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12320441400 = 2335220534069
BaseRepresentation
bin10110111100101101…
…10000010000111000
31011210122002021022110
423132112300100320
5200213013111100
65354313452320
7614212011141
oct133626602070
934718067273
1012320441400
115252627a83
12247a1110a0
13121466b917
1484c3d2ac8
154c196b250
hex2de5b0438

12320441400 has 48 divisors (see below), whose sum is σ = 38193370200. Its totient is φ = 3285450880.

The previous prime is 12320441381. The next prime is 12320441437. The reversal of 12320441400 is 414402321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10266435 + ... + 10267634.

Almost surely, 212320441400 is an apocalyptic number.

12320441400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320441400 is an abundant number, since it is smaller than the sum of its proper divisors (25872928800).

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

12320441400 is a wasteful number, since it uses less digits than its factorization.

12320441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20534088 (or 20534079 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12320441400 its reverse (414402321), we get a palindrome (12734843721).

The spelling of 12320441400 in words is "twelve billion, three hundred twenty million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 20534069 41068138 61602207 82136276 102670345 123204414 164272552 205340690 246408828 308011035 410681380 492817656 513351725 616022070 821362760 1026703450 1232044140 1540055175 2053406900 2464088280 3080110350 4106813800 6160220700 12320441400