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101212000001211 = 31129604717489609
BaseRepresentation
bin10111000000110101000001…
…010011101001110010111011
3111021100202212022010212021110
4113000311001103221302323
5101231224134000014321
6555132052333011403
730214216466155461
oct2700650123516273
9437322768125243
10101212000001211
112a28184a455840
12b427692023b63
134462334895b88
141adc988d58831
15ba7b52c2b176
hex5c0d414e9cbb

101212000001211 has 32 divisors (see below), whose sum is σ = 152319112243200. Its totient is φ = 59215615182080.

The previous prime is 101212000001191. The next prime is 101212000001221. The reversal of 101212000001211 is 112100000212101.

It is a cyclic number.

It is not a de Polignac number, because 101212000001211 - 210 = 101212000000187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101212000001221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2957826 + ... + 14531783.

It is an arithmetic number, because the mean of its divisors is an integer number (4759972257600).

Almost surely, 2101212000001211 is an apocalyptic number.

101212000001211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101212000001211 is a deficient number, since it is larger than the sum of its proper divisors (51107112241989).

101212000001211 is a wasteful number, since it uses less digits than its factorization.

101212000001211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17495699.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101212000001211 its reverse (112100000212101), we get a palindrome (213312000213312).

The spelling of 101212000001211 in words is "one hundred one trillion, two hundred twelve billion, one thousand, two hundred eleven".

Divisors: 1 3 11 29 33 87 319 957 6047 18141 66517 175363 199551 526089 1928993 5786979 17489609 52468827 192385699 507198661 577157097 1521595983 5579185271 16737555813 105759665623 317278996869 1163356321853 3067030303067 3490068965559 9201090909201 33737333333737 101212000001211