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2332012110032 = 2411671039190339
BaseRepresentation
bin100001111011110110110…
…000001110000011010000
322020221022221012120011002
4201323312300032003100
5301201430100010112
64543151144441132
7330324301606313
oct41736660160320
98227287176132
102332012110032
1181a00104a170
12317b621791a8
1313bba5582507
1480c2736897a
15409dac6b1c2
hex21ef6c0e0d0

2332012110032 has 80 divisors (see below), whose sum is σ = 5007434265600. Its totient is φ = 1043174056320.

The previous prime is 2332012110011. The next prime is 2332012110037. The reversal of 2332012110032 is 2300112102332.

It is a junction number, because it is equal to n+sod(n) for n = 2332012109986 and 2332012110013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2332012110037) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12156719 + ... + 12347057.

It is an arithmetic number, because the mean of its divisors is an integer number (62592928320).

Almost surely, 22332012110032 is an apocalyptic number.

2332012110032 is a gapful number since it is divisible by the number (22) 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 2332012110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503717132800).

2332012110032 is an abundant number, since it is smaller than the sum of its proper divisors (2675422155568).

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

2332012110032 is a wasteful number, since it uses less digits than its factorization.

2332012110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191464 (or 191458 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2332012110032 its reverse (2300112102332), we get a palindrome (4632124212364).

The spelling of 2332012110032 in words is "two trillion, three hundred thirty-two billion, twelve million, one hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 176 268 536 737 1039 1072 1474 2078 2948 4156 5896 8312 11429 11792 16624 22858 45716 69613 91432 139226 182864 190339 278452 380678 556904 761356 765743 1113808 1522712 1531486 2093729 3045424 3062972 4187458 6125944 8374916 12251888 12752713 16749832 25505426 33499664 51010852 102021704 140279843 197762221 204043408 280559686 395524442 561119372 791048884 1122238744 1582097768 2175384431 2244477488 3164195536 4350768862 8701537724 13250068807 17403075448 26500137614 34806150896 53000275228 106000550456 145750756877 212001100912 291501513754 583003027508 1166006055016 2332012110032