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21101221211220 = 22325120439734203
BaseRepresentation
bin1001100110001000000101…
…10010110110110001010100
32202201020221101110020020200
410303010002302312301110
510231210300112224340
6112513433414300500
74305340634616663
oct463040262666124
982636841406220
1021101221211220
1167a5a832a20a7
122449684357730
13ba0ab509bca7
1452d4399b6dda
15268d57b62330
hex133102cb6c54

21101221211220 has 72 divisors (see below), whose sum is σ = 64012359124896. Its totient is φ = 5626524503232.

The previous prime is 21101221211209. The next prime is 21101221211227. The reversal of 21101221211220 is 2211212210112.

21101221211220 is a `hidden beast` number, since 2 + 1 + 10 + 1 + 221 + 211 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21101221211193 and 21101221211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101221211227) 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, 2699362 + ... + 7034841.

Almost surely, 221101221211220 is an apocalyptic number.

21101221211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101221211220 is an abundant number, since it is smaller than the sum of its proper divisors (42911137913676).

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

21101221211220 is a wasteful number, since it uses less digits than its factorization.

21101221211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9746261 (or 9746256 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21101221211220 its reverse (2211212210112), we get a palindrome (23312433421332).

The spelling of 21101221211220 in words is "twenty-one trillion, one hundred one billion, two hundred twenty-one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12043 24086 36129 48172 60215 72258 108387 120430 144516 180645 216774 240860 361290 433548 541935 722580 1083870 2167740 9734203 19468406 29202609 38936812 48671015 58405218 87607827 97342030 116810436 146013045 175215654 194684060 292026090 350431308 438039135 584052180 876078270 1752156540 117229006729 234458013458 351687020187 468916026916 586145033645 703374040374 1055061060561 1172290067290 1406748080748 1758435100935 2110122121122 2344580134580 3516870201870 4220244242244 5275305302805 7033740403740 10550610605610 21101221211220