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12313303320400 = 2452149268377003
BaseRepresentation
bin1011001100101110101000…
…0100100000011101010000
31121121010210021112211100221
42303023222010200131100
53103220121122223100
642104353051322424
72410415064211465
oct263135204403520
947533707484327
1012313303320400
113a18051798675
12146a498450414
136b41a76b13c4
14307d7788566c
1516546d49901a
hexb32ea120750

12313303320400 has 120 divisors (see below), whose sum is σ = 29792739794400. Its totient is φ = 4890378539520.

The previous prime is 12313303320377. The next prime is 12313303320407. The reversal of 12313303320400 is 402330331321.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313303320407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159868299 + ... + 159945301.

It is an arithmetic number, because the mean of its divisors is an integer number (248272831620).

Almost surely, 212313303320400 is an apocalyptic number.

12313303320400 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 12313303320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14896369897200).

12313303320400 is an abundant number, since it is smaller than the sum of its proper divisors (17479436474000).

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

12313303320400 is a wasteful number, since it uses less digits than its factorization.

12313303320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79853 (or 79842 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 12313303320400 its reverse (402330331321), we get a palindrome (12715633651721).

The spelling of 12313303320400 in words is "twelve trillion, three hundred thirteen billion, three hundred three million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 149 200 298 400 596 745 1192 1490 2384 2683 2980 3725 5366 5960 7450 10732 11920 13415 14900 21464 26830 29800 42928 53660 59600 67075 77003 107320 134150 154006 214640 268300 308012 385015 399767 536600 616024 770030 799534 1073200 1232048 1540060 1599068 1925075 1998835 3080120 3198136 3850150 3997670 6160240 6396272 7700300 7995340 9994175 11473447 15400600 15990680 19988350 22946894 30801200 31981360 39976700 45893788 57367235 79953400 91787576 114734470 159906800 183575152 206599049 229468940 286836175 413198098 458937880 573672350 826396196 917875760 1032995245 1147344700 1652792392 2065990490 2294689400 3305584784 4131980980 4589378800 5164976225 8263961960 10329952450 16527923920 20659904900 30783258301 41319809800 61566516602 82639619600 123133033204 153916291505 246266066408 307832583010 492532132816 615665166020 769581457525 1231330332040 1539162915050 2462660664080 3078325830100 6156651660200 12313303320400