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100002012212 = 2233774185469
BaseRepresentation
bin101110100100010010…
…1011001110000110100
3100120010022102120111002
41131020211121300310
53114301003342322
6113535034102432
710140100036004
oct1351045316064
9316108376432
10100002012212
113945758a993
121746a57aa18
1395790655bb
144ba9426004
1529044d5c92
hex1748959c34

100002012212 has 12 divisors (see below), whose sum is σ = 175522822020. Its totient is φ = 49852634496.

The previous prime is 100002012211. The next prime is 100002012217. The reversal of 100002012212 is 212210200001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 69023900176 + 30978112036 = 262724^2 + 176006^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100002012193 and 100002012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002012211) 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 3 ways as a sum of consecutive naturals, for example, 37091387 + ... + 37094082.

It is an arithmetic number, because the mean of its divisors is an integer number (14626901835).

Almost surely, 2100002012212 is an apocalyptic number.

It is an amenable number.

100002012212 is a deficient number, since it is larger than the sum of its proper divisors (75520809808).

100002012212 is a wasteful number, since it uses less digits than its factorization.

100002012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74185810 (or 74185808 counting only the distinct ones).

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

Adding to 100002012212 its reverse (212210200001), we get a palindrome (312212212213).

The spelling of 100002012212 in words is "one hundred billion, two million, twelve thousand, two hundred twelve".

Divisors: 1 2 4 337 674 1348 74185469 148370938 296741876 25000503053 50001006106 100002012212