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21202122120212 = 22115373137909091
BaseRepresentation
bin1001101001000100000001…
…11101010001110000010100
32210001220101100022111022002
410310202000331101300110
510234333421230321322
6113032042003054432
74315542231321215
oct464420075216024
983056340274262
1021202122120212
116834851220490
122465143971418
13baa475432a77
1453428c54d40c
1526b7b1007c92
hex134880f51c14

21202122120212 has 96 divisors (see below), whose sum is σ = 42110625078144. Its totient is φ = 9257881651200.

The previous prime is 21202122120149. The next prime is 21202122120217.

21202122120212 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202122120217) 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 31 ways as a sum of consecutive naturals, for example, 22867787 + ... + 23776877.

It is an arithmetic number, because the mean of its divisors is an integer number (438652344564).

Almost surely, 221202122120212 is an apocalyptic number.

21202122120212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21202122120212 is a deficient number, since it is larger than the sum of its proper divisors (20908502957932).

21202122120212 is a wasteful number, since it uses less digits than its factorization.

21202122120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909369 (or 909367 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 2120212 and 2120212, that added together give a palindrome (4240424).

The spelling of 21202122120212 in words is "twenty-one trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 11 22 44 53 73 106 137 146 212 274 292 548 583 803 1166 1507 1606 2332 3014 3212 3869 6028 7261 7738 10001 14522 15476 20002 29044 40004 42559 79871 85118 110011 159742 170236 220022 319484 440044 530053 909091 1060106 1818182 2120212 3636364 5830583 10000001 11661166 20000002 23322332 40000004 48181823 66363643 96363646 124545467 132727286 192727292 249090934 265454572 498181868 530000053 730000073 1060000106 1370000137 1460000146 2120000212 2740000274 2920000292 3517273079 5480000548 6600909751 7034546158 9091819091 13201819502 14069092316 18183638182 26403639004 36367276364 38690003869 72610007261 77380007738 100010010001 145220014522 154760015476 200020020002 290440029044 400040040004 481866411823 963732823646 1927465647292 5300530530053 10601061060106 21202122120212