Search a number
-
+
132130344400 = 24521739314943
BaseRepresentation
bin111101100001110010…
…1010000110111010000
3110122001101112221202021
41323003211100313100
54131100332010100
6140411055501224
712355212252655
oct1730345206720
9418041487667
10132130344400
115104415343a
1221736227814
13c5c9358352
1465763b3c2c
153684dc1a1a
hex1ec3950dd0

132130344400 has 120 divisors (see below), whose sum is σ = 336269798784. Its totient is φ = 49720473600.

The previous prime is 132130344371. The next prime is 132130344413. The reversal of 132130344400 is 4443031231.

It is a super-2 number, since 2×1321303444002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26728329 + ... + 26733271.

Almost surely, 2132130344400 is an apocalyptic number.

132130344400 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 132130344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168134899392).

132130344400 is an abundant number, since it is smaller than the sum of its proper divisors (204139454384).

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

132130344400 is a wasteful number, since it uses less digits than its factorization.

132130344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8909 (or 8898 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 132130344400 its reverse (4443031231), we get a palindrome (136573375631).

The spelling of 132130344400 in words is "one hundred thirty-two billion, one hundred thirty million, three hundred forty-four 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 3931 4943 6800 7862 9886 15724 19655 19772 24715 31448 39310 39544 49430 62896 66827 78620 79088 84031 98275 98860 123575 133654 157240 168062 196550 197720 247150 267308 314480 334135 336124 393100 395440 420155 494300 534616 668270 672248 786200 840310 988600 1069232 1336540 1344496 1572400 1670675 1680620 1977200 2100775 2673080 3341350 3361240 4201550 5346160 6682700 6722480 8403100 13365400 16806200 19430933 26730800 33612400 38861866 77723732 97154665 155447464 194309330 310894928 330325861 388618660 485773325 660651722 777237320 971546650 1321303444 1554474640 1651629305 1943093300 2642606888 3303258610 3886186600 5285213776 6606517220 7772373200 8258146525 13213034440 16516293050 26426068880 33032586100 66065172200 132130344400