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202103221120 = 2752271391129
BaseRepresentation
bin1011110000111001001…
…0100110101110000000
3201022122220212101110221
42330032102212232000
511302401411033440
6232502301232424
720413210015003
oct2741622465600
9638586771427
10202103221120
1178790aaa379
1233203b62714
131609ac97208
149ad356953a
1553cce25d4a
hex2f0e4a6b80

202103221120 has 64 divisors (see below), whose sum is σ = 485281789200. Its totient is φ = 80485101568.

The previous prime is 202103221109. The next prime is 202103221127. The reversal of 202103221120 is 21122301202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2021032211202 (a number of 23 digits) contains 22 as substring.

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 = 202103221094 and 202103221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202103221127) 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 7 ways as a sum of consecutive naturals, for example, 550285 + ... + 840844.

Almost surely, 2202103221120 is an apocalyptic number.

202103221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202103221120 is an abundant number, since it is smaller than the sum of its proper divisors (283178568080).

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

202103221120 is a wasteful number, since it uses less digits than its factorization.

202103221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391375 (or 1391363 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 202103221120 its reverse (21122301202), we get a palindrome (223225522322).

The spelling of 202103221120 in words is "two hundred two billion, one hundred three million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 227 320 454 640 908 1135 1816 2270 3632 4540 7264 9080 14528 18160 29056 36320 72640 145280 1391129 2782258 5564516 6955645 11129032 13911290 22258064 27822580 44516128 55645160 89032256 111290320 178064512 222580640 315786283 445161280 631572566 890322560 1263145132 1578931415 2526290264 3157862830 5052580528 6315725660 10105161056 12631451320 20210322112 25262902640 40420644224 50525805280 101051610560 202103221120