Search a number
-
+
55000103202 = 232117910933217
BaseRepresentation
bin110011001110010000…
…101111100100100010
312020222001101201202100
4303032100233210202
51400120011300302
641133335031230
73654645110052
oct631620574442
9166861351670
1055000103202
1121364140650
12a7ab50b516
135256936585
14293a81b562
15166d81bd1c
hexcce42f922

55000103202 has 96 divisors (see below), whose sum is σ = 131807220480. Its totient is φ = 16435560960.

The previous prime is 55000103173. The next prime is 55000103203. The reversal of 55000103202 is 20230100055.

It is a happy number.

It is a super-2 number, since 2×550001032022 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (55000103203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17095098 + ... + 17098314.

It is an arithmetic number, because the mean of its divisors is an integer number (1372991880).

Almost surely, 255000103202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55000103202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65903610240).

55000103202 is an abundant number, since it is smaller than the sum of its proper divisors (76807117278).

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

55000103202 is a wasteful number, since it uses less digits than its factorization.

55000103202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

Adding to 55000103202 its reverse (20230100055), we get a palindrome (75230203257).

The spelling of 55000103202 in words is "fifty-five billion, one hundred three thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 158 198 237 474 711 869 1093 1422 1738 2186 2607 3217 3279 5214 6434 6558 7821 9651 9837 12023 15642 19302 19674 24046 28953 35387 36069 57906 70774 72138 86347 106161 108207 172694 212322 216414 254143 259041 318483 508286 518082 636966 762429 777123 949817 1524858 1554246 1899634 2287287 2795573 2849451 3516181 4574574 5591146 5698902 7032362 8386719 8548353 10548543 16773438 17096706 21097086 25160157 31645629 38677991 50320314 63291258 77355982 116033973 232067946 277778299 348101919 555556598 696203838 833334897 1666669794 2500004691 3055561289 5000009382 6111122578 9166683867 18333367734 27500051601 55000103202