Search a number
-
+
1022210100 = 2232523730697
BaseRepresentation
bin111100111011011…
…011000000110100
32122020110122122100
4330323123000310
54043141210400
6245233302100
734221433242
oct7473330064
92566418570
101022210100
1148501363a
12246404930
13133a15562
1499a8d792
155eb1c100
hex3cedb034

1022210100 has 108 divisors (see below), whose sum is σ = 3290764204. Its totient is φ = 265213440.

The previous prime is 1022210093. The next prime is 1022210107. The reversal of 1022210100 is 10122201.

It is an interprime number because it is at equal distance from previous prime (1022210093) and next prime (1022210107).

It can be written as a sum of positive squares in 6 ways, for example, as 25040016 + 997170084 = 5004^2 + 31578^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022210107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17952 + ... + 48648.

Almost surely, 21022210100 is an apocalyptic number.

1022210100 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 1022210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645382102).

1022210100 is an abundant number, since it is smaller than the sum of its proper divisors (2268554104).

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

1022210100 is a wasteful number, since it uses less digits than its factorization.

1022210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30754 (or 30744 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1022210100 is about 31972.0205805013. The cubic root of 1022210100 is about 1007.3492232708.

Adding to 1022210100 its reverse (10122201), we get a palindrome (1032332301).

The spelling of 1022210100 in words is "one billion, twenty-two million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 30697 33300 61394 92091 122788 153485 184182 276273 306970 368364 460455 552546 613940 767425 920910 1105092 1135789 1381365 1534850 1841820 2271578 2302275 2762730 3069700 3407367 4543156 4604550 5525460 5678945 6814734 6906825 9209100 10222101 11357890 13629468 13813650 17036835 20444202 22715780 27627300 28394725 34073670 40888404 51110505 56789450 68147340 85184175 102221010 113578900 170368350 204442020 255552525 340736700 511105050 1022210100