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21221202112 = 26111011631831
BaseRepresentation
bin10011110000111000…
…011101100011000000
32000202221102202121121
4103300320131203000
5321430111431422
613425432002024
71350611145625
oct236070354300
960687382547
1021221202112
118aaa8a7270
124142b30314
1320026b3736
14105457434c
158430938c7
hex4f0e1d8c0

21221202112 has 112 divisors (see below), whose sum is σ = 46704040704. Its totient is φ = 9486720000.

The previous prime is 21221202109. The next prime is 21221202131. The reversal of 21221202112 is 21120212212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11589037 + ... + 11590867.

Almost surely, 221221202112 is an apocalyptic number.

21221202112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23352020352).

21221202112 is an abundant number, since it is smaller than the sum of its proper divisors (25482838592).

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

21221202112 is a wasteful number, since it uses less digits than its factorization.

21221202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21221202112 its reverse (21120212212), we get a palindrome (42341414324).

The spelling of 21221202112 in words is "twenty-one billion, two hundred twenty-one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 163 176 202 326 352 404 652 704 808 1111 1304 1616 1793 1831 2222 2608 3232 3586 3662 4444 5216 6464 7172 7324 8888 10432 14344 14648 16463 17776 20141 28688 29296 32926 35552 40282 57376 58592 65852 71104 80564 114752 117184 131704 161128 181093 184931 263408 298453 322256 362186 369862 526816 596906 644512 724372 739724 1053632 1193812 1289024 1448744 1479448 2034241 2387624 2897488 2958896 3282983 4068482 4775248 5794976 5917792 6565966 8136964 9550496 11589952 11835584 13131932 16273928 19100992 26263864 30143753 32547856 52527728 60287506 65095712 105055456 120575012 130191424 210110912 241150024 331581283 482300048 663162566 964600096 1326325132 1929200192 2652650264 5305300528 10610601056 21221202112