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2002111012 = 2211217613989
BaseRepresentation
bin111011101010101…
…1100101000100100
312011112022202222201
41313111130220210
513100020023022
6530400104244
7100420443226
oct16725345044
95145282881
102002111012
11938159700
1247a605084
1325ba36195
1414dc88416
15bab7d127
hex7755ca24

2002111012 has 72 divisors (see below), whose sum is σ = 4145594040. Its totient is φ = 842265600.

The previous prime is 2002110953. The next prime is 2002111039. The reversal of 2002111012 is 2101112002.

It can be written as a sum of positive squares in 4 ways, for example, as 98883136 + 1903227876 = 9944^2 + 43626^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2002111012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499914 + ... + 503902.

It is an arithmetic number, because the mean of its divisors is an integer number (57577695).

Almost surely, 22002111012 is an apocalyptic number.

2002111012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2002111012 is an abundant number, since it is smaller than the sum of its proper divisors (2143483028).

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

2002111012 is a wasteful number, since it uses less digits than its factorization.

2002111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4093 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2002111012 is about 44744.9551569783. The cubic root of 2002111012 is about 1260.3641787656.

Adding to 2002111012 its reverse (2101112002), we get a palindrome (4103223014).

The spelling of 2002111012 in words is "two billion, two million, one hundred eleven thousand, twelve".

Divisors: 1 2 4 11 17 22 34 44 61 68 121 122 187 242 244 374 484 671 748 1037 1342 2057 2074 2684 3989 4114 4148 7381 7978 8228 11407 14762 15956 22814 29524 43879 45628 67813 87758 125477 135626 175516 243329 250954 271252 482669 486658 501908 745943 965338 973316 1491886 1930676 2676619 2983772 4136593 5353238 8205373 8273186 10706476 16410746 16546372 29442809 32821492 45502523 58885618 91005046 117771236 182010092 500527753 1001055506 2002111012