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2221013202100 = 2252711288443273
BaseRepresentation
bin100000010100011110101…
…100111111010010110100
321212022211020011210200221
4200110132230333102310
5242342113334431400
64420152552544124
7316314530503660
oct40243654772264
97768736153627
102221013202100
11786a21061810
122ba5449b2044
1313159613b534
14796d763d8a0
153cb9110ac1a
hex2051eb3f4b4

2221013202100 has 72 divisors (see below), whose sum is σ = 6008850283968. Its totient is φ = 692263852800.

The previous prime is 2221013202071. The next prime is 2221013202101. The reversal of 2221013202100 is 12023101222.

It is a happy number.

2221013202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221013202101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144213937 + ... + 144229336.

It is an arithmetic number, because the mean of its divisors is an integer number (83456253944).

Almost surely, 22221013202100 is an apocalyptic number.

2221013202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221013202100 is an abundant number, since it is smaller than the sum of its proper divisors (3787837081868).

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

2221013202100 is a wasteful number, since it uses less digits than its factorization.

2221013202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288443305 (or 288443298 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2221013202100 its reverse (12023101222), we get a palindrome (2233036303322).

The spelling of 2221013202100 in words is "two trillion, two hundred twenty-one billion, thirteen million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 288443273 576886546 1153773092 1442216365 2019102911 2884432730 3172876003 4038205822 5768865460 6345752006 7211081825 8076411644 10095514555 12691504012 14422163650 15864380015 20191029110 22210132021 28844327300 31728760030 40382058220 44420264042 50477572775 63457520060 79321900075 88840528084 100955145550 111050660105 158643800150 201910291100 222101320210 317287600300 444202640420 555253300525 1110506601050 2221013202100