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1020100002220 = 225135696895363
BaseRepresentation
bin11101101100000101011…
…00101100000110101100
310121112001112010022222201
432312002230230012230
5113203131100032340
62100343311151244
7133462012644415
oct16660254540654
93545045108881
101020100002220
11363692948082
12145851515524
137526c5b7c90
1437531b2080c
151b80618779a
hexed82b2c1ac

1020100002220 has 48 divisors (see below), whose sum is σ = 2311050198240. Its totient is φ = 375990299136.

The previous prime is 1020100002217. The next prime is 1020100002221. The reversal of 1020100002220 is 222000010201.

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 = 1020100002197 and 1020100002206.

It is not an unprimeable number, because it can be changed into a prime (1020100002221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3299742 + ... + 3595621.

It is an arithmetic number, because the mean of its divisors is an integer number (48146879130).

Almost surely, 21020100002220 is an apocalyptic number.

1020100002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020100002220 is an abundant number, since it is smaller than the sum of its proper divisors (1290950196020).

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

1020100002220 is a wasteful number, since it uses less digits than its factorization.

1020100002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6895954 (or 6895952 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1020100002220 its reverse (222000010201), we get a palindrome (1242100012421).

The spelling of 1020100002220 in words is "one trillion, twenty billion, one hundred million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 569 1138 2276 2845 5690 7397 11380 14794 29588 36985 73970 147940 6895363 13790726 27581452 34476815 68953630 89639719 137907260 179279438 358558876 448198595 896397190 1792794380 3923461547 7846923094 15693846188 19617307735 39234615470 51005000111 78469230940 102010000222 204020000444 255025000555 510050001110 1020100002220