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3102102120 = 2335138922343
BaseRepresentation
bin1011100011100110…
…0101001001101000
322000012011010010010
42320321211021220
522323114231440
61231452451520
7136605301335
oct27071451150
98005133103
103102102120
111352068267
12726a79ba0
133a58b2ab0
14215dc398c
15132511580
hexb8e65268

3102102120 has 128 divisors (see below), whose sum is σ = 10135238400. Its totient is φ = 754980864.

The previous prime is 3102102083. The next prime is 3102102151. The reversal of 3102102120 is 212012013.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3102102096 and 3102102105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127669 + ... + 150011.

It is an arithmetic number, because the mean of its divisors is an integer number (79181550).

Almost surely, 23102102120 is an apocalyptic number.

3102102120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3102102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067619200).

3102102120 is an abundant number, since it is smaller than the sum of its proper divisors (7033136280).

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

3102102120 is a wasteful number, since it uses less digits than its factorization.

3102102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22459 (or 22455 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3102102120 is about 55696.5180240201. The cubic root of 3102102120 is about 1458.4292420697.

Adding to 3102102120 its reverse (212012013), we get a palindrome (3314114133).

The spelling of 3102102120 in words is "three billion, one hundred two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 89 104 120 130 156 178 195 260 267 312 356 390 445 520 534 712 780 890 1068 1157 1335 1560 1780 2136 2314 2670 3471 3560 4628 5340 5785 6942 9256 10680 11570 13884 17355 22343 23140 27768 34710 44686 46280 67029 69420 89372 111715 134058 138840 178744 223430 268116 290459 335145 446860 536232 580918 670290 871377 893720 1161836 1340580 1452295 1742754 1988527 2323672 2681160 2904590 3485508 3977054 4356885 5809180 5965581 6971016 7954108 8713770 9942635 11618360 11931162 15908216 17427540 19885270 23862324 25850851 29827905 34855080 39770540 47724648 51701702 59655810 77552553 79541080 103403404 119311620 129254255 155105106 206806808 238623240 258508510 310210212 387762765 517017020 620420424 775525530 1034034040 1551051060 3102102120