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11402320340 = 22529371932753
BaseRepresentation
bin10101001111010000…
…11001100111010100
31002102122110212222202
422213220121213110
5141322443222330
65123235144032
7552363060305
oct124750314724
932378425882
1011402320340
114921349044
122262745018
1310c939c118
147a24ba7ac
1546b060445
hex2a7a199d4

11402320340 has 96 divisors (see below), whose sum is σ = 25581134880. Its totient is φ = 4260888576.

The previous prime is 11402320339. The next prime is 11402320343. The reversal of 11402320340 is 4302320411.

11402320340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 114532804 + 11287787536 = 10702^2 + 106244^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11402320343) 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 31 ways as a sum of consecutive naturals, for example, 4140404 + ... + 4143156.

It is an arithmetic number, because the mean of its divisors is an integer number (266470155).

Almost surely, 211402320340 is an apocalyptic number.

11402320340 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 11402320340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12790567440).

11402320340 is an abundant number, since it is smaller than the sum of its proper divisors (14178814540).

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

11402320340 is a wasteful number, since it uses less digits than its factorization.

11402320340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3021 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11402320340 its reverse (4302320411), we get a palindrome (15704640751).

The spelling of 11402320340 in words is "eleven billion, four hundred two million, three hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 193 290 370 386 580 740 772 965 1073 1930 2146 2753 3860 4292 5365 5506 5597 7141 10730 11012 11194 13765 14282 21460 22388 27530 27985 28564 35705 55060 55970 71410 79837 101861 111940 142820 159674 203722 207089 319348 399185 407444 414178 509305 531329 798370 828356 1018610 1035445 1062658 1596740 2037220 2070890 2125316 2656645 2953969 4141780 5313290 5907938 10626580 11815876 14769845 15408541 19659173 29539690 30817082 39318346 59079380 61634164 77042705 78636692 98295865 154085410 196591730 308170820 393183460 570116017 1140232034 2280464068 2850580085 5701160170 11402320340