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204142101210 = 232513721178467
BaseRepresentation
bin1011111000011111010…
…0010100001011011010
3201111221000101020011100
42332013310110023122
511321040334214320
6233440453412230
720514555141555
oct2760764241332
9644830336140
10204142101210
1179637992143
123369293a076
1316334505438
149c4826569c
15549be18790
hex2f87d142da

204142101210 has 96 divisors (see below), whose sum is σ = 537184395072. Its totient is φ = 53783735040.

The previous prime is 204142101197. The next prime is 204142101271. The reversal of 204142101210 is 12101241402.

204142101210 is a `hidden beast` number, since 20 + 414 + 21 + 0 + 1 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2562397 + ... + 2640863.

It is an arithmetic number, because the mean of its divisors is an integer number (5595670782).

Almost surely, 2204142101210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204142101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268592197536).

204142101210 is an abundant number, since it is smaller than the sum of its proper divisors (333042293862).

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

204142101210 is a wasteful number, since it uses less digits than its factorization.

204142101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78828 (or 78825 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 204142101210 its reverse (12101241402), we get a palindrome (216243342612).

The spelling of 204142101210 in words is "two hundred four billion, one hundred forty-two million, one hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 211 274 411 422 633 685 822 1055 1233 1266 1370 1899 2055 2110 2466 3165 3798 4110 6165 6330 9495 12330 18990 28907 57814 78467 86721 144535 156934 173442 235401 260163 289070 392335 433605 470802 520326 706203 784670 867210 1177005 1300815 1412406 2354010 2601630 3531015 7062030 10749979 16556537 21499958 32249937 33113074 49669611 53749895 64499874 82782685 96749811 99339222 107499790 149008833 161249685 165565370 193499622 248348055 298017666 322499370 483749055 496696110 745044165 967498110 1490088330 2268245569 4536491138 6804736707 11341227845 13609473414 20414210121 22682455690 34023683535 40828420242 68047367070 102071050605 204142101210