010212