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2002101344120 = 235159731341599
BaseRepresentation
bin11101001000100110100…
…010100001011101111000
321002101202212220012012002
4131020212202201131320
5230300300421002440
64131430324040132
7264434636430533
oct35104642413570
97071685805162
102002101344120
117020a5017819
1228402b833048
13116a49a02c67
146cc8b9a9a1a
153712c70d115
hex1d2268a1778

2002101344120 has 32 divisors (see below), whose sum is σ = 4507548912000. Its totient is φ = 800339046528.

The previous prime is 2002101344027. The next prime is 2002101344123. The reversal of 2002101344120 is 214431012002.

It is a super-2 number, since 2×20021013441202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2002101344092 and 2002101344101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002101344123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15606920 + ... + 15734679.

It is an arithmetic number, because the mean of its divisors is an integer number (140860903500).

Almost surely, 22002101344120 is an apocalyptic number.

2002101344120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002101344120 is an abundant number, since it is smaller than the sum of its proper divisors (2505447567880).

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

2002101344120 is a wasteful number, since it uses less digits than its factorization.

2002101344120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31343207 (or 31343203 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2002101344120 its reverse (214431012002), we get a palindrome (2216532356122).

The spelling of 2002101344120 in words is "two trillion, two billion, one hundred one million, three hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1597 3194 6388 7985 12776 15970 31940 63880 31341599 62683198 125366396 156707995 250732792 313415990 626831980 1253663960 50052533603 100105067206 200210134412 250262668015 400420268824 500525336030 1001050672060 2002101344120