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243434202100 = 22526743383911
BaseRepresentation
bin1110001010110111001…
…1110010001111110100
3212021100100101202122021
43202231303302033310
512442023123431400
6303455423442524
723405345401555
oct3425563621764
9767310352567
10243434202100
11942702960a1
123b219756444
1319c56a1108b
14bad480032c
1564eb6bc71a
hex38adcf23f4

243434202100 has 72 divisors (see below), whose sum is σ = 537381174848. Its totient is φ = 95697676800.

The previous prime is 243434202097. The next prime is 243434202101. The reversal of 243434202100 is 1202434342.

It is a happy number.

243434202100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243434202101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2859145 + ... + 2943055.

Almost surely, 2243434202100 is an apocalyptic number.

243434202100 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 243434202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268690587424).

243434202100 is an abundant number, since it is smaller than the sum of its proper divisors (293946972748).

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

243434202100 is a wasteful number, since it uses less digits than its factorization.

243434202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84425 (or 84418 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 243434202100 its reverse (1202434342), we get a palindrome (244636636442).

The spelling of 243434202100 in words is "two hundred forty-three billion, four hundred thirty-four million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 433 670 866 1340 1675 1732 2165 3350 4330 6700 8660 10825 21650 29011 43300 58022 83911 116044 145055 167822 290110 335644 419555 580220 725275 839110 1450550 1678220 2097775 2901100 4195550 5622037 8391100 11244074 22488148 28110185 36333463 56220370 72666926 112440740 140550925 145333852 181667315 281101850 363334630 562203700 726669260 908336575 1816673150 2434342021 3633346300 4868684042 9737368084 12171710105 24343420210 48686840420 60858550525 121717101050 243434202100