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201244330320 = 243511142753419
BaseRepresentation
bin1011101101101100011…
…0001100100101010000
3201020110001201012210120
42323123012030211100
511244122022032240
6232241140230240
720353010404125
oct2733306144520
9636401635716
10201244330320
11783901a5a70
123300439b380
1315c920651c7
149a5147074c
15537c819ad0
hex2edb18c950

201244330320 has 160 divisors (see below), whose sum is σ = 681061409280. Its totient is φ = 48751403520.

The previous prime is 201244330279. The next prime is 201244330381. The reversal of 201244330320 is 23033442102.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3740571 + ... + 3793989.

It is an arithmetic number, because the mean of its divisors is an integer number (4256633808).

Almost surely, 2201244330320 is an apocalyptic number.

201244330320 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 201244330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340530704640).

201244330320 is an abundant number, since it is smaller than the sum of its proper divisors (479817078960).

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

201244330320 is a wasteful number, since it uses less digits than its factorization.

201244330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54873 (or 54867 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 201244330320 its reverse (23033442102), we get a palindrome (224277772422).

The spelling of 201244330320 in words is "two hundred one billion, two hundred forty-four million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 1427 2640 2854 4281 5708 7135 8562 11416 14270 15697 17124 21405 22832 28540 31394 34248 42810 47091 53419 57080 62788 68496 78485 85620 94182 106838 114160 125576 156970 160257 171240 188364 213676 235455 251152 267095 313940 320514 342480 376728 427352 470910 534190 587609 627880 641028 753456 801285 854704 941820 1068380 1175218 1255760 1282056 1602570 1762827 1883640 2136760 2350436 2564112 2938045 3205140 3525654 3767280 4273520 4700872 5876090 6410280 7051308 8814135 9401744 11752180 12820560 14102616 17628270 23504360 28205232 35256540 47008720 70513080 76228913 141026160 152457826 228686739 304915652 381144565 457373478 609831304 762289130 838518043 914746956 1143433695 1219662608 1524578260 1677036086 1829493912 2286867390 2515554129 3049156520 3354072172 3658987824 4192590215 4573734780 5031108258 6098313040 6708144344 8385180430 9147469560 10062216516 12577770645 13416288688 16770360860 18294939120 20124433032 25155541290 33540721720 40248866064 50311082580 67081443440 100622165160 201244330320