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201102000242 = 211213179374013
BaseRepresentation
bin1011101101001010011…
…1010000000001110010
3201020002010220002122012
42323102213100001302
511243324103001432
6232215053442522
720346331540463
oct2732247200162
9636063802565
10201102000242
1178317922300
1232b847a0442
1315c6b720420
149a3a5c0d6a
1553700a2cb2
hex2ed29d0072

201102000242 has 96 divisors (see below), whose sum is σ = 378576492336. Its totient is φ = 79310499840.

The previous prime is 201102000241. The next prime is 201102000301. The reversal of 201102000242 is 242000201102.

It can be written as a sum of positive squares in 8 ways, for example, as 73051818961 + 128050181281 = 270281^2 + 357841^2 .

It is not an unprimeable number, because it can be changed into a prime (201102000241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50110628 + ... + 50114640.

Almost surely, 2201102000242 is an apocalyptic number.

201102000242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201102000242 is a deficient number, since it is larger than the sum of its proper divisors (177474492094).

201102000242 is a wasteful number, since it uses less digits than its factorization.

201102000242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 201102000242 its reverse (242000201102), we get a palindrome (443102201344).

The spelling of 201102000242 in words is "two hundred one billion, one hundred two million, two hundred forty-two", and thus it is an aban number.

Divisors: 1 2 11 13 17 22 26 34 121 143 187 221 242 286 374 442 937 1573 1874 2057 2431 3146 4013 4114 4862 8026 10307 12181 15929 20614 24362 26741 31858 44143 52169 53482 68221 88286 104338 113377 133991 136442 175219 207077 226754 267982 350438 414154 485573 573859 750431 886873 971146 1147718 1473901 1500862 1773746 1927409 2277847 2947802 3760181 3854818 4555694 6312449 7520362 8254741 9755603 12624898 16509482 19511206 25056317 41361991 48882353 50112634 63923077 82723982 97764706 107311633 127846154 214623266 454981901 537705883 703153847 831000001 909963802 1075411766 1406307694 1662000002 5914764713 7734692317 9141000011 11829529426 15469384634 18282000022 100551000121 201102000242