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201340213400 = 235211314959791
BaseRepresentation
bin1011101110000011001…
…1111101100010011000
3201020200202010120122202
42323200303331202120
511244321043312100
6232254443305332
720355253401464
oct2734063754230
9636622116582
10201340213400
117842a335387
123303051b248
1315ca8b96b61
149a600ad4a4
155385e597d5
hex2ee0cfd898

201340213400 has 96 divisors (see below), whose sum is σ = 475436088000. Its totient is φ = 79286323200.

The previous prime is 201340213387. The next prime is 201340213483. The reversal of 201340213400 is 4312043102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3337505 + ... + 3397295.

It is an arithmetic number, because the mean of its divisors is an integer number (4952459250).

Almost surely, 2201340213400 is an apocalyptic number.

201340213400 is a gapful number since it is divisible by the number (20) 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 201340213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237718044000).

201340213400 is an abundant number, since it is smaller than the sum of its proper divisors (274095874600).

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

201340213400 is a wasteful number, since it uses less digits than its factorization.

201340213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60069 (or 60060 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 201340213400 its reverse (4312043102), we get a palindrome (205652256502).

The spelling of 201340213400 in words is "two hundred one billion, three hundred forty million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 149 200 226 298 452 565 596 745 904 1130 1192 1490 2260 2825 2980 3725 4520 5650 5960 7450 11300 14900 16837 22600 29800 33674 59791 67348 84185 119582 134696 168370 239164 298955 336740 420925 478328 597910 673480 841850 1195820 1494775 1683700 2391640 2989550 3367400 5979100 6756383 8908859 11958200 13512766 17817718 27025532 33781915 35635436 44544295 54051064 67563830 71270872 89088590 135127660 168909575 178177180 222721475 270255320 337819150 356354360 445442950 675638300 890885900 1006701067 1351276600 1781771800 2013402134 4026804268 5033505335 8053608536 10067010670 20134021340 25167526675 40268042680 50335053350 100670106700 201340213400