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112403542400 = 275249970393
BaseRepresentation
bin110100010101111000…
…1011111000110000000
3101202010121002120200222
41220223301133012000
53320200301324100
6123345410002212
711056315226462
oct1505361370600
9352117076628
10112403542400
1143740962096
121994b876368
13a7a4456046
1456244c6132
152dcd11d485
hex1a2bc5f180

112403542400 has 96 divisors (see below), whose sum is σ = 278232285000. Its totient is φ = 44870676480.

The previous prime is 112403542283. The next prime is 112403542441. The reversal of 112403542400 is 4245304211.

It is a self number, because there is not a number n which added to its sum of digits gives 112403542400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1561604 + ... + 1631996.

Almost surely, 2112403542400 is an apocalyptic number.

112403542400 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 112403542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139116142500).

112403542400 is an abundant number, since it is smaller than the sum of its proper divisors (165828742600).

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

112403542400 is an equidigital number, since it uses as much as digits as its factorization.

112403542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70916 (or 70899 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 112403542400 its reverse (4245304211), we get a palindrome (116648846611).

The spelling of 112403542400 in words is "one hundred twelve billion, four hundred three million, five hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 499 640 800 998 1600 1996 2495 3200 3992 4990 7984 9980 12475 15968 19960 24950 31936 39920 49900 63872 70393 79840 99800 140786 159680 199600 281572 319360 351965 399200 563144 703930 798400 1126288 1407860 1596800 1759825 2252576 2815720 3519650 4505152 5631440 7039300 9010304 11262880 14078600 22525760 28157200 35126107 45051520 56314400 70252214 112628800 140504428 175630535 225257600 281008856 351261070 562017712 702522140 878152675 1124035424 1405044280 1756305350 2248070848 2810088560 3512610700 4496141696 5620177120 7025221400 11240354240 14050442800 22480708480 28100885600 56201771200 112403542400