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102998359662 = 231119711279109
BaseRepresentation
bin101111111101100101…
…1100011111001101110
3100211212010120210110120
41133323023203321232
53141420040002122
6115152232145410
710304252416602
oct1377313437156
9324763523416
10102998359662
113a7549860a0
1217b65b38266
139935a6b463
144db135b502
152a2c5a775c
hex17fb2e3e6e

102998359662 has 128 divisors (see below), whose sum is σ = 241798348800. Its totient is φ = 28919721600.

The previous prime is 102998359657. The next prime is 102998359669. The reversal of 102998359662 is 266953899201.

It is a junction number, because it is equal to n+sod(n) for n = 102998359596 and 102998359605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102998359669) 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, 11302764 + ... + 11311872.

It is an arithmetic number, because the mean of its divisors is an integer number (1889049600).

Almost surely, 2102998359662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102998359662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120899174400).

102998359662 is an abundant number, since it is smaller than the sum of its proper divisors (138799989138).

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

102998359662 is a wasteful number, since it uses less digits than its factorization.

102998359662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9342.

The product of its (nonzero) digits is 12597120, while the sum is 60.

The spelling of 102998359662 in words is "one hundred two billion, nine hundred ninety-eight million, three hundred fifty-nine thousand, six hundred sixty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 71 114 127 142 209 213 254 381 418 426 627 762 781 1254 1349 1397 1562 2343 2413 2698 2794 4047 4191 4686 4826 7239 8094 8382 9017 9109 14478 14839 18034 18218 26543 27051 27327 29678 44517 53086 54102 54654 79629 89034 99187 100199 159258 171323 173071 198374 200398 297561 300597 342646 346142 513969 519213 595122 601194 646739 1027938 1038426 1156843 1293478 1884553 1903781 1940217 2313686 3470529 3769106 3807562 3880434 5653659 5711343 6941058 7114129 11307318 11422686 12288041 12725273 14228258 21342387 21980017 24576082 25450546 36864123 38175819 42684774 43960034 65940051 73728246 76351638 82135853 131880102 135168451 164271706 241780187 246407559 270336902 405505353 483560374 492815118 725340561 811010706 903494383 1450681122 1560581207 1806988766 2710483149 3121162414 4681743621 5420966298 9363487242 17166393277 34332786554 51499179831 102998359662