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102102000223314 = 23713832212247029
BaseRepresentation
bin10111001101110001111001…
…011101000100010001010010
3111101111212002221120121001110
4113031301321131010101102
5101340314344024121224
61001053002242314150
730335424514220550
oct2715617135042122
9441455087517043
10102102000223314
112a595240372483
12b550075358956
1344c823c711930
141b2da98238bd0
15bc0d923e0929
hex5cdc79744452

102102000223314 has 64 divisors (see below), whose sum is σ = 251331132407040. Its totient is φ = 26927664503040.

The previous prime is 102102000223291. The next prime is 102102000223319. The reversal of 102102000223314 is 413322000201201.

It is a super-2 number, since 2×1021020002233142 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (102102000223319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44315152 + ... + 46562180.

It is an arithmetic number, because the mean of its divisors is an integer number (3927048943860).

Almost surely, 2102102000223314 is an apocalyptic number.

102102000223314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102102000223314 is an abundant number, since it is smaller than the sum of its proper divisors (149229132183726).

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

102102000223314 is a wasteful number, since it uses less digits than its factorization.

102102000223314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330275.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102102000223314 its reverse (413322000201201), we get a palindrome (515424000424515).

The spelling of 102102000223314 in words is "one hundred two trillion, one hundred two billion, two hundred twenty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 83221 166442 249663 499326 582547 1081873 1165094 1747641 2163746 2247029 3245619 3495282 4494058 6491238 6741087 7573111 13482174 15146222 15729203 22719333 29211377 31458406 45438666 47187609 58422754 87634131 94375218 175268262 204479639 408959278 613438917 1226877834 187000000409 374000000818 561000001227 1122000002454 1309000002863 2431000005317 2618000005726 3927000008589 4862000010634 7293000015951 7854000017178 14586000031902 17017000037219 34034000074438 51051000111657 102102000223314