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112300000351760 = 24513976131106213
BaseRepresentation
bin11001100010001011100001…
…101000010001011000010000
3112201121202221002222112100102
4121202023201220101120100
5104204410400042224020
61034501524041311532
732440256461113644
oct3142134150213020
9481552832875312
10112300000351760
11328671875a8591
12107185aaa955a8
134a87ac9758570
141da34c59c4c24
15ceb2a9e1d475
hex6622e1a11610

112300000351760 has 80 divisors (see below), whose sum is σ = 281185058723184. Its totient is φ = 41464153245696.

The previous prime is 112300000351741. The next prime is 112300000351769. The reversal of 112300000351760 is 67153000003211.

It can be written as a sum of positive squares in 8 ways, for example, as 4260773018896 + 108039227332864 = 2064164^2 + 10394192^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1123000003517602 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112300000351769) by changing a digit.

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, 100964414 + ... + 102070626.

Almost surely, 2112300000351760 is an apocalyptic number.

112300000351760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112300000351760 is an abundant number, since it is smaller than the sum of its proper divisors (168885058371424).

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

112300000351760 is a wasteful number, since it uses less digits than its factorization.

112300000351760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203852 (or 1203846 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

Adding to 112300000351760 its reverse (67153000003211), we get a palindrome (179453000354971).

The spelling of 112300000351760 in words is "one hundred twelve trillion, three hundred billion, three hundred fifty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 97613 195226 390452 488065 780904 976130 1106213 1268969 1561808 1952260 2212426 2537938 3904520 4424852 5075876 5531065 6344845 7809040 8849704 10151752 11062130 12689690 14380769 17699408 20303504 22124260 25379380 28761538 44248520 50758760 57523076 71903845 88497040 101517520 115046152 143807690 230092304 287615380 575230760 1150461520 107980769569 215961539138 431923078276 539903847845 863846156552 1079807695690 1403750004397 1727692313104 2159615391380 2807500008794 4319230782760 5615000017588 7018750021985 8638461565520 11230000035176 14037500043970 22460000070352 28075000087940 56150000175880 112300000351760