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120021222100 = 22521392324017
BaseRepresentation
bin110111111000111010…
…0101000001011010100
3102110210111002210202011
41233301310220023110
53431300413101400
6131045331154004
711446144361263
oct1576164501324
9373714083664
10120021222100
114699a93a64a
121b316a45904
13b419707b20
145b480ac5da
1531c6c988ba
hex1bf1d282d4

120021222100 has 36 divisors (see below), whose sum is σ = 280480366684. Its totient is φ = 44315527680.

The previous prime is 120021222091. The next prime is 120021222149. The reversal of 120021222100 is 1222120021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4213048464 + 115808173636 = 64908^2 + 340306^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46160709 + ... + 46163308.

Almost surely, 2120021222100 is an apocalyptic number.

120021222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021222100 is an abundant number, since it is smaller than the sum of its proper divisors (160459144584).

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

120021222100 is a wasteful number, since it uses less digits than its factorization.

120021222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92324044 (or 92324037 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120021222100 its reverse (1222120021), we get a palindrome (121243342121).

The spelling of 120021222100 in words is "one hundred twenty billion, twenty-one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 92324017 184648034 369296068 461620085 923240170 1200212221 1846480340 2308100425 2400424442 4616200850 4800848884 6001061105 9232401700 12002122210 24004244420 30005305525 60010611050 120021222100