Search a number
-
+
1220321130 = 235741271523
BaseRepresentation
bin100100010111100…
…1001111101101010
310011001020201212220
41020233021331222
54444400234010
6321031414510
742145362360
oct11057117552
93131221786
101220321130
11576926366
122a0824436
13165a8ab12
14b80dd630
1572201970
hex48bc9f6a

1220321130 has 128 divisors (see below), whose sum is σ = 3448037376. Its totient is φ = 270604800.

The previous prime is 1220321101. The next prime is 1220321177. The reversal of 1220321130 is 311230221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2333049 + ... + 2333571.

It is an arithmetic number, because the mean of its divisors is an integer number (26937792).

Almost surely, 21220321130 is an apocalyptic number.

1220321130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220321130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724018688).

1220321130 is an abundant number, since it is smaller than the sum of its proper divisors (2227716246).

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

1220321130 is a wasteful number, since it uses less digits than its factorization.

1220321130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1220321130 is about 34933.0950532586. The cubic root of 1220321130 is about 1068.6234751898.

Adding to 1220321130 its reverse (311230221), we get a palindrome (1531551351).

Subtracting from 1220321130 its reverse (311230221), we obtain a palindrome (909090909).

It can be divided in two parts, 12203 and 21130, that added together give a palindrome (33333).

The spelling of 1220321130 in words is "one billion, two hundred twenty million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 271 287 410 523 542 574 615 813 861 1046 1230 1355 1435 1569 1626 1722 1897 2615 2710 2870 3138 3661 3794 4065 4305 5230 5691 7322 7845 8130 8610 9485 10983 11111 11382 15690 18305 18970 21443 21966 22222 28455 33333 36610 42886 54915 55555 56910 64329 66666 77777 107215 109830 111110 128658 141733 150101 155554 166665 214430 233331 283466 300202 321645 333330 388885 425199 450303 466662 643290 708665 750505 777770 850398 900606 992131 1166655 1417330 1501010 1984262 2125995 2251515 2333310 2976393 4251990 4503030 4960655 5811053 5952786 9921310 11622106 14881965 17433159 29055265 29763930 34866318 40677371 58110530 81354742 87165795 122032113 174331590 203386855 244064226 406773710 610160565 1220321130