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2010110210000 = 24541571127951
BaseRepresentation
bin11101010000000011111…
…001111010111111010000
321010011110000222201210022
4131100003321322333100
5230413201203210000
64135233141523012
7265140255604664
oct35200371727720
97104400881708
102010110210000
117055348a0242
122856a5a13468
1311772502b659
146d40b5008a4
153744a8aa585
hex1d403e7afd0

2010110210000 has 100 divisors (see below), whose sum is σ = 4869813710784. Its totient is φ = 803526000000.

The previous prime is 2010110209997. The next prime is 2010110210033. The reversal of 2010110210000 is 120110102.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2010110210000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15646025 + ... + 15773975.

Almost surely, 22010110210000 is an apocalyptic number.

2010110210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010110210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434906855392).

2010110210000 is an abundant number, since it is smaller than the sum of its proper divisors (2859703500784).

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

2010110210000 is a wasteful number, since it uses less digits than its factorization.

2010110210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129550 (or 129529 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2010110210000 its reverse (120110102), we get a palindrome (2010230320102).

It can be divided in two parts, 20101102 and 10000, that added together give a palindrome (20111102).

The spelling of 2010110210000 in words is "two trillion, ten billion, one hundred ten million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1571 2000 2500 3142 5000 6284 7855 10000 12568 15710 25136 31420 39275 62840 78550 125680 127951 157100 196375 255902 314200 392750 511804 628400 639755 785500 981875 1023608 1279510 1571000 1963750 2047216 2559020 3142000 3198775 3927500 5118040 6397550 7855000 10236080 12795100 15710000 15993875 25590200 31987750 51180400 63975500 79969375 127951000 159938750 201011021 255902000 319877500 402022042 639755000 804044084 1005055105 1279510000 1608088168 2010110210 3216176336 4020220420 5025275525 8040440840 10050551050 16080881680 20101102100 25126377625 40202204200 50252755250 80404408400 100505510500 125631888125 201011021000 251263776250 402022042000 502527552500 1005055105000 2010110210000