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102310208 = 26711131597
BaseRepresentation
bin1100001100100…
…10000101000000
321010111220012222
412012102011000
5202142411313
614052510212
72351423330
oct606220500
9233456188
10102310208
115282a1a0
122a31b368
13182721b0
14d8330c0
158eae208
hex6192140

102310208 has 112 divisors (see below), whose sum is σ = 272759424. Its totient is φ = 36771840.

The previous prime is 102310207. The next prime is 102310223. The reversal of 102310208 is 802013201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1023102082 = 20934757322006528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102310207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63266 + ... + 64862.

It is an arithmetic number, because the mean of its divisors is an integer number (2435352).

Almost surely, 2102310208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102310208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136379712).

102310208 is an abundant number, since it is smaller than the sum of its proper divisors (170449216).

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

102310208 is a wasteful number, since it uses less digits than its factorization.

102310208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 102310208 is about 10114.8508639525. The cubic root of 102310208 is about 467.7060515618.

Adding to 102310208 its reverse (802013201), we get a palindrome (904323409).

The spelling of 102310208 in words is "one hundred two million, three hundred ten thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 448 572 616 704 728 832 1001 1144 1232 1456 1597 2002 2288 2464 2912 3194 4004 4576 4928 5824 6388 8008 9152 11179 12776 16016 17567 20761 22358 25552 32032 35134 41522 44716 51104 64064 70268 83044 89432 102208 122969 140536 145327 166088 178864 228371 245938 281072 290654 332176 357728 456742 491876 562144 581308 664352 715456 913484 983752 1124288 1162616 1328704 1598597 1826968 1967504 2325232 3197194 3653936 3935008 4650464 6394388 7307872 7870016 9300928 12788776 14615744 25577552 51155104 102310208