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102214300035 = 35312431031601
BaseRepresentation
bin101111100110001110…
…0100111000110000011
3100202211111020102212010
41133030130213012003
53133313330100120
6114542343104003
710245652133511
oct1371434470603
9322744212763
10102214300035
113a392342531
1217987442003
13983c4a9c53
144d391814b1
1529d382d7e0
hex17cc727183

102214300035 has 96 divisors (see below), whose sum is σ = 174706481664. Its totient is φ = 50996736000.

The previous prime is 102214300033. The next prime is 102214300051. The reversal of 102214300035 is 530003412201.

It is not a de Polignac number, because 102214300035 - 21 = 102214300033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102214299984 and 102214300020.

It is not an unprimeable number, because it can be changed into a prime (102214300031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63843235 + ... + 63844835.

It is an arithmetic number, because the mean of its divisors is an integer number (1819859184).

Almost surely, 2102214300035 is an apocalyptic number.

102214300035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102214300035 is a deficient number, since it is larger than the sum of its proper divisors (72492181629).

102214300035 is a wasteful number, since it uses less digits than its factorization.

102214300035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 102214300035 its reverse (530003412201), we get a palindrome (632217712236).

The spelling of 102214300035 in words is "one hundred two billion, two hundred fourteen million, three hundred thousand, thirty-five".

Divisors: 1 3 5 15 31 43 93 103 129 155 215 309 465 515 645 961 1333 1545 1601 2883 3193 3999 4429 4803 4805 6665 8005 9579 13287 14415 15965 19995 22145 24015 41323 47895 49631 66435 68843 98983 123969 137299 148893 164903 206529 206615 248155 296949 344215 411897 494709 494915 619845 686495 744465 824515 1032645 1484745 1538561 2059485 2134133 2473545 4256269 4615683 5111993 6402399 7090829 7692805 10670665 12768807 15335979 21272487 21281345 23078415 25559965 32011995 35454145 63844035 66158123 76679895 106362435 158471783 198474369 219815699 330790615 475415349 659447097 792358915 992371845 1099078495 2377076745 3297235485 6814286669 20442860007 34071433345 102214300035