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1102232032032 = 25359641303593
BaseRepresentation
bin10000000010100010001…
…001100001001100100000
310220101001110000202001210
4100002202021201030200
5121024332400011112
62202205225430120
7142430223454365
oct20024211411440
93811043022053
101102232032032
113954aa27976a
1215975333b340
137cc2b3437a1
143b4c3ac246c
151da118e8b3c
hex100a2261320

1102232032032 has 96 divisors (see below), whose sum is σ = 2946999101760. Its totient is φ = 360618721280.

The previous prime is 1102232032019. The next prime is 1102232032039. The reversal of 1102232032032 is 2302302322011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1102232032039) 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 15 ways as a sum of consecutive naturals, for example, 3478828 + ... + 3782420.

It is an arithmetic number, because the mean of its divisors is an integer number (30697907310).

Almost surely, 21102232032032 is an apocalyptic number.

1102232032032 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 1102232032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473499550880).

1102232032032 is an abundant number, since it is smaller than the sum of its proper divisors (1844767069728).

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

1102232032032 is a wasteful number, since it uses less digits than its factorization.

1102232032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304306 (or 304298 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1102232032032 its reverse (2302302322011), we get a palindrome (3404534354043).

The spelling of 1102232032032 in words is "one trillion, one hundred two billion, two hundred thirty-two million, thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 641 708 944 1282 1416 1888 1923 2564 2832 3846 5128 5664 7692 10256 15384 20512 30768 37819 61536 75638 113457 151276 226914 302552 303593 453828 605104 607186 907656 910779 1210208 1214372 1815312 1821558 2428744 3630624 3643116 4857488 7286232 9714976 14572464 17911987 29144928 35823974 53735961 71647948 107471922 143295896 194603113 214943844 286591792 389206226 429887688 573183584 583809339 778412452 859775376 1167618678 1556824904 1719550752 2335237356 3113649808 4670474712 6227299616 9340949424 11481583667 18681898848 22963167334 34444751001 45926334668 68889502002 91852669336 137779004004 183705338672 275558008008 367410677344 551116016016 1102232032032