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114240130200 = 23325279066677
BaseRepresentation
bin110101001100100111…
…1100000110010011000
3101220212120221220112100
41222121033200302120
53332430433131300
6124251534243400
711152656041040
oct1523117406230
9356776856470
10114240130200
11444a3636749
121a182956560
13aa07ab67a1
14575a3a4720
152e894a2700
hex1a993e0c98

114240130200 has 144 divisors (see below), whose sum is σ = 438464548080. Its totient is φ = 26112026880.

The previous prime is 114240130153. The next prime is 114240130217. The reversal of 114240130200 is 2031042411.

114240130200 is a `hidden beast` number, since 11 + 424 + 0 + 1 + 30 + 200 = 666.

It is a super-2 number, since 2×1142401302002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 4520739 + ... + 4545938.

It is an arithmetic number, because the mean of its divisors is an integer number (3044892695).

Almost surely, 2114240130200 is an apocalyptic number.

114240130200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114240130200 is an abundant number, since it is smaller than the sum of its proper divisors (324224417880).

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

114240130200 is a wasteful number, since it uses less digits than its factorization.

114240130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9066706 (or 9066694 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 114240130200 its reverse (2031042411), we get a palindrome (116271172611).

The spelling of 114240130200 in words is "one hundred fourteen billion, two hundred forty million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 9066677 18133354 27200031 36266708 45333385 54400062 63466739 72533416 81600093 90666770 108800124 126933478 136000155 163200186 181333540 190400217 217600248 226666925 253866956 272000310 317333695 326400372 362667080 380800434 408000465 453333850 507733912 544000620 571200651 634667390 652800744 680000775 761600868 816000930 906667700 952001085 1088001240 1142401302 1269334780 1360001550 1523201736 1586668475 1632001860 1813335400 1904002170 2040002325 2284802604 2538669560 2720003100 2856003255 3173336950 3264003720 3808004340 4080004650 4569605208 4760005425 5440006200 5712006510 6346673900 7616008680 8160009300 9520010850 11424013020 12693347800 14280016275 16320018600 19040021700 22848026040 28560032550 38080043400 57120065100 114240130200