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113240001400 = 23525338327893
BaseRepresentation
bin110100101110110100…
…0010100101101111000
3101211021220001002201221
41221131220110231320
53323403420021100
6124004410121424
711116123062451
oct1513550245570
9354256032657
10113240001400
1144030035119
1219b43a20274
13a8a8832ab6
1456a3622128
152e2b79801a
hex1a5da14b78

113240001400 has 96 divisors (see below), whose sum is σ = 268960642560. Its totient is φ = 44323735040.

The previous prime is 113240001389. The next prime is 113240001421. The reversal of 113240001400 is 4100042311.

113240001400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4045854 + ... + 4073746.

It is an arithmetic number, because the mean of its divisors is an integer number (2801673360).

Almost surely, 2113240001400 is an apocalyptic number.

113240001400 is a gapful number since it is divisible by the number (10) 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 113240001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134480321280).

113240001400 is an abundant number, since it is smaller than the sum of its proper divisors (155720641160).

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

113240001400 is a wasteful number, since it uses less digits than its factorization.

113240001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28345 (or 28336 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 113240001400 its reverse (4100042311), we get a palindrome (117340043711).

The spelling of 113240001400 in words is "one hundred thirteen billion, two hundred forty million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 383 424 530 766 1060 1325 1532 1915 2120 2650 3064 3830 5300 7660 9575 10600 15320 19150 20299 27893 38300 40598 55786 76600 81196 101495 111572 139465 162392 202990 223144 278930 405980 507475 557860 697325 811960 1014950 1115720 1394650 1478329 2029900 2789300 2956658 4059800 5578600 5913316 7391645 10683019 11826632 14783290 21366038 29566580 36958225 42732076 53415095 59133160 73916450 85464152 106830190 147832900 213660380 267075475 295665800 427320760 534150950 566200007 1068301900 1132400014 2136603800 2264800028 2831000035 4529600056 5662000070 11324000140 14155000175 22648000280 28310000350 56620000700 113240001400