Search a number
-
+
113310202122 = 232132273536043
BaseRepresentation
bin110100110000111010…
…0000111100100001010
3101211110210010200000200
41221201310013210022
53324024402431442
6124015354513030
711120634553335
oct1514164074412
9354423120020
10113310202122
1144066722a47
1219b63435776
13a8ba241aa0
1456aca9761c
152e32a1334c
hex1a61d0790a

113310202122 has 96 divisors (see below), whose sum is σ = 266351537088. Its totient is φ = 34607029248.

The previous prime is 113310202081. The next prime is 113310202133. The reversal of 113310202122 is 221202013311.

113310202122 is a `hidden beast` number, since 11 + 331 + 0 + 202 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 113310202095 and 113310202104.

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, 18747633 + ... + 18753675.

It is an arithmetic number, because the mean of its divisors is an integer number (2774495178).

Almost surely, 2113310202122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113310202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133175768544).

113310202122 is an abundant number, since it is smaller than the sum of its proper divisors (153041334966).

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

113310202122 is a wasteful number, since it uses less digits than its factorization.

113310202122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6644 (or 6641 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113310202122 its reverse (221202013311), we get a palindrome (334512215433).

The spelling of 113310202122 in words is "one hundred thirteen billion, three hundred ten million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 227 234 353 454 681 706 1059 1362 2043 2118 2951 3177 4086 4589 5902 6043 6354 8853 9178 12086 13767 17706 18129 26559 27534 36258 41301 53118 54387 78559 80131 82602 108774 157118 160262 235677 240393 471354 480786 707031 721179 1041703 1371761 1414062 1442358 2083406 2133179 2743522 3125109 4115283 4266358 6250218 6399537 8230566 9375327 12345849 12799074 17832893 18750654 19198611 24691698 27731327 35665786 38397222 53498679 55462654 83193981 106997358 160496037 166387962 249581943 320992074 484231633 499163886 968463266 1452694899 2905389798 4358084697 6295011229 8716169394 12590022458 18885033687 37770067374 56655101061 113310202122