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1020003123120 = 24354250013013
BaseRepresentation
bin11101101011111001110…
…11000111111110110000
310121111210202211100211220
432311330323013332300
5113202431244414440
62100325530505040
7133456425331152
oct16657473077660
93544722740756
101020003123120
11363643198403
12145824b95180
13752554c7b77
1437522d02ad2
151b7ec8ec8d0
hexed7cec7fb0

1020003123120 has 40 divisors (see below), whose sum is σ = 3162009682416. Its totient is φ = 272000832768.

The previous prime is 1020003123107. The next prime is 1020003123199. The reversal of 1020003123120 is 213213000201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×10200031231203 (a number of 37 digits) contains 333 as substring.

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 1020003123120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2125006267 + ... + 2125006746.

Almost surely, 21020003123120 is an apocalyptic number.

1020003123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020003123120 is an abundant number, since it is smaller than the sum of its proper divisors (2142006559296).

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

1020003123120 is a wasteful number, since it uses less digits than its factorization.

1020003123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250013029 (or 4250013023 counting only the distinct ones).

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

Adding to 1020003123120 its reverse (213213000201), we get a palindrome (1233216123321).

The spelling of 1020003123120 in words is "one trillion, twenty billion, three million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4250013013 8500026026 12750039039 17000052052 21250065065 25500078078 34000104104 42500130130 51000156156 63750195195 68000208208 85000260260 102000312312 127500390390 170000520520 204000624624 255000780780 340001041040 510001561560 1020003123120