Search a number
-
+
1101331301312 = 26114094618297
BaseRepresentation
bin10000000001101100011…
…101100000001111000000
310220021201200010212210202
4100001230131200033000
5121021011303120222
62201540011544332
7142366005413324
oct20015435401700
93807650125722
101101331301312
11395087898410
1215954175b0a8
137cb16852628
143b43a215984
151d9ac7c5892
hex1006c7603c0

1101331301312 has 112 divisors (see below), whose sum is σ = 2395434111840. Its totient is φ = 498237849600.

The previous prime is 1101331301311. The next prime is 1101331301353. The reversal of 1101331301312 is 2131031331011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101331301311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132734348 + ... + 132742644.

It is an arithmetic number, because the mean of its divisors is an integer number (21387804570).

Almost surely, 21101331301312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101331301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197717055920).

1101331301312 is an abundant number, since it is smaller than the sum of its proper divisors (1294102810528).

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

1101331301312 is a wasteful number, since it uses less digits than its factorization.

1101331301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9190 (or 9180 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1101331301312 its reverse (2131031331011), we get a palindrome (3232362632323).

The spelling of 1101331301312 in words is "one trillion, one hundred one billion, three hundred thirty-one million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 409 461 704 818 922 1636 1844 3272 3688 4499 5071 6544 7376 8297 8998 10142 13088 14752 16594 17996 20284 26176 29504 33188 35992 40568 66376 71984 81136 91267 132752 143968 162272 182534 188549 265504 287936 324544 365068 377098 531008 730136 754196 1460272 1508392 2074039 2920544 3016784 3393473 3824917 4148078 5841088 6033568 6786946 7649834 8296156 12067136 13573892 15299668 16592312 27147784 30599336 33184624 37328203 42074087 54295568 61198672 66369248 74656406 84148174 108591136 122397344 132738496 149312812 168296348 217182272 244794688 298625624 336592696 597251248 673185392 1194502496 1346370784 1564391053 2389004992 2692741568 3128782106 6257564212 12515128424 17208301583 25030256848 34416603166 50060513696 68833206332 100121027392 137666412664 275332825328 550665650656 1101331301312