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1120202302032 = 2432112200332141
BaseRepresentation
bin10000010011010001010…
…000101010001001010000
310222002102211021001012100
4100103101100222021100
5121323133242131112
62214340331000400
7143634441314202
oct20232120521120
93862384231170
101120202302032
113a2090aa5580
12161129599100
1381833364c48
143c30a5b0772
151e21437d2dc
hex104d142a250

1120202302032 has 120 divisors (see below), whose sum is σ = 3420273418848. Its totient is φ = 339429254400.

The previous prime is 1120202302007. The next prime is 1120202302057. The reversal of 1120202302032 is 2302032020211.

It is an interprime number because it is at equal distance from previous prime (1120202302007) and next prime (1120202302057).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1120202301996 and 1120202302014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34836682 + ... + 34868822.

Almost surely, 21120202302032 is an apocalyptic number.

1120202302032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1120202302032 is an abundant number, since it is smaller than the sum of its proper divisors (2300071116816).

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

1120202302032 is a wasteful number, since it uses less digits than its factorization.

1120202302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54169 (or 54160 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1120202302032 its reverse (2302032020211), we get a palindrome (3422234322243).

The spelling of 1120202302032 in words is "one trillion, one hundred twenty billion, two hundred two million, three hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 22003 32141 44006 64282 66009 88012 96423 128564 132018 176024 192846 198027 242033 257128 264036 289269 352048 353551 385692 396054 484066 514256 528072 578538 707102 726099 771384 792108 968132 1056144 1060653 1157076 1414204 1452198 1542768 1584216 1936264 2121306 2178297 2314152 2828408 2904396 3168432 3181959 3872528 4242612 4356594 4628304 5656816 5808792 6363918 8485224 8713188 11617584 12727836 16970448 17426376 25455672 34852752 50911344 707198423 1414396846 2121595269 2828793692 4243190538 5657587384 6364785807 7779182653 8486381076 11315174768 12729571614 15558365306 16972762152 23337547959 25459143228 31116730612 33945524304 46675095918 50918286456 62233461224 70012643877 93350191836 101836572912 124466922448 140025287754 186700383672 280050575508 373400767344 560101151016 1120202302032