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11321221322220 = 22351016287297151
BaseRepresentation
bin1010010010111110110101…
…1000000001010111101100
31111002022001101020120102120
42210233231120001113230
52440441330124302340
640024521451152540
72245634263315035
oct244575530012754
944068041216376
1011321221322220
113675337324737
12132a166145750
13641781978c54
142b1d42c7da8c
15149756e324d0
hexa4bed6015ec

11321221322220 has 96 divisors (see below), whose sum is σ = 32018475073536. Its totient is φ = 2988615840000.

The previous prime is 11321221322179. The next prime is 11321221322231. The reversal of 11321221322220 is 2222312212311.

11321221322220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37950645 + ... + 38247795.

It is an arithmetic number, because the mean of its divisors is an integer number (333525782016).

Almost surely, 211321221322220 is an apocalyptic number.

11321221322220 is a gapful number since it is divisible by the number (10) 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 11321221322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16009237536768).

11321221322220 is an abundant number, since it is smaller than the sum of its proper divisors (20697253751316).

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

11321221322220 is a wasteful number, since it uses less digits than its factorization.

11321221322220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303551 (or 303549 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11321221322220 its reverse (2222312212311), we get a palindrome (13543533534531).

The spelling of 11321221322220 in words is "eleven trillion, three hundred twenty-one billion, two hundred twenty-one million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 6287 12574 18861 25148 31435 37722 62870 75444 94305 125740 188610 297151 377220 594302 634987 891453 1188604 1269974 1485755 1782906 1904961 2539948 2971510 3174935 3565812 3809922 4457265 5943020 6349870 7619844 8914530 9524805 12699740 17829060 19049610 30012251 38099220 60024502 90036753 120049004 150061255 180073506 300122510 360147012 450183765 600245020 900367530 1800735060 1868188337 3736376674 5604565011 7472753348 9340941685 11209130022 18681883370 22418260044 28022825055 37363766740 56045650110 112091300220 188687022037 377374044074 566061066111 754748088148 943435110185 1132122132222 1886870220370 2264244264444 2830305330555 3773740440740 5660610661110 11321221322220