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132103432324400 = 24521943633983963
BaseRepresentation
bin11110000010010110111010…
…001010000100010100110000
3122022201222001100000121220112
4132002112322022010110300
5114303340312133340100
61144543251244400452
736553105126361645
oct3602267212042460
9568658040017815
10132103432324400
1139101829688249
1212996644246128
1358933b975ba74
142489ba9891dcc
1510414a7ca0b35
hex7825ba284530

132103432324400 has 120 divisors (see below), whose sum is σ = 334159283181120. Its totient is φ = 50048761662720.

The previous prime is 132103432324399. The next prime is 132103432324417. The reversal of 132103432324400 is 4423234301231.

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 23 ways as a sum of consecutive naturals, for example, 31166819 + ... + 35150781.

It is an arithmetic number, because the mean of its divisors is an integer number (2784660693176).

Almost surely, 2132103432324400 is an apocalyptic number.

132103432324400 is a gapful number since it is divisible by the number (10) 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 132103432324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167079641590560).

132103432324400 is an abundant number, since it is smaller than the sum of its proper divisors (202055850856720).

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

132103432324400 is a wasteful number, since it uses less digits than its factorization.

132103432324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988363 (or 3988352 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 132103432324400 its reverse (4423234301231), we get a palindrome (136526666625631).

The spelling of 132103432324400 in words is "one hundred thirty-two trillion, one hundred three billion, four hundred thirty-two million, three hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 4363 7600 8726 17452 21815 34904 43630 69808 82897 87260 109075 165794 174520 218150 331588 349040 414485 436300 663176 828970 872600 1326352 1657940 1745200 2072425 3315880 3983963 4144850 6631760 7967926 8289700 15935852 16579400 19919815 31871704 33158800 39839630 63743408 75695297 79679260 99599075 151390594 159358520 199198150 302781188 318717040 378476485 398396300 605562376 756952970 796792600 1211124752 1513905940 1593585200 1892382425 3027811880 3784764850 6055623760 7569529700 15139059400 17382030569 30278118800 34764061138 69528122276 86910152845 139056244552 173820305690 278112489104 330258580811 347640611380 434550764225 660517161622 695281222760 869101528450 1321034323244 1390562445520 1651292904055 1738203056900 2642068646488 3302585808110 3476406113800 5284137292976 6605171616220 6952812227600 8256464520275 13210343232440 16512929040550 26420686464880 33025858081100 66051716162200 132103432324400