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2106413142500 = 22547919754139
BaseRepresentation
bin11110101001110000000…
…000011101000111100100
321110101000112221120212002
4132221300000131013210
5234002413231030000
64251401155544432
7305116611202022
oct36516000350744
97411015846762
102106413142500
11742363339857
122a02a15bb118
13123831903194
1473d45545712
1539bd525c8d5
hex1ea7001d1e4

2106413142500 has 120 divisors (see below), whose sum is σ = 4688376739200. Its totient is φ = 827661744000.

The previous prime is 2106413142467. The next prime is 2106413142503. The reversal of 2106413142500 is 52413146012.

It is not an unprimeable number, because it can be changed into a prime (2106413142503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38880431 + ... + 38934569.

It is an arithmetic number, because the mean of its divisors is an integer number (39069806160).

Almost surely, 22106413142500 is an apocalyptic number.

2106413142500 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 2106413142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344188369600).

2106413142500 is an abundant number, since it is smaller than the sum of its proper divisors (2581963596700).

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

2106413142500 is a wasteful number, since it uses less digits than its factorization.

2106413142500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54439 (or 54422 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 2106413142500 its reverse (52413146012), we get a palindrome (2158826288512).

The spelling of 2106413142500 in words is "two trillion, one hundred six billion, four hundred thirteen million, one hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 125 158 197 250 316 394 395 500 625 788 790 985 1250 1580 1970 1975 2500 3940 3950 4925 7900 9850 9875 15563 19700 19750 24625 31126 39500 49250 49375 54139 62252 77815 98500 98750 108278 123125 155630 197500 216556 246250 270695 311260 389075 492500 541390 778150 1082780 1353475 1556300 1945375 2706950 3890750 4276981 5413900 6767375 7781500 8553962 9726875 10665383 13534750 17107924 19453750 21330766 21384905 27069500 33836875 38907500 42661532 42769810 53326915 67673750 85539620 106653830 106924525 135347500 213307660 213849050 266634575 427698100 533269150 534622625 842565257 1066538300 1069245250 1333172875 1685130514 2138490500 2666345750 2673113125 3370261028 4212826285 5332691500 5346226250 6665864375 8425652570 10692452500 13331728750 16851305140 21064131425 26663457500 42128262850 84256525700 105320657125 210641314250 421282628500 526603285625 1053206571250 2106413142500