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113114514000 = 2435367727847
BaseRepresentation
bin110100101011000100…
…1101000001001010000
3101210222010220200101110
41221112021220021100
53323124303422000
6123544124333320
711113040335125
oct1512611501120
9353863820343
10113114514000
1143a76215624
1219b099a4240
13a8888372b7
145690ab874c
152e2075b850
hex1a56268250

113114514000 has 160 divisors (see below), whose sum is σ = 365232980736. Its totient is φ = 30118233600.

The previous prime is 113114513917. The next prime is 113114514017. The reversal of 113114514000 is 415411311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4048077 + ... + 4075923.

Almost surely, 2113114514000 is an apocalyptic number.

113114514000 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 113114514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182616490368).

113114514000 is an abundant number, since it is smaller than the sum of its proper divisors (252118466736).

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

113114514000 is a wasteful number, since it uses less digits than its factorization.

113114514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28550 (or 28534 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 113114514000 its reverse (415411311), we get a palindrome (113529925311).

The spelling of 113114514000 in words is "one hundred thirteen billion, one hundred fourteen million, five hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 677 750 1000 1200 1354 1500 2000 2031 2708 3000 3385 4062 5416 6000 6770 8124 10155 10832 13540 16248 16925 20310 27080 27847 32496 33850 40620 50775 54160 55694 67700 81240 83541 84625 101550 111388 135400 139235 162480 167082 169250 203100 222776 253875 270800 278470 334164 338500 406200 417705 445552 507750 556940 668328 677000 696175 812400 835410 1015500 1113880 1336656 1354000 1392350 1670820 2031000 2088525 2227760 2784700 3341640 3480875 4062000 4177050 5569400 6683280 6961750 8354100 10442625 11138800 13923500 16708200 18852419 20885250 27847000 33416400 37704838 41770500 55694000 56557257 75409676 83541000 94262095 113114514 150819352 167082000 188524190 226229028 282786285 301638704 377048380 452458056 471310475 565572570 754096760 904916112 942620950 1131145140 1413931425 1508193520 1885241900 2262290280 2356552375 2827862850 3770483800 4524580560 4713104750 5655725700 7069657125 7540967600 9426209500 11311451400 14139314250 18852419000 22622902800 28278628500 37704838000 56557257000 113114514000