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201121200210 = 23572193170853
BaseRepresentation
bin1011101101001111000…
…0011111100001010010
3201020010111000120001010
42323103300133201102
511243344011401320
6232221021151350
720346653665200
oct2732360374122
9636114016033
10201121200210
1178327746547
1232b8b0bb556
1315c726b3658
149a3cd7c070
155371ae6ae0
hex2ed3c1f852

201121200210 has 96 divisors (see below), whose sum is σ = 561796264512. Its totient is φ = 45946104960.

The previous prime is 201121200199. The next prime is 201121200211. The reversal of 201121200210 is 12002121102.

It is not an unprimeable number, because it can be changed into a prime (201121200211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2803144 + ... + 2873996.

It is an arithmetic number, because the mean of its divisors is an integer number (5852044422).

Almost surely, 2201121200210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201121200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280898132256).

201121200210 is an abundant number, since it is smaller than the sum of its proper divisors (360675064302).

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

201121200210 is a wasteful number, since it uses less digits than its factorization.

201121200210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72808 (or 72801 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201121200210 its reverse (12002121102), we get a palindrome (213123321312).

The spelling of 201121200210 in words is "two hundred one billion, one hundred twenty-one million, two hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 1931 3862 5793 9655 11586 13517 19310 27034 28965 40551 57930 67585 70853 81102 94619 135170 141706 189238 202755 212559 283857 354265 405510 425118 473095 495971 567714 708530 946190 991942 1062795 1419285 1487913 2125590 2479855 2838570 2975826 3471797 4959710 6943594 7439565 10415391 14879130 17358985 20830782 34717970 52076955 104153910 136817143 273634286 410451429 684085715 820902858 957720001 1368171430 1915440002 2052257145 2873160003 4104514290 4788600005 5746320006 6704040007 9577200010 13408080014 14365800015 20112120021 28731600030 33520200035 40224240042 67040400070 100560600105 201121200210