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2101020003120 = 243541213518293
BaseRepresentation
bin11110100100101110100…
…011010000101100110000
321102212002200210201110010
4132210232203100230300
5233410342110044440
64245110102134520
7304536143235423
oct36445643205460
97385080721403
102101020003120
11740046022375
1229b237421440
1312318249594c
14739931879ba
15399bba4a580
hex1e92e8d0b30

2101020003120 has 80 divisors (see below), whose sum is σ = 6672019650912. Its totient is φ = 546606827520.

The previous prime is 2101020003107. The next prime is 2101020003139. The reversal of 2101020003120 is 213000201012.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 2101020003096 and 2101020003105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106749307 + ... + 106768986.

Almost surely, 22101020003120 is an apocalyptic number.

2101020003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101020003120 is an abundant number, since it is smaller than the sum of its proper divisors (4570999647792).

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

2101020003120 is a wasteful number, since it uses less digits than its factorization.

2101020003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213518350 (or 213518344 counting only the distinct ones).

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

Adding to 2101020003120 its reverse (213000201012), we get a palindrome (2314020204132).

The spelling of 2101020003120 in words is "two trillion, one hundred one billion, twenty million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 213518293 427036586 640554879 854073172 1067591465 1281109758 1708146344 2135182930 2562219516 3202774395 3416292688 4270365860 5124439032 6405548790 8540731720 8754250013 10248878064 12811097580 17081463440 17508500026 25622195160 26262750039 35017000052 43771250065 51244390320 52525500078 70034000104 87542500130 105051000156 131313750195 140068000208 175085000260 210102000312 262627500390 350170000520 420204000624 525255000780 700340001040 1050510001560 2101020003120