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201102320000 = 275414916871
BaseRepresentation
bin1011101101001010100…
…0011110000110000000
3201020002011111100021002
42323102220132012000
511243324143220000
6232215104351132
720346334341641
oct2732250360600
9636064440232
10201102320000
117831802056a
1232b849154a8
1315c6b802b2a
149a3a6656c8
1553701178d5
hex2ed2a1e180

201102320000 has 160 divisors (see below), whose sum is σ = 504021474000. Its totient is φ = 79896320000.

The previous prime is 201102319997. The next prime is 201102320009. The reversal of 201102320000 is 23201102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201102320009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11911565 + ... + 11928435.

Almost surely, 2201102320000 is an apocalyptic number.

201102320000 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 201102320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252010737000).

201102320000 is an abundant number, since it is smaller than the sum of its proper divisors (302919154000).

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

201102320000 is an equidigital number, since it uses as much as digits as its factorization.

201102320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17054 (or 17027 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 201102320000 its reverse (23201102), we get a palindrome (201125521102).

The spelling of 201102320000 in words is "two hundred one billion, one hundred two million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 149 160 200 250 298 320 400 500 596 625 640 745 800 1000 1192 1250 1490 1600 2000 2384 2500 2980 3200 3725 4000 4768 5000 5960 7450 8000 9536 10000 11920 14900 16000 16871 18625 19072 20000 23840 29800 33742 37250 40000 47680 59600 67484 74500 80000 84355 93125 95360 119200 134968 149000 168710 186250 238400 269936 298000 337420 372500 421775 476800 539872 596000 674840 745000 843550 1079744 1192000 1349680 1490000 1687100 2108875 2159488 2384000 2513779 2699360 2980000 3374200 4217750 5027558 5398720 5960000 6748400 8435500 10055116 10544375 10797440 11920000 12568895 13496800 16871000 20110232 21088750 25137790 26993600 33742000 40220464 42177500 50275580 53987200 62844475 67484000 80440928 84355000 100551160 125688950 134968000 160881856 168710000 201102320 251377900 269936000 314222375 321763712 337420000 402204640 502755800 628444750 674840000 804409280 1005511600 1256889500 1349680000 1571111875 1608818560 2011023200 2513779000 3142223750 4022046400 5027558000 6284447500 8044092800 10055116000 12568895000 20110232000 25137790000 40220464000 50275580000 100551160000 201102320000