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213243201441120 = 25351123395598103
BaseRepresentation
bin110000011111000110001101…
…010001011100110101100000
31000222000211222100112212110010
4300133012031101130311200
5210422234034032103440
62033310324021004520
762626212215245464
oct6037061521346540
91028024870485403
10213243201441120
1161a44a2aa7a394
121babbb64853740
1391ca994670476
143a9305157a4a4
15199be29767580
hexc1f18d45cd60

213243201441120 has 96 divisors (see below), whose sum is σ = 672314230570752. Its totient is φ = 56814217016832.

The previous prime is 213243201441043. The next prime is 213243201441143. The reversal of 213243201441120 is 21144102342312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197260012 + ... + 198338091.

It is an arithmetic number, because the mean of its divisors is an integer number (7003273235112).

Almost surely, 2213243201441120 is an apocalyptic number.

213243201441120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213243201441120 is an abundant number, since it is smaller than the sum of its proper divisors (459071029129632).

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

213243201441120 is a wasteful number, since it uses less digits than its factorization.

213243201441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395599244 (or 395599236 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 213243201441120 its reverse (21144102342312), we get a palindrome (234387303783432).

The spelling of 213243201441120 in words is "two hundred thirteen trillion, two hundred forty-three billion, two hundred one million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1123 2246 3369 4492 5615 6738 8984 11230 13476 16845 17968 22460 26952 33690 35936 44920 53904 67380 89840 107808 134760 179680 269520 539040 395598103 791196206 1186794309 1582392412 1977990515 2373588618 3164784824 3955981030 4747177236 5933971545 6329569648 7911962060 9494354472 11867943090 12659139296 15823924120 18988708944 23735886180 31647848240 37977417888 47471772360 63295696480 94943544720 189887089440 444256669669 888513339338 1332770009007 1777026678676 2221283348345 2665540018014 3554053357352 4442566696690 5331080036028 6663850045035 7108106714704 8885133393380 10662160072056 13327700090070 14216213429408 17770266786760 21324320144112 26655400180140 35540533573520 42648640288224 53310800360280 71081067147040 106621600720560 213243201441120