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20505342130 = 2572134996451
BaseRepresentation
bin10011000110001101…
…101011000010110010
31221221001102022022221
4103012031223002302
5313443331422010
613230420351254
71324066350400
oct230615530262
957831368287
1020505342130
118772805049
123b8324552a
131c1a2b0450
14dc746c470
158002dbdda
hex4c636b0b2

20505342130 has 96 divisors (see below), whose sum is σ = 46338264000. Its totient is φ = 6475593600.

The previous prime is 20505342079. The next prime is 20505342131. The reversal of 20505342130 is 3124350502.

It is a junction number, because it is equal to n+sod(n) for n = 20505342095 and 20505342104.

It is not an unprimeable number, because it can be changed into a prime (20505342131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3175405 + ... + 3181855.

It is an arithmetic number, because the mean of its divisors is an integer number (482690250).

Almost surely, 220505342130 is an apocalyptic number.

20505342130 is an abundant number, since it is smaller than the sum of its proper divisors (25832921870).

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

20505342130 is a wasteful number, since it uses less digits than its factorization.

20505342130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6984 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 20505342130 its reverse (3124350502), we get a palindrome (23629692632).

The spelling of 20505342130 in words is "twenty billion, five hundred five million, three hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 455 490 499 637 910 998 1274 2495 3185 3493 4990 6370 6451 6487 6986 12902 12974 17465 24451 32255 32435 34930 45157 45409 48902 64510 64870 83863 90314 90818 122255 167726 225785 227045 244510 316099 317863 419315 451570 454090 587041 632198 635726 838630 1174082 1580495 1589315 2935205 3160990 3178630 3219049 4109287 5870410 6438098 8218574 16095245 20546435 22533343 32190490 41092870 41847637 45066686 83695274 112666715 157733401 209238185 225333430 292933459 315466802 418476370 585866918 788667005 1464667295 1577334010 2050534213 2929334590 4101068426 10252671065 20505342130