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2002001110000 = 2454701328547
BaseRepresentation
bin11101001000100000100…
…100001010001111110000
321002101111220021202211021
4131020200210022033300
5230300044241010000
64131412343425224
7264432311442013
oct35104044121760
97071456252737
102002001110000
11702053486401
12284002155214
13116a32009a28
146cc7c55737a
1537123a0e11a
hex1d22090a3f0

2002001110000 has 100 divisors (see below), whose sum is σ = 4847905854792. Its totient is φ = 800658208000.

The previous prime is 2002001109989. The next prime is 2002001110099. The reversal of 2002001110000 is 111002002.

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

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, 70115727 + ... + 70144273.

Almost surely, 22002001110000 is an apocalyptic number.

2002001110000 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 2002001110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423952927396).

2002001110000 is an abundant number, since it is smaller than the sum of its proper divisors (2845904744792).

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

2002001110000 is an equidigital number, since it uses as much as digits as its factorization.

2002001110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35588 (or 35567 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2002001110000 its reverse (111002002), we get a palindrome (2002112112002).

The spelling of 2002001110000 in words is "two trillion, two billion, one million, one 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 2000 2500 5000 7013 10000 14026 28052 28547 35065 56104 57094 70130 112208 114188 140260 142735 175325 228376 280520 285470 350650 456752 561040 570940 701300 713675 876625 1141880 1402600 1427350 1753250 2283760 2805200 2854700 3506500 3568375 4383125 5709400 7013000 7136750 8766250 11418800 14026000 14273500 17532500 17841875 28547000 35065000 35683750 57094000 70130000 71367500 142735000 200200111 285470000 400400222 800800444 1001000555 1601600888 2002001110 3203201776 4004002220 5005002775 8008004440 10010005550 16016008880 20020011100 25025013875 40040022200 50050027750 80080044400 100100055500 125125069375 200200111000 250250138750 400400222000 500500277500 1001000555000 2002001110000