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132230032400 = 24521719445593
BaseRepresentation
bin111101100100110000…
…1100010110000010000
3110122022100010121222102
41323021201202300100
54131301342014100
6140425020255532
712360532505354
oct1731141426020
9418270117872
10132230032400
1151095451514
12217636a15a8
13c613bbcb2b
146585723464
15368da13cd5
hex1ec9862c10

132230032400 has 60 divisors (see below), whose sum is σ = 336369885012. Its totient is φ = 49780715520.

The previous prime is 132230032393. The next prime is 132230032421. The reversal of 132230032400 is 4230032231.

It can be written as a sum of positive squares in 6 ways, for example, as 17346997264 + 114883035136 = 131708^2 + 338944^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9715997 + ... + 9729596.

Almost surely, 2132230032400 is an apocalyptic number.

132230032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132230032400 is an abundant number, since it is smaller than the sum of its proper divisors (204139852612).

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

132230032400 is a wasteful number, since it uses less digits than its factorization.

132230032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19445628 (or 19445617 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 132230032400 its reverse (4230032231), we get a palindrome (136460064631).

The spelling of 132230032400 in words is "one hundred thirty-two billion, two hundred thirty million, thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 19445593 38891186 77782372 97227965 155564744 194455930 311129488 330575081 388911860 486139825 661150162 777823720 972279650 1322300324 1555647440 1652875405 1944559300 2644600648 3305750810 3889118600 5289201296 6611501620 7778237200 8264377025 13223003240 16528754050 26446006480 33057508100 66115016200 132230032400