Search a number
-
+
1022420100 = 2235213317827
BaseRepresentation
bin111100111100001…
…110010010000100
32122020212022201010
4330330032102010
54043214420400
6245242002220
734223266422
oct7474162204
92566768633
101022420100
11485147399
122464a6370
13133a8a010
1499b06112
155eb5e450
hex3cf0e484

1022420100 has 144 divisors (see below), whose sum is σ = 3199670208. Its totient is φ = 250575360.

The previous prime is 1022420099. The next prime is 1022420107. The reversal of 1022420100 is 10242201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1022420107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1235887 + ... + 1236713.

It is an arithmetic number, because the mean of its divisors is an integer number (22219932).

Almost surely, 21022420100 is an apocalyptic number.

1022420100 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 1022420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599835104).

1022420100 is an abundant number, since it is smaller than the sum of its proper divisors (2177250108).

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

1022420100 is a wasteful number, since it uses less digits than its factorization.

1022420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1022420100 is about 31975.3045333426. The cubic root of 1022420100 is about 1007.4182008884.

Adding to 1022420100 its reverse (10242201), we get a palindrome (1032662301).

The spelling of 1022420100 in words is "one billion, twenty-two million, four hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 317 325 390 634 650 780 827 951 975 1268 1300 1585 1654 1902 1950 2481 3170 3308 3804 3900 4121 4135 4755 4962 6340 7925 8242 8270 9510 9924 10751 12363 12405 15850 16484 16540 19020 20605 20675 21502 23775 24726 24810 31700 32253 41210 41350 43004 47550 49452 49620 53755 61815 62025 64506 82420 82700 95100 103025 107510 123630 124050 129012 161265 206050 215020 247260 248100 262159 268775 309075 322530 412100 524318 537550 618150 645060 786477 806325 1048636 1075100 1236300 1310795 1572954 1612650 2621590 3145908 3225300 3408067 3932385 5243180 6553975 6816134 7864770 10224201 13107950 13632268 15729540 17040335 19661925 20448402 26215900 34080670 39323850 40896804 51121005 68161340 78647700 85201675 102242010 170403350 204484020 255605025 340806700 511210050 1022420100