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112523121240 = 23358291131113
BaseRepresentation
bin110100011001011100…
…1101001001001011000
3101202102221002211000220
41220302321221021120
53320421404334430
6123405321000040
711062266515025
oct1506271511130
9352387084026
10112523121240
11437a2406482
1219983923020
13a7c316335a
14563633254c
152dd888e110
hex1a32e69258

112523121240 has 64 divisors (see below), whose sum is σ = 337976863200. Its totient is φ = 29969943552.

The previous prime is 112523121197. The next prime is 112523121281. The reversal of 112523121240 is 42121325211.

It is a happy number.

It is a super-2 number, since 2×1125231212402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112523121240.

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 15 ways as a sum of consecutive naturals, for example, 466077 + ... + 665036.

Almost surely, 2112523121240 is an apocalyptic number.

112523121240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112523121240 is an abundant number, since it is smaller than the sum of its proper divisors (225453741960).

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

112523121240 is a wasteful number, since it uses less digits than its factorization.

112523121240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131956 (or 1131952 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 112523121240 its reverse (42121325211), we get a palindrome (154644446451).

The spelling of 112523121240 in words is "one hundred twelve billion, five hundred twenty-three million, one hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 829 1658 2487 3316 4145 4974 6632 8290 9948 12435 16580 19896 24870 33160 49740 99480 1131113 2262226 3393339 4524452 5655565 6786678 9048904 11311130 13573356 16966695 22622260 27146712 33933390 45244520 67866780 135733560 937692677 1875385354 2813078031 3750770708 4688463385 5626156062 7501541416 9376926770 11252312124 14065390155 18753853540 22504624248 28130780310 37507707080 56261560620 112523121240