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10222102021120 = 210511181500391
BaseRepresentation
bin1001010011000000010011…
…0000101000010000000000
31100012020000212100221110121
42110300010300220100000
52314434331104133440
633423545134110024
72103344134360543
oct224600460502000
940166025327417
1010222102021120
113291195112880
12119114134b314
13591c2b49a0b2
14274a7674a85a
1512ad7894934a
hex94c04c28400

10222102021120 has 88 divisors (see below), whose sum is σ = 26750253774528. Its totient is φ = 3717127987200.

The previous prime is 10222102021073. The next prime is 10222102021123. The reversal of 10222102021120 is 2112020122201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

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

It is a junction number, because it is equal to n+sod(n) for n = 10222102021094 and 10222102021103.

It is not an unprimeable number, because it can be changed into a prime (10222102021123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90693876 + ... + 90806515.

Almost surely, 210222102021120 is an apocalyptic number.

10222102021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222102021120 is an abundant number, since it is smaller than the sum of its proper divisors (16528151753408).

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

10222102021120 is a wasteful number, since it uses less digits than its factorization.

10222102021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181500427 (or 181500409 counting only the distinct ones).

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

Adding to 10222102021120 its reverse (2112020122201), we get a palindrome (12334122143321).

The spelling of 10222102021120 in words is "ten trillion, two hundred twenty-two billion, one hundred two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2816 3520 5120 5632 7040 11264 14080 28160 56320 181500391 363000782 726001564 907501955 1452003128 1815003910 1996504301 2904006256 3630007820 3993008602 5808012512 7260015640 7986017204 9982521505 11616025024 14520031280 15972034408 19965043010 23232050048 29040062560 31944068816 39930086020 46464100096 58080125120 63888137632 79860172040 92928200192 116160250240 127776275264 159720344080 185856400384 232320500480 255552550528 319440688160 464641000960 511105101056 638881376320 929282001920 1022210202112 1277762752640 2044420404224 2555525505280 5111051010560 10222102021120