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5205430235100 = 2235223754410179
BaseRepresentation
bin100101110111111101111…
…0100011110111111011100
3200102122010101100100002010
41023233323310132333130
51140241210120010400
615023201443231220
71045036261643304
oct113577364367734
920378111310063
105205430235100
111727679731767
12700a20078510
132b9b4040b5b4
1413dd30b20604
1590612784450
hex4bbfbd1efdc

5205430235100 has 72 divisors (see below), whose sum is σ = 15715872869760. Its totient is φ = 1327761913280.

The previous prime is 5205430235069. The next prime is 5205430235111. The reversal of 5205430235100 is 15320345025.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 377198190 + ... + 377211989.

It is an arithmetic number, because the mean of its divisors is an integer number (218276012080).

Almost surely, 25205430235100 is an apocalyptic number.

5205430235100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5205430235100 is an abundant number, since it is smaller than the sum of its proper divisors (10510442634660).

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

5205430235100 is a wasteful number, since it uses less digits than its factorization.

5205430235100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754410219 (or 754410212 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 5205430235100 in words is "five trillion, two hundred five billion, four hundred thirty million, two hundred thirty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 754410179 1508820358 2263230537 3017640716 3772050895 4526461074 7544101790 9052922148 11316152685 15088203580 17351434117 18860254475 22632305370 34702868234 37720508950 45264610740 52054302351 56580763425 69405736468 75441017900 86757170585 104108604702 113161526850 173514341170 208217209404 226323053700 260271511755 347028682340 433785852925 520543023510 867571705850 1041086047020 1301357558775 1735143411700 2602715117550 5205430235100