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2101224220040 = 235116317568161
BaseRepresentation
bin11110100100111010101…
…110010010010110001000
321102212121221002000101202
4132210322232102112020
5233411301400020130
64245142235203332
7304544203115141
oct36447256222610
97385557060352
102101224220040
11740140325590
1229b2938a6548
131231b589846a
14739b2346ac8
15399ce939145
hex1e93ab92588

2101224220040 has 64 divisors (see below), whose sum is σ = 5165724654720. Its totient is φ = 762870528000.

The previous prime is 2101224220021. The next prime is 2101224220049. The reversal of 2101224220040 is 400224221012.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2101224219994 and 2101224220021.

It is not an unprimeable number, because it can be changed into a prime (2101224220049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3506441 + ... + 4061720.

It is an arithmetic number, because the mean of its divisors is an integer number (80714447730).

Almost surely, 22101224220040 is an apocalyptic number.

2101224220040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101224220040 is an abundant number, since it is smaller than the sum of its proper divisors (3064500434680).

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

2101224220040 is a wasteful number, since it uses less digits than its factorization.

2101224220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568814 (or 7568810 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2101224220040 its reverse (400224221012), we get a palindrome (2501448441052).

The spelling of 2101224220040 in words is "two trillion, one hundred one billion, two hundred twenty-four million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 631 1262 2524 3155 5048 6310 6941 12620 13882 25240 27764 34705 55528 69410 138820 277640 7568161 15136322 30272644 37840805 60545288 75681610 83249771 151363220 166499542 302726440 332999084 416248855 665998168 832497710 1664995420 3329990840 4775509591 9551019182 19102038364 23877547955 38204076728 47755095910 52530605501 95510191820 105061211002 191020383640 210122422004 262653027505 420244844008 525306055010 1050612110020 2101224220040