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2003100012120 = 2335208724233301
BaseRepresentation
bin11101001001100010000…
…100001000111001011000
321002111100111001210010210
4131021202010020321120
5230304322100341440
64132113401011120
7264501454113204
oct35114204107130
97074314053123
102003100012120
11702567810879
1228426a183aa0
13116b78894a7c
146cd4448bb04
153718a229a80
hex1d262108e58

2003100012120 has 128 divisors (see below), whose sum is σ = 6016482800640. Its totient is φ = 533522035200.

The previous prime is 2003100012049. The next prime is 2003100012187. The reversal of 2003100012120 is 212100013002.

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 = 2003100012096 and 2003100012105.

It is a congruent number.

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, 606814470 + ... + 606817770.

It is an arithmetic number, because the mean of its divisors is an integer number (47003771880).

Almost surely, 22003100012120 is an apocalyptic number.

2003100012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003100012120 is an abundant number, since it is smaller than the sum of its proper divisors (4013382788520).

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

2003100012120 is a wasteful number, since it uses less digits than its factorization.

2003100012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7825 (or 7821 counting only the distinct ones).

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

Adding to 2003100012120 its reverse (212100013002), we get a palindrome (2215200025122).

The spelling of 2003100012120 in words is "two trillion, three billion, one hundred million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2087 2423 3301 4174 4846 6261 6602 7269 8348 9692 9903 10435 12115 12522 13204 14538 16505 16696 19384 19806 20870 24230 25044 26408 29076 31305 33010 36345 39612 41740 48460 49515 50088 58152 62610 66020 72690 79224 83480 96920 99030 125220 132040 145380 198060 250440 290760 396120 5056801 6889187 7998323 10113602 13778374 15170403 15996646 20227204 20667561 23994969 25284005 27556748 30340806 31993292 34445935 39991615 40454408 41335122 47989938 50568010 55113496 60681612 63986584 68891870 75852015 79983230 82670244 95979876 101136020 103337805 119974845 121363224 137783740 151704030 159966460 165340488 191959752 202272040 206675610 239949690 275567480 303408060 319932920 413351220 479899380 606816120 826702440 959798760 16692500101 33385000202 50077500303 66770000404 83462500505 100155000606 133540000808 166925001010 200310001212 250387501515 333850002020 400620002424 500775003030 667700004040 1001550006060 2003100012120