Search a number
-
+
11101232130 = 23553131223239
BaseRepresentation
bin10100101011010111…
…10101110000000010
31001122122221000121120
422111223311300002
5140213403412010
65033321533110
7542045626152
oct122553656002
931578830546
1011101232130
1147873a100a
122199944196
13107bbacc11
14774502762
1544e8d8e70
hex295af5c02

11101232130 has 128 divisors (see below), whose sum is σ = 27590492160. Its totient is φ = 2857370880.

The previous prime is 11101232123. The next prime is 11101232167. The reversal of 11101232130 is 3123210111.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46448551 + ... + 46448789.

It is an arithmetic number, because the mean of its divisors is an integer number (215550720).

Almost surely, 211101232130 is an apocalyptic number.

11101232130 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 11101232130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13795246080).

11101232130 is an abundant number, since it is smaller than the sum of its proper divisors (16489260030).

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

11101232130 is a wasteful number, since it uses less digits than its factorization.

11101232130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11101232130 its reverse (3123210111), we get a palindrome (14224442241).

The spelling of 11101232130 in words is "eleven billion, one hundred one million, two hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 131 159 223 239 262 265 318 393 446 478 530 655 669 717 786 795 1115 1195 1310 1338 1434 1590 1965 2230 2390 3345 3585 3930 6690 6943 7170 11819 12667 13886 20829 23638 25334 29213 31309 34715 35457 38001 41658 53297 58426 59095 62618 63335 69430 70914 76002 87639 93927 104145 106594 118190 126670 146065 156545 159891 175278 177285 187854 190005 208290 266485 292130 313090 319782 354570 380010 438195 469635 532970 799455 876390 939270 1548289 1598910 1659377 2824741 3096578 3318754 4644867 4978131 5649482 6981907 7741445 8296885 8474223 9289734 9956262 13963814 14123705 15482890 16593770 16948446 20945721 23224335 24890655 28247410 34909535 41891442 42371115 46448670 49781310 69819070 84742230 104728605 209457210 370041071 740082142 1110123213 1850205355 2220246426 3700410710 5550616065 11101232130