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132300267700 = 225210725149261
BaseRepresentation
bin111101100110110110…
…1011110000010110100
3110122111020021221200211
41323031231132002310
54131422332031300
6140440005515204
712362344502116
oct1731555360264
9418436257624
10132300267700
1151121063317
1221783112b04
13c625611793
146590ba73b6
153694c894ba
hex1ecdb5e0b4

132300267700 has 72 divisors (see below), whose sum is σ = 290935066464. Its totient is φ = 52215600000.

The previous prime is 132300267691. The next prime is 132300267733. The reversal of 132300267700 is 7762003231.

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, 2661070 + ... + 2710330.

It is an arithmetic number, because the mean of its divisors is an integer number (4040764812).

Almost surely, 2132300267700 is an apocalyptic number.

132300267700 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 132300267700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145467533232).

132300267700 is an abundant number, since it is smaller than the sum of its proper divisors (158634798764).

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

132300267700 is a wasteful number, since it uses less digits than its factorization.

132300267700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49633 (or 49626 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The spelling of 132300267700 in words is "one hundred thirty-two billion, three hundred million, two hundred sixty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 251 428 502 535 1004 1070 1255 2140 2510 2675 5020 5350 6275 10700 12550 25100 26857 49261 53714 98522 107428 134285 197044 246305 268570 492610 537140 671425 985220 1231525 1342850 2463050 2685700 4926100 5270927 10541854 12364511 21083708 24729022 26354635 49458044 52709270 61822555 105418540 123645110 131773175 247290220 263546350 309112775 527092700 618225550 1236451100 1323002677 2646005354 5292010708 6615013385 13230026770 26460053540 33075066925 66150133850 132300267700