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113003397468 = 223213443545057
BaseRepresentation
bin110100100111110000…
…1110000000101011100
3101210200101211101011100
41221033201300011130
53322412332204333
6123525114553100
711110221013203
oct1511741600534
9353611741140
10113003397468
1143a19521085
1219a98738790
13a86b800980
14568003223a
152e15b0d213
hex1a4f87015c

113003397468 has 72 divisors (see below), whose sum is σ = 308315328048. Its totient is φ = 34691724288.

The previous prime is 113003397461. The next prime is 113003397469. The reversal of 113003397468 is 864793300311.

113003397468 is a `hidden beast` number, since 1 + 1 + 300 + 339 + 7 + 4 + 6 + 8 = 666.

It is a super-2 number, since 2×1130033974682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113003397461) 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 23 ways as a sum of consecutive naturals, for example, 65205 + ... + 479852.

It is an arithmetic number, because the mean of its divisors is an integer number (4282157334).

Almost surely, 2113003397468 is an apocalyptic number.

113003397468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113003397468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154157664024).

113003397468 is an abundant number, since it is smaller than the sum of its proper divisors (195311930580).

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

113003397468 is a wasteful number, since it uses less digits than its factorization.

113003397468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545523 (or 545518 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

Adding to 113003397468 its reverse (864793300311), we get a palindrome (977796697779).

The spelling of 113003397468 in words is "one hundred thirteen billion, three million, three hundred ninety-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 443 468 886 1329 1772 2658 3987 5316 5759 7974 11518 15948 17277 23036 34554 51831 69108 103662 207324 545057 1090114 1635171 2180228 3270342 4905513 6540684 7085741 9811026 14171482 19622052 21257223 28342964 42514446 63771669 85028892 127543338 241460251 255086676 482920502 724380753 965841004 1448761506 2173142259 2897523012 3138983263 4346284518 6277966526 8692569036 9416949789 12555933052 18833899578 28250849367 37667799156 56501698734 113003397468