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102410032122 = 232293743123311
BaseRepresentation
bin101111101100000011…
…1010001001111111010
3100210100010112122210200
41133120013101033322
53134213432011442
6115014014223030
710253546624136
oct1373007211772
9323303478720
10102410032122
113a48287a992
1217a20ab4a76
139870bcb758
144d571723c6
1529e5ae334c
hex17d81d13fa

102410032122 has 96 divisors (see below), whose sum is σ = 241227866880. Its totient is φ = 31322712960.

The previous prime is 102410032037. The next prime is 102410032141. The reversal of 102410032122 is 221230014201.

It is a happy number.

102410032122 is a `hidden beast` number, since 102 + 410 + 0 + 32 + 122 = 666.

It is a super-3 number, since 3×1024100321223 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102410032095 and 102410032104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768847 + ... + 892157.

It is an arithmetic number, because the mean of its divisors is an integer number (2512790280).

Almost surely, 2102410032122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102410032122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120613933440).

102410032122 is an abundant number, since it is smaller than the sum of its proper divisors (138817834758).

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

102410032122 is a wasteful number, since it uses less digits than its factorization.

102410032122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123428 (or 123425 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102410032122 its reverse (221230014201), we get a palindrome (323640046323).

The spelling of 102410032122 in words is "one hundred two billion, four hundred ten million, thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 37 43 58 74 86 87 111 129 174 222 258 261 333 387 522 666 774 1073 1247 1591 2146 2494 3182 3219 3741 4773 6438 7482 9546 9657 11223 14319 19314 22446 28638 46139 92278 123311 138417 246622 276834 369933 415251 739866 830502 1109799 2219598 3576019 4562507 5302373 7152038 9125014 10604746 10728057 13687521 15907119 21456114 27375042 31814238 32184171 41062563 47721357 64368342 82125126 95442714 132312703 153768817 196187801 264625406 307537634 392375602 396938109 461306451 588563403 793876218 922612902 1177126806 1190814327 1383919353 1765690209 2381628654 2767838706 3531380418 5689446229 11378892458 17068338687 34136677374 51205016061 102410032122