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2221310010320 = 245151383480113
BaseRepresentation
bin100000010100110000011…
…001001110001111010000
321212100120220200020000222
4200110300121032033100
5242343220330312240
64420242234332212
7316325063361032
oct40246031161720
97770526606028
102221310010320
11787063656165
122ba60828a068
1313161278c5bb
1479724c21c52
153cbac1d8eb5
hex2053064e3d0

2221310010320 has 80 divisors (see below), whose sum is σ = 5212332675072. Its totient is φ = 880333363200.

The previous prime is 2221310010301. The next prime is 2221310010377. The reversal of 2221310010320 is 230100131222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 4386584 + ... + 4866696.

Almost surely, 22221310010320 is an apocalyptic number.

2221310010320 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 2221310010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606166337536).

2221310010320 is an abundant number, since it is smaller than the sum of its proper divisors (2991022664752).

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

2221310010320 is a wasteful number, since it uses less digits than its factorization.

2221310010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480660 (or 480654 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2221310010320 its reverse (230100131222), we get a palindrome (2451410141542).

The spelling of 2221310010320 in words is "two trillion, two hundred twenty-one billion, three hundred ten million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 383 604 755 766 1208 1510 1532 1915 2416 3020 3064 3830 6040 6128 7660 12080 15320 30640 57833 115666 231332 289165 462664 480113 578330 925328 960226 1156660 1920452 2313320 2400565 3840904 4626640 4801130 7681808 9602260 19204520 38409040 72497063 144994126 183883279 289988252 362485315 367766558 579976504 724970630 735533116 919416395 1159953008 1449941260 1471066232 1838832790 2899882520 2942132464 3677665580 5799765040 7355331160 14710662320 27766375129 55532750258 111065500516 138831875645 222131001032 277663751290 444262002064 555327502580 1110655005160 2221310010320