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166002042102 = 231317419509587
BaseRepresentation
bin1001101010011001111…
…1100010010011110110
3120212110222010110220120
42122212133202103312
510204433010321402
6204132115512410
714664454035141
oct2324637422366
9525428113816
10166002042102
1164445909236
12282098b8706
131286689c020
14806aad5058
1544b887a3bc
hex26a67e24f6

166002042102 has 128 divisors (see below), whose sum is σ = 380871590400. Its totient is φ = 47782496256.

The previous prime is 166002042097. The next prime is 166002042109. The reversal of 166002042102 is 201240200661.

It is a super-3 number, since 3×1660020421023 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166002042109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282797053 + ... + 282797639.

It is an arithmetic number, because the mean of its divisors is an integer number (2975559300).

Almost surely, 2166002042102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166002042102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190435795200).

166002042102 is an abundant number, since it is smaller than the sum of its proper divisors (214869548298).

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

166002042102 is a wasteful number, since it uses less digits than its factorization.

166002042102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 166002042102 its reverse (201240200661), we get a palindrome (367242242763).

The spelling of 166002042102 in words is "one hundred sixty-six billion, two million, forty-two thousand, one hundred two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 419 442 509 587 663 838 1018 1174 1257 1326 1527 1761 2514 3054 3522 5447 6617 7123 7631 8653 9979 10894 13234 14246 15262 16341 17306 19851 19958 21369 22893 25959 29937 32682 39702 42738 45786 51918 59874 92599 112489 129727 185198 213271 224978 245953 259454 277797 298783 337467 389181 426542 491906 555594 597566 639813 674934 737859 778362 896349 1279626 1475718 1792698 2772523 3197389 3625607 3884179 4181201 5079311 5545046 6394778 7251214 7768358 8317569 8362402 9592167 10158622 10876821 11652537 12543603 15237933 16635138 19184334 21753642 23305074 25087206 30475866 47132891 54355613 66031043 94265782 108711226 125190077 132062086 141398673 163066839 198093129 250380154 282797346 326133678 375570231 396186258 751140462 1627471001 2128231309 3254942002 4256462618 4882413003 6384693927 9764826006 12769387854 27667007017 55334014034 83001021051 166002042102