Search a number
-
+
1121110404102 = 232136779905171
BaseRepresentation
bin10000010100000111011…
…000110010110000000110
310222011210010000102001100
4100110013120302300012
5121332013230412402
62215010410440530
7143666106126123
oct20240730626006
93864703012040
101121110404102
113a2507661057
12161341733146
1381949537350
143c39503974a
151e268e5a71c
hex10507632c06

1121110404102 has 96 divisors (see below), whose sum is σ = 2688578081280. Its totient is φ = 335506691520.

The previous prime is 1121110404083. The next prime is 1121110404103. The reversal of 1121110404102 is 2014040111211.

1121110404102 is a `hidden beast` number, since 1 + 1 + 211 + 1 + 0 + 40 + 410 + 2 = 666.

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 (1121110404103) 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, 785977 + ... + 1691147.

It is an arithmetic number, because the mean of its divisors is an integer number (28006021680).

Almost surely, 21121110404102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121110404102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344289040640).

1121110404102 is an abundant number, since it is smaller than the sum of its proper divisors (1567467677178).

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

1121110404102 is a wasteful number, since it uses less digits than its factorization.

1121110404102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905338 (or 905335 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1121110404102 its reverse (2014040111211), we get a palindrome (3135150515313).

The spelling of 1121110404102 in words is "one trillion, one hundred twenty-one billion, one hundred ten million, four hundred four thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 67 78 79 117 134 158 201 234 237 402 474 603 711 871 1027 1206 1422 1742 2054 2613 3081 5226 5293 6162 7839 9243 10586 15678 15879 18486 31758 47637 68809 95274 137618 206427 412854 619281 905171 1238562 1810342 2715513 5431026 8146539 11767223 16293078 23534446 35301669 60646457 70603338 71508509 105905007 121292914 143017018 181939371 211810014 214525527 363878742 429051054 545818113 643576581 788403941 929610617 1091636226 1287153162 1576807882 1859221234 2365211823 2788831851 4730423646 4791070103 5577663702 7095635469 8366495553 9582140206 14191270938 14373210309 16732991106 28746420618 43119630927 62283911339 86239261854 124567822678 186851734017 373703468034 560555202051 1121110404102