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2100200110120 = 235728867259837
BaseRepresentation
bin11110100011111101101…
…011100111100000101000
321102202222120000211200201
4132203331223213200220
5233402202212010440
64244452453041544
7304506626250010
oct36437553474050
97382876024621
102100200110120
1173a765234652
1229b0489262b4
13123081669268
1473916320c40
153996ea9419a
hex1e8fdae7828

2100200110120 has 64 divisors (see below), whose sum is σ = 5400722436480. Its totient is φ = 720040893696.

The previous prime is 2100200110109. The next prime is 2100200110121. The reversal of 2100200110120 is 210110020012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2100200110097 and 2100200110106.

It is not an unprimeable number, because it can be changed into a prime (2100200110121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7952842 + ... + 8212678.

It is an arithmetic number, because the mean of its divisors is an integer number (84386288070).

Almost surely, 22100200110120 is an apocalyptic number.

2100200110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100200110120 is an abundant number, since it is smaller than the sum of its proper divisors (3300522326360).

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

2100200110120 is a wasteful number, since it uses less digits than its factorization.

2100200110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288722 (or 288718 counting only the distinct ones).

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

Adding to 2100200110120 its reverse (210110020012), we get a palindrome (2310310130132).

The spelling of 2100200110120 in words is "two trillion, one hundred billion, two hundred million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 28867 57734 115468 144335 202069 230936 259837 288670 404138 519674 577340 808276 1010345 1039348 1154680 1299185 1616552 1818859 2020690 2078696 2598370 3637718 4041380 5196740 7275436 8082760 9094295 10393480 14550872 18188590 36377180 72754360 7500714679 15001429358 30002858716 37503573395 52505002753 60005717432 75007146790 105010005506 150014293580 210020011012 262525013765 300028587160 420040022024 525050027530 1050100055060 2100200110120