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2120112020100 = 2235243164349769
BaseRepresentation
bin11110110110100000100…
…001100001101010000100
321111200101020210200011010
4132312200201201222010
5234213442134120400
64301544354242220
7306113231554464
oct36664041415204
97450336720133
102120112020100
11748152a672a8
122a2a85286370
13124c05a10409
1474884a35ba4
153a237c0e450
hex1eda0861a84

2120112020100 has 72 divisors (see below), whose sum is σ = 6276846415840. Its totient is φ = 552215220480.

The previous prime is 2120112020093. The next prime is 2120112020101. The reversal of 2120112020100 is 10202110212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2120112020101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82161985 + ... + 82187784.

Almost surely, 22120112020100 is an apocalyptic number.

2120112020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120112020100 is an abundant number, since it is smaller than the sum of its proper divisors (4156734395740).

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

2120112020100 is a wasteful number, since it uses less digits than its factorization.

2120112020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164349829 (or 164349822 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2120112020100 its reverse (10202110212), we get a palindrome (2130314130312).

The spelling of 2120112020100 in words is "two trillion, one hundred twenty billion, one hundred twelve million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 12900 164349769 328699538 493049307 657399076 821748845 986098614 1643497690 1972197228 2465246535 3286995380 4108744225 4930493070 7067040067 8217488450 9860986140 12326232675 14134080134 16434976900 21201120201 24652465350 28268160268 35335200335 42402240402 49304930700 70670400670 84804480804 106005601005 141340801340 176676001675 212011202010 353352003350 424022404020 530028005025 706704006700 1060056010050 2120112020100