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21221220222100 = 2252616915034571
BaseRepresentation
bin1001101001100111100110…
…10010110000010010010100
32210010201200022202120221001
410310303303102300102110
510240142024334101400
6113044521033433044
74320116422442443
oct464636322602224
983121608676831
1021221220222100
116841961641068
12246899386b784
13bac1c9ccb082
14535180b42d5a
1526c02c9bea6a
hex134cf34b0494

21221220222100 has 72 divisors (see below), whose sum is σ = 46872711128096. Its totient is φ = 8337247920000.

The previous prime is 21221220222071. The next prime is 21221220222149. The reversal of 21221220222100 is 122202212212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1697815 + ... + 6732385.

Almost surely, 221221220222100 is an apocalyptic number.

21221220222100 is a gapful number since it is divisible by the number (20) 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 21221220222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436355564048).

21221220222100 is an abundant number, since it is smaller than the sum of its proper divisors (25651490905996).

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

21221220222100 is a wasteful number, since it uses less digits than its factorization.

21221220222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5035337 (or 5035330 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 21221220222100 its reverse (122202212212), we get a palindrome (21343422434312).

The spelling of 21221220222100 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred twenty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 691 1220 1382 1525 2764 3050 3455 6100 6910 13820 17275 34550 42151 69100 84302 168604 210755 421510 843020 1053775 2107550 4215100 5034571 10069142 20138284 25172855 50345710 100691420 125864275 251728550 307108831 503457100 614217662 1228435324 1535544155 3071088310 3478888561 6142176620 6957777122 7677720775 13915554244 15355441550 17394442805 30710883100 34788885610 69577771220 86972214025 173944428050 212212202221 347888856100 424424404442 848848808884 1061061011105 2122122022210 4244244044420 5305305055525 10610610111050 21221220222100