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12320011400 = 2352611009837
BaseRepresentation
bin10110111100101010…
…00111010010001000
31011210121021102110112
423132111013102020
5200212410331100
65354300333452
7614205240404
oct133625072210
934717242415
1012320011400
115252363a04
122479b44288
13121454ac98
1484c320104
154c18d3b35
hex2de547488

12320011400 has 48 divisors (see below), whose sum is σ = 29113629540. Its totient is φ = 4847212800.

The previous prime is 12320011393. The next prime is 12320011409. The reversal of 12320011400 is 411002321.

It can be written as a sum of positive squares in 6 ways, for example, as 1781346436 + 10538664964 = 42206^2 + 102658^2 .

It is a super-2 number, since 2×123200114002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12320011409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 492719 + ... + 517118.

Almost surely, 212320011400 is an apocalyptic number.

12320011400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320011400 is an abundant number, since it is smaller than the sum of its proper divisors (16793618140).

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

12320011400 is a wasteful number, since it uses less digits than its factorization.

12320011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009914 (or 1009905 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12320011400 its reverse (411002321), we get a palindrome (12731013721).

The spelling of 12320011400 in words is "twelve billion, three hundred twenty million, eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 1009837 2019674 4039348 5049185 8078696 10098370 20196740 25245925 40393480 50491850 61600057 100983700 123200114 201967400 246400228 308000285 492800456 616000570 1232001140 1540001425 2464002280 3080002850 6160005700 12320011400