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1320003210120 = 233579371677089
BaseRepresentation
bin10011001101010110010…
…100101000101110001000
311200012011021220210221020
4103031112110220232020
5133111331310210440
62450222345512440
7164236624105260
oct23152624505610
94605137823836
101320003210120
114698a0444001
121939aa4a2720
139762535724a
1447c620687a0
152450a0c73d0
hex13356528b88

1320003210120 has 128 divisors (see below), whose sum is σ = 4530558009600. Its totient is φ = 301392838656.

The previous prime is 1320003210079. The next prime is 1320003210133. The reversal of 1320003210120 is 210123000231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1320003210120.

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, 51465 + ... + 1625624.

It is an arithmetic number, because the mean of its divisors is an integer number (35394984450).

Almost surely, 21320003210120 is an apocalyptic number.

1320003210120 is a gapful number since it is divisible by the number (10) 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 1320003210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265279004800).

1320003210120 is an abundant number, since it is smaller than the sum of its proper divisors (3210554799480).

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

1320003210120 is a wasteful number, since it uses less digits than its factorization.

1320003210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678047 (or 1678043 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1320003210120 its reverse (210123000231), we get a palindrome (1530126210351).

The spelling of 1320003210120 in words is "one trillion, three hundred twenty billion, three million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 937 1874 2811 3748 4685 5622 6559 7496 9370 11244 13118 14055 18740 19677 22488 26236 28110 32795 37480 39354 52472 56220 65590 78708 98385 112440 131180 157416 196770 262360 393540 787080 1677089 3354178 5031267 6708356 8385445 10062534 11739623 13416712 16770890 20125068 23479246 25156335 33541780 35218869 40250136 46958492 50312670 58698115 67083560 70437738 93916984 100625340 117396230 140875476 176094345 201250680 234792460 281750952 352188690 469584920 704377380 1408754760 1571432393 3142864786 4714297179 6285729572 7857161965 9428594358 11000026751 12571459144 15714323930 18857188716 22000053502 23571485895 31428647860 33000080253 37714377432 44000107004 47142971790 55000133755 62857295720 66000160506 88000214008 94285943580 110000267510 132000321012 165000401265 188571887160 220000535020 264000642024 330000802530 440001070040 660001605060 1320003210120