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134300213345200 = 24527461104044169
BaseRepresentation
bin11110100010010100110100…
…100000100111101110110000
3122121111222022210002002001011
4132202110310200213232300
5120100333314104021300
61153344355525520304
740200604325066020
oct3642246440475660
9577458283062034
10134300213345200
1139879445263541
1213090345873094
1359c25c0459b86
142524244ad7a80
15107d6cb805eba
hex7a2534827bb0

134300213345200 has 120 divisors (see below), whose sum is σ = 369549909479520. Its totient is φ = 45945904588800.

The previous prime is 134300213345197. The next prime is 134300213345201. The reversal of 134300213345200 is 2543312003431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (134300213345201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50731285 + ... + 53312884.

It is an arithmetic number, because the mean of its divisors is an integer number (3079582578996).

Almost surely, 2134300213345200 is an apocalyptic number.

134300213345200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134300213345200 is an abundant number, since it is smaller than the sum of its proper divisors (235249696134320).

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

134300213345200 is a wasteful number, since it uses less digits than its factorization.

134300213345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104044655 (or 104044644 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 134300213345200 its reverse (2543312003431), we get a palindrome (136843525348631).

The spelling of 134300213345200 in words is "one hundred thirty-four trillion, three hundred billion, two hundred thirteen million, three hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 461 560 700 922 1400 1844 2305 2800 3227 3688 4610 6454 7376 9220 11525 12908 16135 18440 23050 25816 32270 36880 46100 51632 64540 80675 92200 129080 161350 184400 258160 322700 645400 1290800 104044169 208088338 416176676 520220845 728309183 832353352 1040441690 1456618366 1664706704 2080883380 2601104225 2913236732 3641545915 4161766760 5202208450 5826473464 7283091830 8323533520 10404416900 11652946928 14566183660 18207729575 20808833800 29132367320 36415459150 41617667600 47964361909 58264734640 72830918300 95928723818 145661836600 191857447636 239821809545 291323673200 335750533363 383714895272 479643619090 671501066726 767429790544 959287238180 1199109047725 1343002133452 1678752666815 1918574476360 2398218095450 2686004266904 3357505333630 3837148952720 4796436190900 5372008533808 6715010667260 8393763334075 9592872381800 13430021334520 16787526668150 19185744763600 26860042669040 33575053336300 67150106672600 134300213345200