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132401100340 = 225172383203989
BaseRepresentation
bin111101101001110111…
…0000111011000110100
3110122202021000210002001
41323103232013120310
54132124140202330
6140454011025044
712365010532615
oct1732356073064
9418667023061
10132401100340
1151172a73383
12217b0a3b184
13c640487272
1465a0333c0c
15369da559ca
hex1ed3b87634

132401100340 has 96 divisors (see below), whose sum is σ = 310900343040. Its totient is φ = 47103277056.

The previous prime is 132401100311. The next prime is 132401100341. The reversal of 132401100340 is 43001104231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132401100341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547066 + ... + 751054.

It is an arithmetic number, because the mean of its divisors is an integer number (3238545240).

Almost surely, 2132401100340 is an apocalyptic number.

132401100340 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 132401100340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155450171520).

132401100340 is an abundant number, since it is smaller than the sum of its proper divisors (178499242700).

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

132401100340 is a wasteful number, since it uses less digits than its factorization.

132401100340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204121 (or 204119 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 132401100340 its reverse (43001104231), we get a palindrome (175402204571).

The spelling of 132401100340 in words is "one hundred thirty-two billion, four hundred one million, one hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 83 85 92 115 166 170 230 332 340 391 415 460 782 830 1411 1564 1660 1909 1955 2822 3818 3910 5644 7055 7636 7820 9545 14110 19090 28220 32453 38180 64906 129812 162265 203989 324530 407978 649060 815956 1019945 2039890 3467813 4079780 4691747 6935626 9383494 13871252 16931087 17339065 18766988 23458735 33862174 34678130 46917470 67724348 69356260 79759699 84655435 93834940 159519398 169310870 287828479 319038796 338621740 389415001 398798495 575656958 778830002 797596990 1151313916 1439142395 1557660004 1595193980 1947075005 2878284790 3894150010 5756569580 6620055017 7788300020 13240110034 26480220068 33100275085 66200550170 132401100340