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1021101220 = 225434092903
BaseRepresentation
bin111100110111001…
…100010010100100
32122011101022112201
4330313030102210
54042400214340
6245153424244
734206134326
oct7467142244
92564338481
101021101220
11484426507
12245b6b084
13133717909
1499881616
155e99d79a
hex3cdcc4a4

1021101220 has 48 divisors (see below), whose sum is σ = 2200302720. Its totient is φ = 397829376.

The previous prime is 1021101217. The next prime is 1021101227. The reversal of 1021101220 is 221011201.

1021101220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1021101197 and 1021101206.

It is not an unprimeable number, because it can be changed into a prime (1021101227) 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, 350289 + ... + 353191.

It is an arithmetic number, because the mean of its divisors is an integer number (45839640).

Almost surely, 21021101220 is an apocalyptic number.

1021101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100151360).

1021101220 is an abundant number, since it is smaller than the sum of its proper divisors (1179201500).

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

1021101220 is a wasteful number, since it uses less digits than its factorization.

1021101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3362 counting only the distinct ones).

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

The square root of 1021101220 is about 31954.6744624319. The cubic root of 1021101220 is about 1006.9848384399.

Adding to 1021101220 its reverse (221011201), we get a palindrome (1242112421).

The spelling of 1021101220 in words is "one billion, twenty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 409 430 818 860 1636 2045 2903 4090 5806 8180 11612 14515 17587 29030 35174 58060 70348 87935 124829 175870 249658 351740 499316 624145 1187327 1248290 2374654 2496580 4749308 5936635 11873270 23746540 51055061 102110122 204220244 255275305 510550610 1021101220