Search a number
-
+
1130321220102 = 2322331337326111
BaseRepresentation
bin10000011100101100011…
…001010001001000000110
311000001120000210100020200
4100130230121101020012
5122004344213020402
62223132402311330
7144443261563104
oct20345431211006
94001500710220
101130321220102
113a6403952488
12163092358546
138278688aa29
143c9ca44ac74
151e6078cb21c
hex1072c651206

1130321220102 has 96 divisors (see below), whose sum is σ = 2638827749376. Its totient is φ = 348649963200.

The previous prime is 1130321220073. The next prime is 1130321220107. The reversal of 1130321220102 is 2010221230311.

1130321220102 is a `hidden beast` number, since 113 + 0 + 321 + 220 + 10 + 2 = 666.

It is a super-2 number, since 2×11303212201022 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130321220107) 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, 43276027 + ... + 43302137.

It is an arithmetic number, because the mean of its divisors is an integer number (27487789056).

Almost surely, 21130321220102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130321220102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319413874688).

1130321220102 is an abundant number, since it is smaller than the sum of its proper divisors (1508506529274).

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

1130321220102 is a wasteful number, since it uses less digits than its factorization.

1130321220102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29546 (or 29543 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1130321220102 its reverse (2010221230311), we get a palindrome (3140542450413).

The spelling of 1130321220102 in words is "one trillion, one hundred thirty billion, three hundred twenty-one million, two hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 186 207 279 414 558 713 1426 2139 3373 4278 6417 6746 10119 12834 20238 26111 30357 52222 60714 77579 78333 104563 155158 156666 209126 232737 234999 313689 465474 469998 600553 627378 698211 809441 941067 1201106 1396422 1618882 1801659 1882134 2404949 2428323 3603318 4809898 4856646 5404977 7214847 7284969 10809954 14429694 14569938 18617143 21644541 37234286 43289082 55851429 88072403 111702858 167554287 176144806 264217209 335108574 528434418 792651627 1585303254 2025665269 2730244493 4051330538 5460488986 6076995807 8190733479 12153991614 16381466958 18230987421 24572200437 36461974842 49144400874 62795623339 125591246678 188386870017 376773740034 565160610051 1130321220102