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1202330112 = 2931794373
BaseRepresentation
bin100011110101010…
…0001101000000000
310002210101200211220
41013222201220000
54430244030422
6315150035040
741536431414
oct10752415000
93083350756
101202330112
11567758455
122967a8a80
1316212bc49
14b5978d44
157084ae5c
hex47aa1a00

1202330112 has 80 divisors (see below), whose sum is σ = 3221713440. Its totient is φ = 398446592.

The previous prime is 1202330093. The next prime is 1202330141. The reversal of 1202330112 is 2110332021.

It is a junction number, because it is equal to n+sod(n) for n = 1202330091 and 1202330100.

It is an unprimeable number.

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, 272758 + ... + 277130.

It is an arithmetic number, because the mean of its divisors is an integer number (40271418).

Almost surely, 21202330112 is an apocalyptic number.

1202330112 is a gapful number since it is divisible by the number (12) 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 1202330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610856720).

1202330112 is an abundant number, since it is smaller than the sum of its proper divisors (2019383328).

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

1202330112 is an equidigital number, since it uses as much as digits as its factorization.

1202330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1202330112 is about 34674.6321105214. The cubic root of 1202330112 is about 1063.3459337765.

Adding to 1202330112 its reverse (2110332021), we get a palindrome (3312662133).

The spelling of 1202330112 in words is "one billion, two hundred two million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 256 358 384 512 537 716 768 1074 1432 1536 2148 2864 4296 4373 5728 8592 8746 11456 13119 17184 17492 22912 26238 34368 34984 45824 52476 68736 69968 91648 104952 137472 139936 209904 274944 279872 419808 559744 782767 839616 1119488 1565534 1679232 2238976 2348301 3131068 3358464 4696602 6262136 6716928 9393204 12524272 18786408 25048544 37572816 50097088 75145632 100194176 150291264 200388352 300582528 400776704 601165056 1202330112