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132412303200 = 25352523105491
BaseRepresentation
bin111101101010001100…
…0110110011101100000
3110122210001002221111210
41323110120312131200
54132140022200300
6140455051110120
712365205002202
oct1732430663540
9418701087453
10132412303200
1151179325241
12217b4742340
13c6428aa488
1465a1a0c772
15369ea1a050
hex1ed4636760

132412303200 has 144 divisors (see below), whose sum is σ = 431830236096. Its totient is φ = 35242099200.

The previous prime is 132412303193. The next prime is 132412303213. The reversal of 132412303200 is 2303214231.

It is a congruent number.

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, 1202455 + ... + 1307945.

It is an arithmetic number, because the mean of its divisors is an integer number (2998821084).

Almost surely, 2132412303200 is an apocalyptic number.

132412303200 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 132412303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215915118048).

132412303200 is an abundant number, since it is smaller than the sum of its proper divisors (299417932896).

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

132412303200 is a wasteful number, since it uses less digits than its factorization.

132412303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106037 (or 106024 counting only the distinct ones).

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

Adding to 132412303200 its reverse (2303214231), we get a palindrome (134715517431).

The spelling of 132412303200 in words is "one hundred thirty-two billion, four hundred twelve million, three hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 523 600 800 1046 1200 1569 2092 2400 2615 3138 4184 5230 6276 7845 8368 10460 12552 13075 15690 16736 20920 25104 26150 31380 39225 41840 50208 52300 62760 78450 83680 104600 105491 125520 156900 209200 210982 251040 313800 316473 418400 421964 527455 627600 632946 843928 1054910 1255200 1265892 1582365 1687856 2109820 2531784 2637275 3164730 3375712 4219640 5063568 5274550 6329460 7911825 8439280 10127136 10549100 12658920 15823650 16878560 21098200 25317840 31647300 42196400 50635680 55171793 63294600 84392800 110343586 126589200 165515379 220687172 253178400 275858965 331030758 441374344 551717930 662061516 827576895 882748688 1103435860 1324123032 1379294825 1655153790 1765497376 2206871720 2648246064 2758589650 3310307580 4137884475 4413743440 5296492128 5517179300 6620615160 8275768950 8827486880 11034358600 13241230320 16551537900 22068717200 26482460640 33103075800 44137434400 66206151600 132412303200