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2043142424100 = 2232526137215709
BaseRepresentation
bin11101101110110100110…
…001110100011000100100
321020022201002221001221100
4131232310301310120210
5231433323430032400
64202335012520100
7300416655026121
oct35566461643044
97208632831840
102043142424100
117185456a7638
1228bb84320030
1311a88a67697b
1470c62539748
15382307dd100
hex1dbb4c74624

2043142424100 has 108 divisors (see below), whose sum is σ = 6509102110420. Its totient is φ = 535906195200.

The previous prime is 2043142424093. The next prime is 2043142424101. The reversal of 2043142424100 is 14242413402.

2043142424100 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 1 + 4 + 242 + 410 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 897077968164 + 1146064455936 = 947142^2 + 1070544^2 .

It is not an unprimeable number, because it can be changed into a prime (2043142424101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18552955 + ... + 18662754.

Almost surely, 22043142424100 is an apocalyptic number.

2043142424100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2043142424100 is an abundant number, since it is smaller than the sum of its proper divisors (4465959686320).

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

2043142424100 is a wasteful number, since it uses less digits than its factorization.

2043142424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37215790 (or 37215780 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2043142424100 its reverse (14242413402), we get a palindrome (2057384837502).

The spelling of 2043142424100 in words is "two trillion, forty-three billion, one hundred forty-two million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 61 75 90 100 122 150 180 183 225 244 300 305 366 450 549 610 732 900 915 1098 1220 1525 1830 2196 2745 3050 3660 4575 5490 6100 9150 10980 13725 18300 27450 54900 37215709 74431418 111647127 148862836 186078545 223294254 334941381 372157090 446588508 558235635 669882762 744314180 930392725 1116471270 1339765524 1674706905 1860785450 2232942540 2270158249 2791178175 3349413810 3721570900 4540316498 5582356350 6698827620 6810474747 8373534525 9080632996 11164712700 11350791245 13620949494 16747069050 20431424241 22701582490 27241898988 33494138100 34052373735 40862848482 45403164980 56753956225 68104747470 81725696964 102157121205 113507912450 136209494940 170261868675 204314242410 227015824900 340523737350 408628484820 510785606025 681047474700 1021571212050 2043142424100