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201200130320 = 24573721146021
BaseRepresentation
bin1011101101100001110…
…1100101100100010000
3201020022222112121210112
42323120131211210100
511244024213132240
6232232521020452
720351632614140
oct2733035454420
9636288477715
10201200130320
1178368256942
1232bb1624728
1315c85b5aa67
149a49646920
1553789d8665
hex2ed8765910

201200130320 has 160 divisors (see below), whose sum is σ = 551680809216. Its totient is φ = 66798950400.

The previous prime is 201200130289. The next prime is 201200130343. The reversal of 201200130320 is 23031002102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201200130295 and 201200130304.

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, 4348910 + ... + 4394930.

Almost surely, 2201200130320 is an apocalyptic number.

201200130320 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 201200130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275840404608).

201200130320 is an abundant number, since it is smaller than the sum of its proper divisors (350480678896).

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

201200130320 is a wasteful number, since it uses less digits than its factorization.

201200130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46289 (or 46283 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 201200130320 its reverse (23031002102), we get a palindrome (224231132422).

The spelling of 201200130320 in words is "two hundred one billion, two hundred million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 211 259 280 296 370 422 518 560 592 740 844 1036 1055 1295 1477 1480 1688 2072 2110 2590 2954 2960 3376 4144 4220 5180 5908 7385 7807 8440 10360 11816 14770 15614 16880 20720 23632 29540 31228 39035 46021 54649 59080 62456 78070 92042 109298 118160 124912 156140 184084 218596 230105 273245 312280 322147 368168 437192 460210 546490 624560 644294 736336 874384 920420 1092980 1288588 1610735 1702777 1840840 2185960 2577176 3221470 3405554 3681680 4371920 5154352 6442940 6811108 8513885 9710431 11919439 12885880 13622216 17027770 19420862 23838878 25771760 27244432 34055540 38841724 47677756 48552155 59597195 67973017 68111080 77683448 95355512 97104310 119194390 135946034 136222160 155366896 190711024 194208620 238388780 271892068 339865085 359285947 388417240 476777560 543784136 679730170 718571894 776834480 953555120 1087568272 1359460340 1437143788 1796429735 2515001629 2718920680 2874287576 3592859470 5030003258 5437841360 5748575152 7185718940 10060006516 12575008145 14371437880 20120013032 25150016290 28742875760 40240026064 50300032580 100600065160 201200130320