Search a number
-
+
11402241102 = 2337212733931
BaseRepresentation
bin10101001111010000…
…00110010001001110
31002102122022212022000
422213220012101032
5141322433203402
65123233333130
7552362310300
oct124750062116
932378285260
1011402241102
1149212a455a
1222627071a6
1310c9372035
147a2499970
1546b046c1c
hex2a7a0644e

11402241102 has 96 divisors (see below), whose sum is σ = 29708144640. Its totient is φ = 3232036080.

The previous prime is 11402241091. The next prime is 11402241119. The reversal of 11402241102 is 20114220411.

11402241102 is a `hidden beast` number, since 11 + 402 + 241 + 10 + 2 = 666.

It is a super-2 number, since 2×114022411022 (a number of 21 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319077 + ... + 353007.

It is an arithmetic number, because the mean of its divisors is an integer number (309459840).

Almost surely, 211402241102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11402241102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14854072320).

11402241102 is an abundant number, since it is smaller than the sum of its proper divisors (18305903538).

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

11402241102 is a wasteful number, since it uses less digits than its factorization.

11402241102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34083 (or 34070 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11402241102 its reverse (20114220411), we get a palindrome (31516461513).

The spelling of 11402241102 in words is "eleven billion, four hundred two million, two hundred forty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 127 147 189 254 294 378 381 441 762 882 889 1143 1323 1778 2286 2646 2667 3429 5334 6223 6858 8001 12446 16002 18669 24003 33931 37338 48006 56007 67862 101793 112014 168021 203586 237517 305379 336042 475034 610758 712551 916137 1425102 1662619 1832274 2137653 3325238 4275306 4309237 4987857 6412959 8618474 9975714 12825918 12927711 14963571 25855422 29927142 30164659 38783133 44890713 60329318 77566266 89781426 90493977 116349399 180987954 211152613 232698798 271481931 422305226 542963862 633457839 814445793 1266915678 1628891586 1900373517 3800747034 5701120551 11402241102