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243137309900 = 225217607235621
BaseRepresentation
bin1110001001110000011…
…1001110110011001100
3212020120122202002002212
43202130013032303030
512440421122404100
6303410140205552
723365112014622
oct3423407166314
9766518662085
10243137309900
1194128744641
123b1562398b8
1319c0a360a14
14baa71d9512
1564d05c4635
hex389c1ceccc

243137309900 has 72 divisors (see below), whose sum is σ = 559566435456. Its totient is φ = 91382860800.

The previous prime is 243137309851. The next prime is 243137309923. The reversal of 243137309900 is 9903731342.

243137309900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 914090 + ... + 1149710.

It is an arithmetic number, because the mean of its divisors is an integer number (7771756048).

Almost surely, 2243137309900 is an apocalyptic number.

243137309900 is a gapful number since it is divisible by the number (20) 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 243137309900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279783217728).

243137309900 is an abundant number, since it is smaller than the sum of its proper divisors (316429125556).

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

243137309900 is a wasteful number, since it uses less digits than its factorization.

243137309900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236259 (or 236252 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 41.

The spelling of 243137309900 in words is "two hundred forty-three billion, one hundred thirty-seven million, three hundred nine thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 607 850 1214 1700 2428 3035 6070 10319 12140 15175 20638 30350 41276 51595 60700 103190 206380 235621 257975 471242 515950 942484 1031900 1178105 2356210 4005557 4712420 5890525 8011114 11781050 16022228 20027785 23562100 40055570 80111140 100138925 143021947 200277850 286043894 400555700 572087788 715109735 1430219470 2431373099 2860438940 3575548675 4862746198 7151097350 9725492396 12156865495 14302194700 24313730990 48627461980 60784327475 121568654950 243137309900