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10212001222212 = 22322574572415233
BaseRepresentation
bin1001010010011010101010…
…1101001000111001000100
31100011020221220221012020100
42110212222231020321010
52314303134303102322
633415154551004100
72102535624115326
oct224465255107104
940136856835210
1010212001222212
113287981511089
12118b1a2669630
13590cab9495ca
14274399069616
1512a986cc9dac
hex949aab48e44

10212001222212 has 72 divisors (see below), whose sum is σ = 25970827644216. Its totient is φ = 3383334273024.

The previous prime is 10212001222211. The next prime is 10212001222229. The reversal of 10212001222212 is 21222210021201.

It is a happy number.

10212001222212 is a `hidden beast` number, since 10 + 21 + 200 + 1 + 222 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4790293878276 + 5421707343936 = 2188674^2 + 2328456^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10212001222211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3020548 + ... + 5435780.

It is an arithmetic number, because the mean of its divisors is an integer number (360705939503).

Almost surely, 210212001222212 is an apocalyptic number.

10212001222212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10212001222212 is an abundant number, since it is smaller than the sum of its proper divisors (15758826422004).

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

10212001222212 is a wasteful number, since it uses less digits than its factorization.

10212001222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415957 (or 2415952 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10212001222212 its reverse (21222210021201), we get a palindrome (31434211243413).

The spelling of 10212001222212 in words is "ten trillion, two hundred twelve billion, one million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 257 457 514 771 914 1028 1371 1542 1828 2313 2742 3084 4113 4626 5484 8226 9252 16452 117449 234898 352347 469796 704694 1057041 1409388 2114082 2415233 4228164 4830466 7245699 9660932 14491398 21737097 28982796 43474194 86948388 620714881 1103761481 1241429762 1862144643 2207522962 2482859524 3311284443 3724289286 4415045924 5586433929 6622568886 7448578572 9933853329 11172867858 13245137772 19867706658 22345735716 39735413316 283666700617 567333401234 851000101851 1134666802468 1702000203702 2553000305553 3404000407404 5106000611106 10212001222212