Search a number
-
+
103051110006 = 2351343379319
BaseRepresentation
bin101111111111001010…
…0110010011001110110
3100211222210211210100000
41133332110302121312
53142022041010011
6115201354532130
710305462660645
oct1377624623166
9324883753300
10103051110006
113a781735219
1217b7b737046
13994397a690
144db836d35c
152a32027356
hex17fe532676

103051110006 has 96 divisors (see below), whose sum is σ = 255157943040. Its totient is φ = 30970556064.

The previous prime is 103051109981. The next prime is 103051110011. The reversal of 103051110006 is 600011150301.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82015 + ... + 461333.

It is an arithmetic number, because the mean of its divisors is an integer number (2657895240).

Almost surely, 2103051110006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103051110006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127578971520).

103051110006 is an abundant number, since it is smaller than the sum of its proper divisors (152106833034).

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

103051110006 is a wasteful number, since it uses less digits than its factorization.

103051110006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379392 (or 379380 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 103051110006 its reverse (600011150301), we get a palindrome (703062260307).

The spelling of 103051110006 in words is "one hundred three billion, fifty-one million, one hundred ten thousand, six".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 81 86 117 129 162 234 243 258 351 387 486 559 702 774 1053 1118 1161 1677 2106 2322 3159 3354 3483 5031 6318 6966 10062 10449 15093 20898 30186 45279 90558 135837 271674 379319 758638 1137957 2275914 3413871 4931147 6827742 9862294 10241613 14793441 16310717 20483226 29586882 30724839 32621434 44380323 48932151 61449678 88760646 92174517 97864302 133140969 146796453 184349034 212039321 266281938 293592906 399422907 424078642 440389359 636117963 798845814 880778718 1198268721 1272235926 1321168077 1908353889 2396537442 2642336154 3816707778 3963504231 5725061667 7927008462 11450123334 17175185001 34350370002 51525555003 103051110006