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2120001515000 = 2354440996167
BaseRepresentation
bin11110110110011001111…
…011111110110111111000
321111200002112212102122122
4132312121323332313320
5234213230341440000
64301525405540412
7306110420360255
oct36663173766770
97450075772578
102120001515000
117480a6650176
122a2a54274708
13124bb8b5c195
14748740ac42c
153a22d182085
hex1ed99efedf8

2120001515000 has 80 divisors (see below), whose sum is σ = 4968341809200. Its totient is φ = 847799456000.

The previous prime is 2120001514987. The next prime is 2120001515003. The reversal of 2120001515000 is 5151000212.

It is a self number, because there is not a number n which added to its sum of digits gives 2120001515000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120001515003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21996917 + ... + 22093083.

It is an arithmetic number, because the mean of its divisors is an integer number (62104272615).

Almost surely, 22120001515000 is an apocalyptic number.

2120001515000 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 2120001515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484170904600).

2120001515000 is an abundant number, since it is smaller than the sum of its proper divisors (2848340294200).

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

2120001515000 is an equidigital number, since it uses as much as digits as its factorization.

2120001515000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100602 (or 100583 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

Adding to 2120001515000 its reverse (5151000212), we get a palindrome (2125152515212).

The spelling of 2120001515000 in words is "two trillion, one hundred twenty billion, one million, five hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 4409 5000 8818 17636 22045 35272 44090 88180 96167 110225 176360 192334 220450 384668 440900 480835 551125 769336 881800 961670 1102250 1923340 2204500 2404175 2755625 3846680 4409000 4808350 5511250 9616700 11022500 12020875 19233400 22045000 24041750 48083500 60104375 96167000 120208750 240417500 424000303 480835000 848000606 1696001212 2120001515 3392002424 4240003030 8480006060 10600007575 16960012120 21200015150 42400030300 53000037875 84800060600 106000075750 212000151500 265000189375 424000303000 530000378750 1060000757500 2120001515000