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11323041400 = 23521131166027
BaseRepresentation
bin10101000101110011…
…11110011001111000
31002020010022002201201
422202321332121320
5141142144311100
65111324023544
7550411156336
oct124271763170
932203262651
1011323041400
11489061a660
122240091bb4
1310b5b31cc8
14795b60b56
1546410036a
hex2a2e7e678

11323041400 has 96 divisors (see below), whose sum is σ = 29645959680. Its totient is φ = 3984624000.

The previous prime is 11323041391. The next prime is 11323041409. The reversal of 11323041400 is 414032311.

It is an interprime number because it is at equal distance from previous prime (11323041391) and next prime (11323041409).

It is a super-2 number, since 2×113230414002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323041409) by changing a digit.

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, 14814 + ... + 151213.

It is an arithmetic number, because the mean of its divisors is an integer number (308812080).

Almost surely, 211323041400 is an apocalyptic number.

11323041400 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 11323041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14822979840).

11323041400 is an abundant number, since it is smaller than the sum of its proper divisors (18322918280).

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

11323041400 is a wasteful number, since it uses less digits than its factorization.

11323041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166085 (or 166076 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 11323041400 its reverse (414032311), we get a palindrome (11737073711).

The spelling of 11323041400 in words is "eleven billion, three hundred twenty-three million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 155 200 220 248 275 310 341 440 550 620 682 775 1100 1240 1364 1550 1705 2200 2728 3100 3410 6200 6820 8525 13640 17050 34100 68200 166027 332054 664108 830135 1328216 1660270 1826297 3320540 3652594 4150675 5146837 6641080 7305188 8301350 9131485 10293674 14610376 16602700 18262970 20587348 25734185 33205400 36525940 41174696 45657425 51468370 56615207 73051880 91314850 102936740 113230414 128670925 182629700 205873480 226460828 257341850 283076035 365259400 452921656 514683700 566152070 1029367400 1132304140 1415380175 2264608280 2830760350 5661520700 11323041400