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10331222320 = 2451710137499
BaseRepresentation
bin10011001111100100…
…11111000100110000
3222200000000110201201
421213302133010300
5132124243103240
64425053540544
7514005640456
oct114762370460
928600013651
1010331222320
114421784271
122003aa4754
13c884ca703
147001429d6
15406ed7d9a
hex267c9f130

10331222320 has 80 divisors (see below), whose sum is σ = 25461540000. Its totient is φ = 3885043712.

The previous prime is 10331222299. The next prime is 10331222323. The reversal of 10331222320 is 2322213301.

10331222320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10331222323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1373931 + ... + 1381429.

It is an arithmetic number, because the mean of its divisors is an integer number (318269250).

Almost surely, 210331222320 is an apocalyptic number.

10331222320 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 10331222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12730770000).

10331222320 is an abundant number, since it is smaller than the sum of its proper divisors (15130317680).

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

10331222320 is a wasteful number, since it uses less digits than its factorization.

10331222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8542 (or 8536 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10331222320 its reverse (2322213301), we get a palindrome (12653435621).

The spelling of 10331222320 in words is "ten billion, three hundred thirty-one million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1013 1360 2026 4052 5065 7499 8104 10130 14998 16208 17221 20260 29996 34442 37495 40520 59992 68884 74990 81040 86105 119984 127483 137768 149980 172210 254966 275536 299960 344420 509932 599920 637415 688840 1019864 1274830 1377680 2039728 2549660 5099320 7596487 10198640 15192974 30385948 37982435 60771896 75964870 121543792 129140279 151929740 258280558 303859480 516561116 607718960 645701395 1033122232 1291402790 2066244464 2582805580 5165611160 10331222320