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201011320000 = 265430716369
BaseRepresentation
bin1011101100110100110…
…1010101010011000000
3201012211211021001201201
42323031031111103000
511243132344220000
6232202054110544
720344151012551
oct2731515252300
9635754231651
10201011320000
1178280716957
1232b5a34b454
1315c559c098a
149a2c538328
15536713e96a
hex2ecd3554c0

201011320000 has 140 divisors (see below), whose sum is σ = 500096886520. Its totient is φ = 80137728000.

The previous prime is 201011319979. The next prime is 201011320051. The reversal of 201011320000 is 23110102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12271816 + ... + 12288184.

It is an arithmetic number, because the mean of its divisors is an integer number (3572120618).

Almost surely, 2201011320000 is an apocalyptic number.

201011320000 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 201011320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250048443260).

201011320000 is an abundant number, since it is smaller than the sum of its proper divisors (299085566520).

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

201011320000 is an equidigital number, since it uses as much as digits as its factorization.

201011320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16708 (or 16683 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 201011320000 its reverse (23110102), we get a palindrome (201034430102).

The spelling of 201011320000 in words is "two hundred one billion, eleven million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 307 320 400 500 614 625 800 1000 1228 1250 1535 1600 2000 2456 2500 3070 4000 4912 5000 6140 7675 8000 9824 10000 12280 15350 16369 19648 20000 24560 30700 32738 38375 40000 49120 61400 65476 76750 81845 98240 122800 130952 153500 163690 191875 245600 261904 307000 327380 383750 409225 491200 523808 614000 654760 767500 818450 1047616 1228000 1309520 1535000 1636900 2046125 2456000 2619040 3070000 3273800 4092250 5025283 5238080 6140000 6547600 8184500 10050566 10230625 12280000 13095200 16369000 20101132 20461250 25126415 26190400 32738000 40202264 40922500 50252830 65476000 80404528 81845000 100505660 125632075 130952000 160809056 163690000 201011320 251264150 321618112 327380000 402022640 502528300 628160375 654760000 804045280 1005056600 1256320750 1608090560 2010113200 2512641500 3140801875 4020226400 5025283000 6281603750 8040452800 10050566000 12563207500 20101132000 25126415000 40202264000 50252830000 100505660000 201011320000