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2002100120 = 235467310711
BaseRepresentation
bin111011101010101…
…1001111110011000
312011112022020001022
41313111121332120
513100014200440
6530355542012
7100420366406
oct16725317630
95145266038
102002100120
119381514a9
1247a5ba908
1325ba31237
1414dc84476
15bab79cb5
hex77559f98

2002100120 has 32 divisors (see below), whose sum is σ = 4506109920. Its totient is φ = 800593920.

The previous prime is 2002100099. The next prime is 2002100201. The reversal of 2002100120 is 210012002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2002100098 and 2002100107.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 181565 + ... + 192275.

It is an arithmetic number, because the mean of its divisors is an integer number (140815935).

Almost surely, 22002100120 is an apocalyptic number.

2002100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002100120 is an abundant number, since it is smaller than the sum of its proper divisors (2504009800).

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

2002100120 is a wasteful number, since it uses less digits than its factorization.

2002100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15395 (or 15391 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2002100120 is about 44744.8334447677. The cubic root of 2002100120 is about 1260.3618931928.

Adding to 2002100120 its reverse (210012002), we get a palindrome (2212112122).

The spelling of 2002100120 in words is "two billion, two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 4673 9346 10711 18692 21422 23365 37384 42844 46730 53555 85688 93460 107110 186920 214220 428440 50052503 100105006 200210012 250262515 400420024 500525030 1001050060 2002100120