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11402340120 = 23325731373167
BaseRepresentation
bin10101001111010000…
…11110011100011000
31002102122111220010100
422213220132130120
5141322444340440
65123235415400
7552363202053
oct124750363430
932378456110
1011402340120
114921361996
122262754560
1310c93a8122
147a24c3a9a
1546b066230
hex2a7a1e718

11402340120 has 192 divisors, whose sum is σ = 37851390720. Its totient is φ = 2976141312.

The previous prime is 11402340083. The next prime is 11402340139. The reversal of 11402340120 is 2104320411.

11402340120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114023401202 (a number of 21 digits) contains 22 as substring.

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 = 11402340093 and 11402340102.

It is a congruent number.

It is an unprimeable number.

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, 3598777 + ... + 3601943.

It is an arithmetic number, because the mean of its divisors is an integer number (197142660).

Almost surely, 211402340120 is an apocalyptic number.

11402340120 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 11402340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18925695360).

11402340120 is an abundant number, since it is smaller than the sum of its proper divisors (26449050600).

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

11402340120 is a wasteful number, since it uses less digits than its factorization.

11402340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11402340120 its reverse (2104320411), we get a palindrome (13506660531).

The spelling of 11402340120 in words is "eleven billion, four hundred two million, three hundred forty thousand, one hundred twenty".